Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

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

sample1.7s (15.6%)

Results

1.2s	7065×	1	valid
82.0ms	1191×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 987.0ms

ival-log: 512.0ms (51.9% of total)

backward-pass: 119.0ms (12.1% of total)

ival-add: 111.0ms (11.2% of total)

ival-sub: 90.0ms (9.1% of total)

ival->: 87.0ms (8.8% of total)

ival-<: 30.0ms (3% of total)

ival-and: 20.0ms (2% of total)

const: 18.0ms (1.8% of total)

Bogosity

preprocess38.0ms (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)))

explain123.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
250	-	2	(12.858995795194634)	`(-.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

85.0ms	440×	1	valid
5.0ms	72×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

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

ival-log: 36.0ms (61.2% of total)

backward-pass: 10.0ms (17% of total)

ival-add: 6.0ms (10.2% of total)

ival-sub: 6.0ms (10.2% of total)

const: 1.0ms (1.7% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	23.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize267.0ms (2.4%)

Localize:

Found 7 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))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log.f64 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	98.8%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

224.0ms	231×	5	exit
3.0ms	25×	0	valid

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-log: 105.0ms (60.4% of total)

backward-pass: 31.0ms (17.8% of total)

compiled-spec: 18.0ms (10.4% of total)

ival-sub: 12.0ms (6.9% of total)

ival-add: 6.0ms (3.5% of total)

const: 1.0ms (0.6% of total)

series77.0ms (0.7%)

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
51.0ms	N	@	0	(log N)
18.0ms	N	@	-inf	(log N)
6.0ms	N	@	inf	(log N)
0.0ms	N	@	-inf	(- (log (+ N 1)) (log N))
0.0ms	N	@	inf	(- (log (+ N 1)) (log N))

rewrite309.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	65	19
2	393	19
3	3845	19
0	8319	19

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 561

Calls

Call 1

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

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

simplify212.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	580
1	280	500
2	737	490
3	2060	486
4	6700	484
0	8333	484

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval107.0ms (1%)

Compiler: Compiled 15736 to 1233 computations (92.2% saved)

prune72.0ms (0.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	633	15	648
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	634	16	650

Accuracy

99.6%

Counts

650 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	24.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	25.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
▶	21.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
	23.1%	(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
	23.1%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (pow.f64 (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 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
	95.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
▶	97.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
	93.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
▶	85.1%	(/.f64 #s(literal 1 binary64) N)
✓	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.3%	(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	25.8%	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))
	26.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
▶	25.8%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
▶	25.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))

Compiler

Compiled 784 to 382 computations (51.3% saved)

simplify158.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	cost-diff	26560	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
✓	cost-diff	256	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64))
✓	cost-diff	13056	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 N #s(literal 1 binary64)) N)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)

Rules

2208×	`fnmadd-define`
1934×	`fma-lowering-fma.f32`
1934×	`fma-lowering-fma.f64`
1828×	`fma-define`
1716×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	267
1	73	257
2	137	243
3	304	242
4	759	242
5	2553	238
6	5454	238
0	8209	238

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize582.0ms (5.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	99.9%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	99.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	98.8%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
✓	accuracy	99.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
✓	accuracy	99.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 N #s(literal 1 binary64)) N)
✓	accuracy	99.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
✓	accuracy	99.9%	(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))

Results

490.0ms	231×	5	exit
10.0ms	25×	0	valid

Compiler

Compiled 279 to 34 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 343.0ms

backward-pass: 139.0ms (40.6% of total)

ival-mult: 53.0ms (15.5% of total)

ival-log: 43.0ms (12.6% of total)

ival-div: 32.0ms (9.3% of total)

compiled-spec: 26.0ms (7.6% of total)

ival-add: 17.0ms (5% of total)

ival-pow: 13.0ms (3.8% of total)

...c/correct-round.rkt:119:19: 9.0ms (2.6% of total)

ival-exp: 6.0ms (1.8% of total)

ival-neg: 3.0ms (0.9% of total)

const: 2.0ms (0.6% of total)

series29.0ms (0.3%)

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (/ (+ 1 (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)) N)>
#<alt (+ 1 (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N))>
#<alt (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)>
#<alt (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))>
#<alt (/ 1 N)>
#<alt (log (/ (+ N 1) N))>
#<alt (/ (+ N 1) N)>
#<alt (+ N 1)>
#<alt (exp (* (log (/ 1 (log (/ (+ N 1) N)))) -1))>
#<alt (* (log (/ 1 (log (/ (+ N 1) N)))) -1)>
#<alt (log (/ 1 (log (/ (+ N 1) N))))>
#<alt (/ 1 (log (/ (+ N 1) N)))>
#<alt (+ (* (/ (pow (log (+ 1 N)) 2) (* (log (/ (+ N 1) N)) (log (* N (+ N 1))))) (log (/ (+ N 1) N))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))>
#<alt (/ (pow (log (+ 1 N)) 2) (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))))>
#<alt (pow (log (+ 1 N)) 2)>
#<alt (log (+ 1 N))>
#<alt (+ 1/3 (/ -1/4 N))>
#<alt (/ (+ 1/3 (/ -1/4 N)) 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 (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt (/ (+ 1 N) N)>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (/ 1 N))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 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 (log (/ -1 (log N))))>
#<alt (+ (* -1 (log (/ -1 (log N)))) (* -1 (/ N (log N))))>
#<alt (+ (* -1 (log (/ -1 (log N)))) (* N (- (* -1/2 (* N (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))>
#<alt (+ (* -1 (log (/ -1 (log N)))) (* N (- (* N (+ (* -1/2 (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (* -1/6 (* N (+ (* -6 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 6 (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))))))))) (/ 1 (log N)))))>
#<alt (log (/ 1 N))>
#<alt (- (log (/ 1 N)) (* 1/2 (/ 1 N)))>
#<alt (- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (* 1/2 (/ 1 N)))>
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#<alt (pow N 2)>
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#<alt N>
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#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>

Calls

54 calls:

Time	Variable		Point	Expression
6.0ms	N	@	inf	(+ (* (/ (pow (log (+ 1 N)) 2) (* (log (/ (+ N 1) N)) (log (* N (+ N 1))))) (log (/ (+ N 1) N))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))
4.0ms	N	@	-inf	(+ (* (/ (pow (log (+ 1 N)) 2) (* (log (/ (+ N 1) N)) (log (* N (+ N 1))))) (log (/ (+ N 1) N))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))
2.0ms	N	@	inf	(/ (pow (log (+ 1 N)) 2) (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))))
2.0ms	N	@	-inf	(/ (pow (log (+ 1 N)) 2) (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))))
1.0ms	N	@	0	(* (log (/ 1 (log (/ (+ N 1) N)))) -1)

rewrite390.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4504×	`-lowering-.f32`
4504×	`-lowering-.f64`
2950×	`/-lowering-/.f32`
2950×	`/-lowering-/.f64`
2552×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	157
1	208	155
2	1812	143
0	8354	143

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 747

Calls

Call 1

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

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

simplify323.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4242×	`-lowering-.f32`
4242×	`-lowering-.f64`
4074×	`+-lowering-+.f64`
4074×	`+-lowering-+.f32`
2244×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	649	4588
1	2269	4199
0	8338	4199

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

eval200.0ms (1.8%)

Compiler: Compiled 56068 to 4448 computations (92.1% saved)

prune224.0ms (2%)

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	1486	30	1516
Fresh	6	4	10
Picked	1	4	5
Done	0	1	1
Total	1493	39	1532

Accuracy

99.8%

Counts

1532 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
✓	21.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
	25.8%	(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	25.8%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	25.8%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
	96.9%	(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))) N)
	96.7%	(/.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)
	96.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))) N)
▶	96.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))) N)
	23.1%	(/.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))))
	23.1%	(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
	20.9%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (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)))))
	21.1%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	95.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
▶	93.2%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
	20.9%	(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
	20.9%	(/.f64 (+.f64 (.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (+.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)))))))
	20.9%	(/.f64 (+.f64 (.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (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 #s(literal 1 binary64) N) N)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.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)))))
	20.3%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -3 binary64))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	20.9%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.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))))) #s(literal 1 binary64))) (.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 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	97.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
	97.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) N)) N)
	96.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))))
▶	97.0%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
✓	85.1%	(/.f64 #s(literal 1 binary64) N)
✓	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.3%	(+.f64 (log1p.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) N)))
▶	25.8%	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))
	96.9%	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
	26.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	25.8%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	92.4%	(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/24 binary64) N) #s(literal -1/2 binary64)) N) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N N)) N))))
	92.3%	(exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))) #s(literal -1 binary64)))
	25.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))) #s(literal -1 binary64)))
	23.1%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1 binary64)))
	23.2%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
▶	24.2%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) 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)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))) #s(literal -1 binary64)))
	25.8%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))

Compiler

Compiled 2413 to 1083 computations (55.1% saved)

simplify251.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	cost-diff	0	(.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	0	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))
✓	cost-diff	0	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	0	(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))
✓	cost-diff	12928	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))) N)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
✓	cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))

Rules

3016×	`-lowering-.f32`
3016×	`-lowering-.f64`
2156×	`+-lowering-+.f64`
2156×	`+-lowering-+.f32`
1662×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	619
1	119	607
2	275	602
3	839	601
4	2562	601
5	6882	601
0	8065	601

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize461.0ms (4.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	accuracy	98.8%	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	accuracy	26.6%	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	26.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	95.2%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
✓	accuracy	26.6%	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))))
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
✓	accuracy	99.4%	(.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
✓	accuracy	99.2%	(*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) N)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
✓	accuracy	99.8%	(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)

Results

272.0ms	186×	1	valid
55.0ms	69×	0	valid
4.0ms	1×	5	exit

Compiler

Compiled 736 to 55 computations (92.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-div: 59.0ms (24.9% of total)

ival-log: 52.0ms (21.9% of total)

ival-mult: 27.0ms (11.4% of total)

ival-add: 26.0ms (11% of total)

ival-pow: 23.0ms (9.7% of total)

backward-pass: 22.0ms (9.3% of total)

compiled-spec: 11.0ms (4.6% of total)

...c/correct-round.rkt:119:19: 8.0ms (3.4% of total)

ival-exp: 4.0ms (1.7% of total)

const: 2.0ms (0.8% of total)

ival-sub: 2.0ms (0.8% of total)

series42.0ms (0.4%)

Counts

27 → 324

Calls

Call 1

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

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 (/ -1/2 (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (/ -1/2 N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/4 (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 (* -4 (pow N 3))>
#<alt (* (pow N 3) (- (* -16/3 N) 4))>
#<alt (* (pow N 3) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 3) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))>
#<alt (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))>
#<alt (/ 1/16 (pow N 6))>
#<alt (/ (+ 1/16 (* -1/6 N)) (pow N 6))>
#<alt (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))>
#<alt (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))>
#<alt (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))>
#<alt (+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N)))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
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#<alt (* -1 (pow (log N) 2))>
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#<alt (* -2 (/ (log (/ 1 N)) N))>
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#<alt (* -1 (log N))>
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#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
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#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
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#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ 1/3 N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ 1/3 N)>
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#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (/ -1/4 N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt 1/3>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt 1/3>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (/ 1/16 (pow N 6))>
#<alt (/ (+ 1/16 (* -1/6 N)) (pow N 6))>
#<alt (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))>
#<alt (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))>
#<alt (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))>
#<alt (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))>
#<alt (/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))>
#<alt (/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))>
#<alt (/ -1/64 (pow N 9))>
#<alt (/ (- (* 1/16 N) 1/64) (pow N 9))>
#<alt (/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))>
#<alt (/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))>
#<alt (/ -1/8 (pow N 3))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))>
#<alt (/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))>
#<alt (/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))>
#<alt (/ -1/8 (pow N 3))>
#<alt (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3)))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 17/48 (* 31/108 (/ 1 N))) N))) N))) (pow N 3)))>
#<alt (log N)>
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#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
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#<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 (log N)>
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#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
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#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
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#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (pow (log N) 3)>
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#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))>
#<alt (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))>
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#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
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#<alt (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -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))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))>
#<alt (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -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)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))>

Calls

81 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	(* (/ (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))) (+ (pow (log N) 3) (pow (log (+ 1 N)) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ N 1))))))
5.0ms	N	@	inf	(* (/ (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))) (+ (pow (log N) 3) (pow (log (+ 1 N)) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ N 1))))))
4.0ms	N	@	0	(pow (log N) 3)
3.0ms	N	@	0	(/ (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))) (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)))
2.0ms	N	@	-inf	(/ (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))) (+ (pow (log N) 3) (pow (log (+ 1 N)) 3)))

rewrite379.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3128×	`-lowering-.f32`
3128×	`-lowering-.f64`
2424×	`/-lowering-/.f32`
2424×	`/-lowering-/.f64`
2172×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	331
1	362	292
2	3429	292
0	8294	292

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 851

Calls

Call 1

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

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

simplify385.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4588×	`-lowering-.f32`
4588×	`-lowering-.f64`
4118×	`+-lowering-+.f64`
4118×	`+-lowering-+.f32`
1674×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	983	7594
1	3438	7041
0	8433	7041

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

Outputs
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (+.f64 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(* -4 (pow N 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -4 binary64))
(* (pow N 4) (- (* -16/3 N) 4))
(.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 (.f64 N #s(literal -16/3 binary64)) #s(literal -4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 (.f64 N (+.f64 (*.f64 N #s(literal 8/9 binary64)) #s(literal -16/3 binary64))) #s(literal -4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 8/9 binary64) (.f64 N #s(literal -112/27 binary64)))) #s(literal -16/3 binary64))) #s(literal -4 binary64)))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
(/ -1/2 (pow N 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- N 1/2) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(/ (- N 1/2) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(/ (- N 1/2) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (+.f64 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
(* -4 (pow N 3))
(.f64 (.f64 N (*.f64 N N)) #s(literal -4 binary64))
(* (pow N 3) (- (* -16/3 N) 4))
(.f64 (.f64 N (.f64 N N)) (+.f64 (.f64 N #s(literal -16/3 binary64)) #s(literal -4 binary64)))
(* (pow N 3) (- (* N (- (* 8/9 N) 16/3)) 4))
(.f64 (.f64 N (.f64 N N)) (+.f64 (.f64 N (+.f64 (*.f64 N #s(literal 8/9 binary64)) #s(literal -16/3 binary64))) #s(literal -4 binary64)))
(* (pow N 3) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(.f64 (.f64 N (.f64 N N)) (+.f64 (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 8/9 binary64) (.f64 N #s(literal -112/27 binary64)))) #s(literal -16/3 binary64))) #s(literal -4 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))
(- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))
(+.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)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) #s(literal -1/2 binary64)) N))
(/ 1/16 (pow N 6))
(/.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal 6 binary64)))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 N #s(literal -1/6 binary64))) (pow.f64 N #s(literal 6 binary64)))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 N (+.f64 (.f64 N #s(literal 13/36 binary64)) #s(literal -1/6 binary64)))) (pow.f64 N #s(literal 6 binary64)))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 13/36 binary64) (*.f64 N #s(literal -1/12 binary64)))) #s(literal -1/6 binary64)))) (pow.f64 N #s(literal 6 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ 1 N)))
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(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/8 binary64)) (/.f64 #s(literal 17/48 binary64) (.f64 N N))) (.f64 N (*.f64 N N)))
(/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 31/108 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 17/48 binary64) (.f64 N N)))) (.f64 N (*.f64 N N)))
(/ -1/8 (pow N 3))
(/.f64 #s(literal -1/8 binary64) (.f64 N (.f64 N N)))
(* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) N))) (.f64 N (*.f64 N N)))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3)))
(.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -17/48 binary64) N)) N)) (.f64 N N)))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 17/48 (* 31/108 (/ 1 N))) N))) N))) (pow N 3)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 17/48 binary64) (/.f64 #s(literal 31/108 binary64) N)) N)) N)) (neg.f64 (.f64 N (.f64 N N))))
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* 1/2 N) 1)))
(+.f64 (log.f64 N) (.f64 N (+.f64 (.f64 N #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(+.f64 (log.f64 N) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 N #s(literal -1/3 binary64)))) #s(literal -1 binary64))))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N)
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N))
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* 1/2 N) 1)))
(+.f64 (log.f64 N) (.f64 N (+.f64 (.f64 N #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(+.f64 (log.f64 N) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 N #s(literal -1/3 binary64)))) #s(literal -1 binary64))))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N)
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N))
(pow (log N) 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 3)
(.f64 N (.f64 N N))
(* (pow N 3) (+ 1 (* -3/2 N)))
(.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N #s(literal -3/2 binary64))))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (*.f64 N #s(literal 7/4 binary64)) #s(literal -3/2 binary64)))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 7/4 binary64) (.f64 N #s(literal -15/8 binary64)))) #s(literal -3/2 binary64)))))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))
(+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N)))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 N N)) (+.f64 (+.f64 (.f64 (/.f64 (log.f64 N) N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N)) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 N N)))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 N N)) (+.f64 (+.f64 (.f64 (/.f64 (log.f64 N) N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N)) (.f64 (/.f64 (log.f64 N) N) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64)) (.f64 N N)))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 N N)) (/.f64 (.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 #s(literal 0 binary64) (log.f64 N))) (.f64 N (.f64 N N))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N))))))))
(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))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) N))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -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))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(-.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 (.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) N)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) N))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -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)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(-.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 (.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (-.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64))))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) N))

eval272.0ms (2.4%)

Compiler: Compiled 93330 to 6967 computations (92.5% saved)

prune222.0ms (2%)

Pruning

43 alts after pruning (37 fresh and 6 done)

	Pruned	Kept	Total
New	1713	18	1731
Fresh	10	19	29
Picked	4	1	5
Done	0	5	5
Total	1727	43	1770

Accuracy

99.9%

Counts

1770 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
✓	21.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
	25.8%	(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	25.8%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	25.8%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
▶	93.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))) N)
	97.2%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) #s(literal -1/2 binary64)) N))) N)
	96.2%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N))) N)
	97.2%	(/.f64 (/.f64 #s(literal 1 binary64) (+.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)
	93.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
	23.1%	(/.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))))
	23.1%	(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
	20.9%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (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)))))
	21.1%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	95.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
✓	93.2%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
	20.9%	(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
	20.9%	(/.f64 (+.f64 (.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (+.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)))))))
	20.9%	(/.f64 (+.f64 (.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (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 #s(literal 1 binary64) N) N)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.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)))))
	20.3%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -3 binary64))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	20.9%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.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))))) #s(literal 1 binary64))) (.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 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
▶	92.9%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	97.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
	95.9%	(/.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))))
▶	97.3%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
	96.2%	(/.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)))))
	93.8%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
✓	85.1%	(/.f64 #s(literal 1 binary64) N)
✓	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.3%	(+.f64 (log1p.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) N)))
	26.3%	(.f64 (/.f64 (.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))
	23.8%	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N)))))
▶	25.8%	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))
	21.8%	(.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) 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 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))
	25.8%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))) #s(literal -1 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))
	26.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	25.8%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	25.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))) #s(literal -1 binary64)))
	23.1%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1 binary64)))
	23.2%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
	92.6%	(exp.f64 (.f64 (log.f64 (.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))))) #s(literal -1 binary64)))
	26.3%	(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))))
	25.8%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))

Compiler

Compiled 2493 to 1225 computations (50.9% saved)

simplify167.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6336	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))
✓	cost-diff	6336	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	cost-diff	6464	(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 N))))
✓	cost-diff	6464	(+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(exp.f64 #s(literal -1 binary64))
✓	cost-diff	12736	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
✓	cost-diff	12864	(pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))) N)
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(+.f64 N #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
✓	cost-diff	128	(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64))
✓	cost-diff	512	(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
✓	cost-diff	512	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))

Rules

3272×	`-lowering-.f32`
3272×	`-lowering-.f64`
1308×	`sum3-define`
1254×	`sum4-define`
1216×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	604
1	143	581
2	337	574
3	1080	569
4	4021	558
0	8652	558

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)))
1
(* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))
(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N))
(- 1/2 (/ (+ 1/12 (/ -1/24 N)) N))
1/2
(/ (+ 1/12 (/ -1/24 N)) N)
(+ 1/12 (/ -1/24 N))
1/12
(/ -1/24 N)
-1/24
N
(- 0 N)
0
-1
(/ (+ N -1/2) (* N N))
(+ N -1/2)
N
-1/2
(* N N)
(/ (/ 1 (/ (+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))) (+ 1 (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)))))) N)
(/ 1 (/ (+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))) (+ 1 (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N))))))
1
(/ (+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))) (+ 1 (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)))))
(+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)))))
(/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))
(- (/ -1/4 (* N (* N N))) 1)
(/ -1/4 (* N (* N N)))
-1/4
(* N (* N N))
N
(* N N)
(/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)))
(+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))
-1/2
(/ (+ 1/3 (/ -1/4 N)) N)
(+ 1/3 (/ -1/4 N))
1/3
(/ -1/4 N)
(+ 1 (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N))))
(* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)))
(/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)
(* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N))
(pow (pow (exp -1) -1) (log (log (/ (+ 1 N) N))))
(pow (exp -1) -1)
(exp -1)
-1
(log (log (/ (+ 1 N) N)))
(log (/ (+ 1 N) N))
(/ (+ 1 N) N)
(+ 1 N)
1
N
(* (/ (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))) (+ (exp (* 3 (log (log N)))) (pow (log (+ 1 N)) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ N 1))))))
(/ (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))) (+ (exp (* 3 (log (log N)))) (pow (log (+ 1 N)) 3)))
(* (log (/ (+ N 1) N)) (log (* N (+ N 1))))
(log (/ (+ N 1) N))
(/ (+ N 1) N)
(+ N 1)
N
1
(log (* N (+ N 1)))
(* N (+ N 1))
(+ (exp (* 3 (log (log N)))) (pow (log (+ 1 N)) 3))
(exp (* 3 (log (log N))))
(* 3 (log (log N)))
3
(log (log N))
(log N)
(pow (log (+ 1 N)) 3)
(log (+ 1 N))
(+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ N 1)))))
(pow (log (+ 1 N)) 2)
2
(* (log N) (log (/ N (+ N 1))))
(log (/ N (+ N 1)))
(/ N (+ N 1))

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

localize577.0ms (5.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	accuracy	97.5%	(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 N))))
✓	accuracy	26.3%	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	25.8%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
✓	accuracy	100.0%	(log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
✓	accuracy	94.5%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
✓	accuracy	25.8%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	accuracy	99.5%	(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
✓	accuracy	99.4%	(.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
✓	accuracy	99.2%	(*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
✓	accuracy	100.0%	(+.f64 N #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	99.6%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	accuracy	99.8%	(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
✓	accuracy	99.8%	(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
✓	accuracy	99.4%	(/.f64 #s(literal -1/24 binary64) N)

Results

362.0ms	194×	1	valid
51.0ms	62×	0	valid

Compiler

Compiled 742 to 69 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

ival-div: 64.0ms (21.5% of total)

ival-log: 62.0ms (20.8% of total)

ival-pow: 37.0ms (12.4% of total)

ival-mult: 29.0ms (9.7% of total)

ival-add: 28.0ms (9.4% of total)

backward-pass: 27.0ms (9.1% of total)

...c/correct-round.rkt:119:19: 20.0ms (6.7% of total)

ival-exp: 11.0ms (3.7% of total)

compiled-spec: 11.0ms (3.7% of total)

ival-sub: 6.0ms (2% of total)

const: 2.0ms (0.7% of total)

series27.0ms (0.2%)

Counts

32 → 360

Calls

Call 1

Inputs
#<alt (/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)))>
#<alt (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))>
#<alt (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)>
#<alt (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N))>
#<alt (/ (+ N -1/2) (* N N))>
#<alt (+ N -1/2)>
#<alt (* N N)>
#<alt (/ (/ 1 (/ (+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))) (+ 1 (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)))))) N)>
#<alt (/ 1 (/ (+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))) (+ 1 (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N))))))>
#<alt (/ (+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))) (+ 1 (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)))))>
#<alt (+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)))))>
#<alt (pow (exp -1) -1)>
#<alt (pow (pow (exp -1) -1) (log (log (/ (+ 1 N) N))))>
#<alt (exp -1)>
#<alt (+ 1 N)>
#<alt (+ (exp (* 3 (log (log N)))) (pow (log (+ 1 N)) 3))>
#<alt (exp (* 3 (log (log N))))>
#<alt (* (/ (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))) (+ (exp (* 3 (log (log N)))) (pow (log (+ 1 N)) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ N 1))))))>
#<alt (/ (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))) (+ (exp (* 3 (log (log N)))) (pow (log (+ 1 N)) 3)))>
#<alt (/ -1/24 N)>
#<alt (/ (+ 1/12 (/ -1/24 N)) N)>
#<alt (+ 1/12 (/ -1/24 N))>
#<alt (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N))>
#<alt (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)))>
#<alt (/ (+ 1/3 (/ -1/4 N)) N)>
#<alt (/ -1/4 (* N (* N N)))>
#<alt (log (/ (+ 1 N) N))>
#<alt (log (log (/ (+ 1 N) N)))>
#<alt (/ (+ 1 N) N)>
#<alt (log (/ (+ N 1) N))>
#<alt (log (/ N (+ N 1)))>
#<alt (pow (log (+ 1 N)) 3)>

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)))>
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#<alt (/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))>
#<alt (/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))>
#<alt (/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))>
#<alt (/ -1/64 (pow N 9))>
#<alt (/ (- (* 1/16 N) 1/64) (pow N 9))>
#<alt (/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))>
#<alt (/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))>
#<alt (/ -1/8 (pow N 3))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))>
#<alt (/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))>
#<alt (/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))>
#<alt (/ -1/8 (pow N 3))>
#<alt (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3)))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 17/48 (* 31/108 (/ 1 N))) N))) N))) (pow N 3)))>
#<alt (/ -1/4 (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ 1/3 N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) N)>
#<alt (/ 1/3 N)>
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ -1/4 (pow N 3))>
#<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 (log (* -1 (log N)))>
#<alt (+ (log (* -1 (log N))) (* -1 (/ N (log N))))>
#<alt (+ (log (* -1 (log N))) (* N (- (* 1/2 (* N (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))>
#<alt (+ (log (* -1 (log N))) (* N (- (* N (+ (* 1/6 (* N (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (log N))) (* 2 (/ 1 (pow (log N) 3))))))) (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N)))))>
#<alt (log (/ 1 N))>
#<alt (- (log (/ 1 N)) (* 1/2 (/ 1 N)))>
#<alt (- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3)))))>
#<alt (+ (log -1) (log (/ -1 N)))>
#<alt (- (+ (log -1) (log (/ -1 N))) (* 1/2 (/ 1 N)))>
#<alt (+ (log -1) (+ (log (/ -1 N)) (* -1 (/ (- 1/2 (* 5/24 (/ 1 N))) N))))>
#<alt (+ (log -1) (+ (log (/ -1 N)) (* -1 (/ (+ 1/2 (* -1 (/ (- 5/24 (* 1/8 (/ 1 N))) N))) 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 (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 (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 3)>
#<alt (* (pow N 3) (+ 1 (* -3/2 N)))>
#<alt (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))>
#<alt (* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))>
#<alt (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))>
#<alt (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))>
#<alt (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -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))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))>
#<alt (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -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)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))>

Calls

90 calls:

Time	Variable		Point	Expression
5.0ms	N	@	inf	(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)
1.0ms	N	@	0	(pow (pow (exp -1) -1) (log (log (/ (+ 1 N) N))))
1.0ms	N	@	inf	(pow (pow (exp -1) -1) (log (log (/ (+ 1 N) N))))
1.0ms	N	@	-inf	(pow (pow (exp -1) -1) (log (log (/ (+ 1 N) N))))
1.0ms	N	@	-inf	(* (/ (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))) (+ (exp (* 3 (log (log N)))) (pow (log (+ 1 N)) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ N 1))))))

rewrite366.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2762×	`fma-lowering-fma.f32`
2762×	`fma-lowering-fma.f64`
2536×	`-lowering-.f32`
2536×	`-lowering-.f64`
2394×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	386
1	442	361
2	4266	359
0	8182	359

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 728

Calls

Call 1

Inputs
(/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)))
(* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))
(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N))
(/ (+ N -1/2) (* N N))
(+ N -1/2)
(* N N)
(/ (/ 1 (/ (+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))) (+ 1 (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)))))) N)
(/ 1 (/ (+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))) (+ 1 (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N))))))
(/ (+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))) (+ 1 (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)))))
(+ 1 (/ (- (/ -1/4 (* N (* N N))) 1) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)))))
(pow (exp -1) -1)
(pow (pow (exp -1) -1) (log (log (/ (+ 1 N) N))))
(exp -1)
(+ 1 N)
(+ (exp (* 3 (log (log N)))) (pow (log (+ 1 N)) 3))
(exp (* 3 (log (log N))))
(* (/ (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))) (+ (exp (* 3 (log (log N)))) (pow (log (+ 1 N)) 3))) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (/ N (+ N 1))))))
(/ (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))) (+ (exp (* 3 (log (log N)))) (pow (log (+ 1 N)) 3)))
(/ -1/24 N)
(/ (+ 1/12 (/ -1/24 N)) N)
(+ 1/12 (/ -1/24 N))
(* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N))
(* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (* (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)))
(/ (+ 1/3 (/ -1/4 N)) N)
(/ -1/4 (* N (* N N)))
(log (/ (+ 1 N) N))
(log (log (/ (+ 1 N) N)))
(/ (+ 1 N) N)
(log (/ (+ N 1) N))
(log (/ N (+ N 1)))
(pow (log (+ 1 N)) 3)

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

simplify370.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4834×	`-lowering-.f32`
4834×	`-lowering-.f64`
4184×	`+-lowering-+.f64`
4184×	`+-lowering-+.f32`
1766×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1076	8014
1	3673	7347
0	8790	7347

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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 1/2)
(- N 1/2)
(- N 1/2)
N
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- 1 (* 1/2 (/ 1 N))))
N
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(/ -1/4 (pow N 4))
(/ (- (* 2/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 2/3 (* -13/9 N))) 1/4) (pow N 4))
(/ (- (* N (+ 2/3 (* N (- (* 7/3 N) 13/9)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 7/12 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 7/12 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 5/6 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 7/12 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 5/6 (/ 1 N)) 7/12) N)) 1/2) N)) 1) N))
(/ -1/4 (pow N 3))
(/ (- (* 2/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 2/3 (* -13/9 N))) 1/4) (pow N 3))
(/ (- (* N (+ 2/3 (* N (- (* 7/3 N) 13/9)))) 1/4) (pow N 3))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 7/12 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 7/12 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 5/6 (/ 1 (pow N 3)))))
1
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 7/12 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 7/12 (* 5/6 (/ 1 N))) N))) N)))
(* -4 (pow N 3))
(* (pow N 3) (- (* -32/3 N) 4))
(* (pow N 3) (- (* N (- (* -16/3 N) 32/3)) 4))
(* (pow N 3) (- (* N (- (* N (- (* 272/27 N) 16/3)) 32/3)) 4))
1
(+ 1 (* 1/2 (/ 1 N)))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/3 (pow N 2)))
(- (+ 1 (+ (* 1/2 (/ 1 N)) (* 3/8 (/ 1 (pow N 3))))) (/ 1/3 (pow N 2)))
1
(+ 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 3/8 (/ 1 N)) 1/3) N)) 1/2) N)))
(/ 1/16 (pow N 6))
(/ (+ 1/16 (* -1/12 N)) (pow N 6))
(/ (+ 1/16 (* N (- (* 1/8 N) 1/12))) (pow N 6))
(/ (+ 1/16 (* N (- (* N (+ 1/8 (* 1/4 N))) 1/12))) (pow N 6))
1
(+ 1 (* 1/2 (/ 1 N)))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/3 (pow N 2)))
(- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/ 1/3 (pow N 2)))
1
(+ 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)))
(pow (/ 1 (exp -1)) (log (* -1 (log N))))
(+ (* -1 (/ (* N (* (log (/ 1 (exp -1))) (pow (/ 1 (exp -1)) (log (* -1 (log N)))))) (log N))) (pow (/ 1 (exp -1)) (log (* -1 (log N)))))
(+ (* N (+ (* -1 (/ (* (log (/ 1 (exp -1))) (pow (/ 1 (exp -1)) (log (* -1 (log N))))) (log N))) (* N (* (+ (* 1/2 (* (log (/ 1 (exp -1))) (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (* 1/2 (/ (pow (log (/ 1 (exp -1))) 2) (pow (log N) 2)))) (pow (/ 1 (exp -1)) (log (* -1 (log N)))))))) (pow (/ 1 (exp -1)) (log (* -1 (log N)))))
(+ (* N (+ (* -1 (/ (* (log (/ 1 (exp -1))) (pow (/ 1 (exp -1)) (log (* -1 (log N))))) (log N))) (* N (+ (* N (* (+ (* -1/2 (/ (* (pow (log (/ 1 (exp -1))) 2) (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) (log N))) (+ (* -1/6 (/ (pow (log (/ 1 (exp -1))) 3) (pow (log N) 3))) (* 1/6 (* (log (/ 1 (exp -1))) (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (log N))) (* 2 (/ 1 (pow (log N) 3))))))))) (pow (/ 1 (exp -1)) (log (* -1 (log N)))))) (* (+ (* 1/2 (* (log (/ 1 (exp -1))) (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (* 1/2 (/ (pow (log (/ 1 (exp -1))) 2) (pow (log N) 2)))) (pow (/ 1 (exp -1)) (log (* -1 (log N))))))))) (pow (/ 1 (exp -1)) (log (* -1 (log N)))))
(pow (/ 1 (exp -1)) (log (/ 1 N)))
(+ (* -1/2 (/ (* (log (/ 1 (exp -1))) (pow (/ 1 (exp -1)) (log (/ 1 N)))) N)) (pow (/ 1 (exp -1)) (log (/ 1 N))))
(+ (* -1/2 (/ (* (log (/ 1 (exp -1))) (pow (/ 1 (exp -1)) (log (/ 1 N)))) N)) (+ (/ (* (+ (* 1/8 (pow (log (/ 1 (exp -1))) 2)) (* 5/24 (log (/ 1 (exp -1))))) (pow (/ 1 (exp -1)) (log (/ 1 N)))) (pow N 2)) (pow (/ 1 (exp -1)) (log (/ 1 N)))))
(+ (* -1/2 (/ (* (log (/ 1 (exp -1))) (pow (/ 1 (exp -1)) (log (/ 1 N)))) N)) (+ (/ (* (+ (* -1/8 (log (/ 1 (exp -1)))) (+ (* -5/48 (pow (log (/ 1 (exp -1))) 2)) (* -1/48 (pow (log (/ 1 (exp -1))) 3)))) (pow (/ 1 (exp -1)) (log (/ 1 N)))) (pow N 3)) (+ (/ (* (+ (* 1/8 (pow (log (/ 1 (exp -1))) 2)) (* 5/24 (log (/ 1 (exp -1))))) (pow (/ 1 (exp -1)) (log (/ 1 N)))) (pow N 2)) (pow (/ 1 (exp -1)) (log (/ 1 N))))))
(exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N)))))
(+ (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N))))) (* -1/2 (/ (* (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N))))) (log (/ 1 (exp -1)))) N)))
(+ (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N))))) (* -1 (/ (+ (* -1 (/ (* (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N))))) (+ (* 1/8 (pow (log (/ 1 (exp -1))) 2)) (* 5/24 (log (/ 1 (exp -1)))))) N)) (* 1/2 (* (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N))))) (log (/ 1 (exp -1)))))) N)))
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(/ -1/24 N)
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(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ 1/12 N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
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(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/ -1/24 N)
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(/ (- (* 1/12 N) 1/24) N)
1/12
(- 1/12 (* 1/24 (/ 1 N)))
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(- 1/12 (* 1/24 (/ 1 N)))
1/12
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
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(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))
(/ 1/4 (pow N 2))
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(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))
(/ 1/4 (pow N 2))
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(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))
(/ -1/64 (pow N 9))
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(/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/ -1/8 (pow N 3))
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(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 17/48 (* 31/108 (/ 1 N))) N))) N))) (pow N 3)))
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(* -1 (log N))
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(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(log (* -1 (log N)))
(+ (log (* -1 (log N))) (* -1 (/ N (log N))))
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(+ (log (* -1 (log N))) (* N (- (* N (+ (* 1/6 (* N (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (log N))) (* 2 (/ 1 (pow (log N) 3))))))) (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N)))))
(log (/ 1 N))
(- (log (/ 1 N)) (* 1/2 (/ 1 N)))
(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3)))))
(+ (log -1) (log (/ -1 N)))
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(+ (log -1) (+ (log (/ -1 N)) (* -1 (/ (+ 1/2 (* -1 (/ (- 5/24 (* 1/8 (/ 1 N))) N))) N))))
(/ 1 N)
(/ (+ 1 N) N)
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1
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
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(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -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))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -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)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))

Outputs
(* 24 (pow N 2))
(.f64 #s(literal 24 binary64) (.f64 N N))
(* (pow N 2) (+ 24 (* 48 N)))
(.f64 (.f64 N N) (+.f64 #s(literal 24 binary64) (*.f64 N #s(literal 48 binary64))))
(* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))
(.f64 (.f64 N N) (+.f64 #s(literal 24 binary64) (.f64 N (+.f64 #s(literal 48 binary64) (.f64 N #s(literal -192 binary64))))))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
(.f64 (.f64 N N) (+.f64 #s(literal 24 binary64) (.f64 N (+.f64 #s(literal 48 binary64) (.f64 N (+.f64 (*.f64 N #s(literal -1536 binary64)) #s(literal -192 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)
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(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
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N
(* N (+ 1 (* 1/2 (/ 1 N))))
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(log (* -1 (log N)))
(log.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)))
(+ (log (* -1 (log N))) (* -1 (/ N (log N))))
(-.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) N))) (/.f64 N (log.f64 N)))
(+ (log (* -1 (log N))) (* N (- (* 1/2 (* N (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))
(+.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) N))) (.f64 N (+.f64 (.f64 (*.f64 N #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 N)))))
(+ (log (* -1 (log N))) (* N (- (* N (+ (* 1/6 (* N (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (log N))) (* 2 (/ 1 (pow (log N) 3))))))) (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N)))))
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(log (/ 1 N))
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(- (log (/ 1 N)) (* 1/2 (/ 1 N)))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1/2 binary64) N))
(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (* 1/2 (/ 1 N)))
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(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3)))))
(-.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (.f64 N N)) (log.f64 N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/8 binary64) (.f64 N (*.f64 N N)))))
(+ (log -1) (log (/ -1 N)))
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(- (+ (log -1) (log (/ -1 N))) (* 1/2 (/ 1 N)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal -1/2 binary64) N)))
(+ (log -1) (+ (log (/ -1 N)) (* -1 (/ (- 1/2 (* 5/24 (/ 1 N))) N))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/24 binary64) N)) N))
(+ (log -1) (+ (log (/ -1 N)) (* -1 (/ (+ 1/2 (* -1 (/ (- 5/24 (* 1/8 (/ 1 N))) N))) N))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/8 binary64) N)) N)) N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
(/ (+ 1 N) N)
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(/ (+ 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 (log N))
(log.f64 (/.f64 #s(literal 1 binary64) N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N #s(literal -1/2 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)
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(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(/ 1 N)
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(/.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 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 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 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 N N)))) N)
(/ -1 N)
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(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N))
(pow N 3)
(.f64 N (.f64 N N))
(* (pow N 3) (+ 1 (* -3/2 N)))
(.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N #s(literal -3/2 binary64))))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (*.f64 N #s(literal 7/4 binary64)) #s(literal -3/2 binary64)))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 (.f64 N (+.f64 #s(literal 7/4 binary64) (.f64 N #s(literal -15/8 binary64)))) #s(literal -3/2 binary64)))))
(* -1 (pow (log (/ 1 N)) 3))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))
(+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))
(-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))
(+.f64 (-.f64 (/.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2 binary64))) (.f64 N N)) (neg.f64 (.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N N))))) (-.f64 (+.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 N N)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))
(+.f64 (-.f64 (/.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2 binary64))) (.f64 N N)) (neg.f64 (.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N N))))) (-.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N))) (+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N (.f64 N N)))) (/.f64 (neg.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 N (.f64 N N)))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (.f64 (log.f64 N) (/.f64 (+.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2/3 binary64))) #s(literal -1 binary64)) (.f64 N (*.f64 N N)))))))
(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))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) N))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -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))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(-.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 (.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) N)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) N))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -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)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(-.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 (.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.f64 (+.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) N)) N)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) N))

eval214.0ms (1.9%)

Compiler: Compiled 57478 to 5153 computations (91% saved)

prune335.0ms (3%)

Pruning

49 alts after pruning (42 fresh and 7 done)

	Pruned	Kept	Total
New	1199	16	1215
Fresh	6	26	32
Picked	4	1	5
Done	0	6	6
Total	1209	49	1258

Accuracy

99.9%

Counts

1258 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.1%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
✓	21.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
	25.8%	(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	25.8%	(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	23.2%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
	26.3%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
	25.8%	(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	93.4%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 N (*.f64 N N)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))) N))) N)
	93.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 13/36 binary64) (/.f64 #s(literal -1/6 binary64) N)) N)) N)) (.f64 N N)))))) N)
	96.2%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N))) N)
	97.2%	(/.f64 (/.f64 #s(literal 1 binary64) (+.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)
	93.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
	23.1%	(/.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))))
	23.1%	(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
	20.9%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (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)))))
	21.1%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
	95.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
✓	93.2%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
	20.9%	(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
	20.9%	(/.f64 (+.f64 (.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (+.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)))))))
	20.9%	(/.f64 (+.f64 (.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (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 #s(literal 1 binary64) N) N)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.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)))))
	20.3%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -3 binary64))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	20.9%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.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))))) #s(literal 1 binary64))) (.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 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	92.9%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	97.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
	84.9%	(/.f64 N (*.f64 N N))
	97.2%	(/.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)))
	97.3%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) 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 (+.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))))
	95.9%	(/.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))))
	97.4%	(/.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 #s(literal 0 binary64) N)) N))
	97.2%	(/.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)))
	97.2%	(/.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 (/.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 #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)))
	97.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) 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 #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 #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 0 binary64) N)))
	97.2%	(/.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 #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)))
	96.2%	(/.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)))))
	93.8%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
✓	85.1%	(/.f64 #s(literal 1 binary64) N)
	97.3%	(/.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))))
✓	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.3%	(+.f64 (log1p.f64 N) (log.f64 (/.f64 #s(literal 1 binary64) N)))
	21.8%	(.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) 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 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))
	97.2%	(*.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 -1 binary64) N))
	26.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	25.8%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	25.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))) #s(literal -1 binary64)))
	23.1%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1 binary64)))
	23.2%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
	92.6%	(exp.f64 (.f64 (log.f64 (.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))))) #s(literal -1 binary64)))
	25.8%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))

Compiler

Compiled 3994 to 1131 computations (71.7% saved)

regimes101.0ms (0.9%)

Counts

81 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 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 binary64) (/.f64 #s(literal 1/2 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 (-.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 #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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (/.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 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) N)) N)
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) #s(literal -1/2 binary64)) N))) 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 -1 binary64) N))
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(/.f64 (-.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))) #s(literal -1 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (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)))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
(.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) 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 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (+.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 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (pow.f64 (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 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.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))))) #s(literal 1 binary64))) (.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 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -3 binary64))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))

Outputs

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

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

Calls

2 calls:

73.0ms	N
19.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.7%	2	`N`
99.7%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes18.0ms (0.2%)

Counts

38 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 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 binary64) (/.f64 #s(literal 1/2 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 (-.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 #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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (/.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 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) N)) N)
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) #s(literal -1/2 binary64)) N))) 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 -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) (-.f64 #s(literal 0 binary64) N)) N))
(/.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.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)
(/.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 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))) N)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))) N)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.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 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 13/36 binary64) (/.f64 #s(literal -1/6 binary64) N)) N)) N)) (.f64 N N)))))) N)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 N (*.f64 N N)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))) N))) N)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))) N)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))) N)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -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 (/.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 #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) (.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 #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)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) 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 #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 #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 0 binary64) N)))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))

Outputs

(log.f64 (/.f64 (+.f64 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) (-.f64 #s(literal 0 binary64) N)) N))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts

37 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 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 binary64) (/.f64 #s(literal 1/2 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 (-.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 #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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (/.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 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 (.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) N)) N)
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) #s(literal -1/2 binary64)) N))) 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 -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) (-.f64 #s(literal 0 binary64) N)) N))
(/.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.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)
(/.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 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))) N)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))) N)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.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 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 13/36 binary64) (/.f64 #s(literal -1/6 binary64) N)) N)) N)) (.f64 N N)))))) N)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 N (*.f64 N N)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))) N))) N)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))) N)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))))) N)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -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 (/.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 #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) (.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 #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)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) 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 #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 #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 0 binary64) N)))

Outputs

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
97.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

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

Outputs
(/.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))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 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 binary64) (/.f64 #s(literal 1/2 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 (-.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 #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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #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
96.2%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.2%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

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:

4.0ms

Results

Accuracy	Segments	Branch
95.8%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
93.8%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
93.2%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.2b remaining (-1.7%)

Threshold costs -0.2b (-1.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
85.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005694712416017822	0.0011399917677579197

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	876.6994119440915	1755.5149731407453

Results

4.0ms

80×

valid

Compiler

Compiled 157 to 119 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-log: 2.0ms (75% of total)

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

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

const: 0.0ms (0% of total)

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

476×	`distribute-lft-neg-in_binary64`
282×	`neg-mul-1_binary64`
278×	`distribute-neg-in_binary64`
266×	`neg-sub0_binary64`
226×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	184
1	110	184
2	145	181
3	182	181
4	231	181
5	284	181
6	397	181
7	622	181
8	970	181
9	1415	181
10	1628	181
11	1692	181
12	1695	181

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 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) (-.f64 #s(literal 0 binary64) N)) N)) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 1020 binary64)) (log.f64 (/.f64 (+.f64 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) (-.f64 #s(literal 0 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 #s(literal 0 binary64) N)) N))
(/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/.f64 #s(literal 1 binary64) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) 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)

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 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) (-.f64 #s(literal 0 binary64) N)) N)) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N)) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 1020 binary64)) (log.f64 (/.f64 (+.f64 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) (-.f64 #s(literal 0 binary64) N)) N)))
(if (<=.f64 N #s(literal 1020 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N))
(/.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64)) N)
(/.f64 #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 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N))) N)
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N))) N)
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))))
(/.f64 #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 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N) #s(literal 1 binary64)) 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 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(/.f64 #s(literal 1 binary64) N)

soundness1.9s (17%)

Rules

4588×	`-lowering-.f32`
4588×	`-lowering-.f64`
4504×	`-lowering-.f32`
4504×	`-lowering-.f64`
4118×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	580
1	280	500
2	737	490
3	2060	486
4	6700	484
0	8333	484
0	9	19
1	65	19
2	393	19
3	3845	19
0	8319	19
0	983	7594
1	3438	7041
0	8433	7041
0	68	386
1	442	361
2	4266	359
0	8182	359
0	35	157
1	208	155
2	1812	143
0	8354	143

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

Compiler

Compiled 400 to 234 computations (41.5% saved)

preprocess80.0ms (0.7%)

Compiler: Compiled 392 to 170 computations (56.6% saved)

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

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

analyze0.0ms (0%)

sample1.7s (15.6%)

preprocess38.0ms (0.3%)

explain123.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize267.0ms (2.4%)

series77.0ms (0.7%)

rewrite309.0ms (2.8%)

simplify212.0ms (1.9%)

eval107.0ms (1%)

prune72.0ms (0.7%)

simplify158.0ms (1.4%)

localize582.0ms (5.2%)

series29.0ms (0.3%)

rewrite390.0ms (3.5%)

simplify323.0ms (2.9%)

eval200.0ms (1.8%)

prune224.0ms (2%)

simplify251.0ms (2.3%)

localize461.0ms (4.1%)

series42.0ms (0.4%)

rewrite379.0ms (3.4%)

simplify385.0ms (3.5%)

eval272.0ms (2.4%)

prune222.0ms (2%)

simplify167.0ms (1.5%)

localize577.0ms (5.2%)

series27.0ms (0.2%)

rewrite366.0ms (3.3%)

simplify370.0ms (3.3%)

eval214.0ms (1.9%)

prune335.0ms (3%)

regimes101.0ms (0.9%)

regimes18.0ms (0.2%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

simplify49.0ms (0.4%)

soundness1.9s (17%)

preprocess80.0ms (0.7%)

end0.0ms (0%)

Profiling

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