Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

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

sample1.6s (14.9%)

Results

1.2s	7116×	1	valid
84.0ms	1140×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 966.0ms

ival-log: 485.0ms (50.2% of total)

backward-pass: 113.0ms (11.7% of total)

ival-sub: 111.0ms (11.5% of total)

ival-add: 104.0ms (10.8% of total)

ival->: 84.0ms (8.7% of total)

ival-<: 31.0ms (3.2% of total)

ival-and: 20.0ms (2.1% of total)

const: 17.0ms (1.8% of total)

Bogosity

preprocess42.0ms (0.4%)

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)))

explain126.0ms (1.2%)

FPErrors

Click to see full error table

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

Results

76.0ms	450×	1	valid
5.0ms	62×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

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

ival-log: 30.0ms (58.9% of total)

backward-pass: 9.0ms (17.7% of total)

ival-add: 6.0ms (11.8% of total)

ival-sub: 5.0ms (9.8% of total)

const: 1.0ms (2% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.6%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	21.6%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify42.0ms (0.4%)

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)

localize252.0ms (2.3%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	99.0%	(-.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	99.0%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

221.0ms	229×	5	exit
3.0ms	27×	0	valid

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-log: 115.0ms (62.6% of total)

backward-pass: 29.0ms (15.8% of total)

compiled-spec: 18.0ms (9.8% of total)

ival-sub: 12.0ms (6.5% of total)

ival-add: 9.0ms (4.9% of total)

const: 1.0ms (0.5% of total)

series62.0ms (0.6%)

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
34.0ms	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))

rewrite333.0ms (3.1%)

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)))

simplify203.0ms (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))

eval98.0ms (0.9%)

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

prune96.0ms (0.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	629	19	648
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	631	19	650

Accuracy

99.6%

Counts

650 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.3%	(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)))))))
	23.7%	(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)))))))))
	19.7%	(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)))))))
	21.5%	(/.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)))))
	21.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	21.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	94.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
▶	95.6%	(/.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)
	93.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
▶	86.2%	(/.f64 #s(literal 1 binary64) N)
	21.3%	(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	21.4%	(.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
	24.6%	(.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
▶	21.4%	(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))))
▶	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
	24.2%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
▶	24.6%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	24.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	24.1%	(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 1094 to 476 computations (56.5% saved)

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	cost-diff	64	(+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
✓	cost-diff	64	(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	cost-diff	128	(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))))
✓	cost-diff	0	(log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	13504	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	cost-diff	13568	(/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	-64	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 N (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)

Rules

2078×	`sum3-define`
2044×	`sum5-define`
1410×	`-lowering-.f32`
1410×	`-lowering-.f64`
1336×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	271
1	79	256
2	148	255
3	338	255
4	832	255
5	2448	255
6	6279	255
0	8293	255

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize731.0ms (6.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	99.9%	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	accuracy	99.9%	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	accuracy	99.2%	(+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
✓	accuracy	100.0%	(log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.9%	(.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.4%	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	100.0%	(/.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	99.4%	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 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 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
✓	accuracy	99.9%	(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))

Results

626.0ms	229×	5	exit
11.0ms	27×	0	valid

Compiler

Compiled 302 to 36 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 441.0ms

ival-log: 126.0ms (28.6% of total)

backward-pass: 110.0ms (24.9% of total)

ival-pow: 52.0ms (11.8% of total)

ival-div: 46.0ms (10.4% of total)

ival-add: 46.0ms (10.4% of total)

compiled-spec: 17.0ms (3.9% of total)

ival-neg: 16.0ms (3.6% of total)

ival-mult: 16.0ms (3.6% of total)

...c/correct-round.rkt:119:19: 9.0ms (2% of total)

const: 3.0ms (0.7% of total)

series61.0ms (0.6%)

Counts

21 → 252

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

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

63 calls:

Time	Variable		Point	Expression
16.0ms	N	@	-inf	(neg (/ (+ (neg (pow (log (+ 1 N)) 3)) (pow (log N) 3)) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))
11.0ms	N	@	inf	(neg (/ (+ (neg (pow (log (+ 1 N)) 3)) (pow (log N) 3)) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))
4.0ms	N	@	-inf	(/ (+ (neg (pow (log (+ 1 N)) 3)) (pow (log N) 3)) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))
3.0ms	N	@	inf	(/ (+ (neg (pow (log (+ 1 N)) 3)) (pow (log N) 3)) (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))
1.0ms	N	@	inf	(+ (neg (pow (log (+ 1 N)) 3)) (pow (log N) 3))

rewrite299.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3574×	`-lowering-.f32`
3574×	`-lowering-.f64`
2758×	`/-lowering-/.f32`
2758×	`/-lowering-/.f64`
1888×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	203
1	224	198
2	1929	196
0	8195	196

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 449

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

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

simplify483.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

4256×	`-lowering-.f32`
4256×	`-lowering-.f64`
3832×	`+-lowering-+.f64`
3832×	`+-lowering-+.f32`
1938×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	933	12212
1	3491	11007
0	8915	11007

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

eval201.0ms (1.9%)

Compiler: Compiled 33054 to 3513 computations (89.4% saved)

prune151.0ms (1.4%)

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	951	31	982
Fresh	6	8	14
Picked	1	4	5
Done	0	0	0
Total	958	43	1001

Accuracy

99.7%

Counts

1001 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.3%	(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)))))))
	23.7%	(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)))))))))
	19.7%	(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)))))))
	86.1%	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
	95.5%	(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))) N)
	95.5%	(/.f64 (/.f64 (-.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 #s(literal 1 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) (/.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 -1/2 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)))) N)
	95.5%	(/.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
	95.6%	(/.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)
	21.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	95.5%	(/.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))))
	94.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
▶	93.0%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
	94.6%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N)
	95.1%	(/.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)))
✓	95.6%	(/.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)
	95.6%	(/.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)
▶	95.5%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
	95.5%	(/.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) 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))))))
▶	95.6%	(/.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))))
✓	86.2%	(/.f64 #s(literal 1 binary64) N)
	21.3%	(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	95.5%	(*.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)))
	21.4%	(.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))))
	24.6%	(.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	95.4%	(neg.f64 (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 (/.f64 (log.f64 N) N) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 N (.f64 N N))) (.f64 (log.f64 N) (/.f64 (+.f64 #s(literal 11/12 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N)))) (.f64 N (.f64 N N))))) (+.f64 (+.f64 (.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N)) (/.f64 (.f64 (log.f64 N) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (.f64 N N))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 N (.f64 N N))) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N)) (+.f64 (.f64 (/.f64 #s(literal -1/4 binary64) N) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N))) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N))) (+.f64 (+.f64 (/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 N))) (.f64 N N)) (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))))) 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))))))))
	95.3%	(neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 N) N) (-.f64 (+.f64 (+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) N)) (/.f64 (.f64 #s(literal 2/3 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 N N))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 N))))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (.f64 N (.f64 N N)))))) N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
	21.4%	(neg.f64 (/.f64 (-.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 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))))
	20.1%	(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (/.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))))))))
	24.6%	(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
	21.0%	(neg.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
	24.6%	(neg.f64 (/.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
	95.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 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))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
	19.3%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
▶	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N N)) (-.f64 (.f64 N N) (.f64 N (*.f64 N N))))))))
	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))))
	24.5%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (+.f64 N #s(literal -1 binary64)))))))
	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (log1p.f64 N) (log.f64 N))))
✓	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
	24.2%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
✓	24.6%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	24.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
▶	24.1%	(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 2774 to 1361 computations (50.9% saved)

simplify205.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N N)) (-.f64 (.f64 N N) (.f64 N (.f64 N N)))))
✓	cost-diff	640	(-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N N)) (-.f64 (.f64 N N) (.f64 N (*.f64 N N))))))
✓	cost-diff	640	(/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N N)) (-.f64 (.f64 N N) (.f64 N (*.f64 N N)))))))
✓	cost-diff	704	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N N)) (-.f64 (.f64 N N) (.f64 N (*.f64 N N))))))))
✓	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 (/.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))))
✓	cost-diff	0	(-.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)))))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) N))
✓	cost-diff	128	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
✓	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

2630×	`-lowering-.f32`
2630×	`-lowering-.f64`
2210×	`fma-lowering-fma.f32`
2210×	`fma-lowering-fma.f64`
1872×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	549
1	120	515
2	301	502
3	890	497
4	2573	495
5	7744	495
0	8302	495

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

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

localize463.0ms (4.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(.f64 (.f64 N (.f64 N N)) (.f64 N (*.f64 N N)))
✓	accuracy	99.2%	(.f64 (.f64 N N) (*.f64 N N))
✓	accuracy	98.7%	(-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N N)) (-.f64 (.f64 N N) (.f64 N (*.f64 N N))))))
✓	accuracy	25.2%	(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	99.7%	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
✓	accuracy	95.2%	(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	24.8%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
✓	accuracy	99.8%	(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
✓	accuracy	99.8%	(/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
✓	accuracy	99.6%	(/.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))))
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) 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

289.0ms	187×	1	valid
53.0ms	67×	0	valid
7.0ms	2×	5	exit

Compiler

Compiled 634 to 49 computations (92.3% saved)

Precisions

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

ival-div: 45.0ms (19% of total)

ival-log: 45.0ms (19% of total)

ival-neg: 44.0ms (18.6% of total)

ival-add: 32.0ms (13.5% of total)

ival-mult: 25.0ms (10.6% of total)

backward-pass: 20.0ms (8.5% of total)

ival-sub: 9.0ms (3.8% of total)

...c/correct-round.rkt:119:19: 9.0ms (3.8% of total)

ival-exp: 6.0ms (2.5% of total)

const: 1.0ms (0.4% of total)

series34.0ms (0.3%)

Counts

25 → 300

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 (/ (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))) (/ 1 N)) (- 1 (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)))>
#<alt (* (- 1 (/ (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N))))) (/ 1 N))>
#<alt (- 1 (/ (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ N (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)))))>
#<alt (/ (/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N) (/ 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 (neg (/ (* (log (* N (+ N 1))) (log (/ N (+ N 1)))) (- (log (+ (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (log (+ (* (* N N) (* N N)) (- (* N N) (* N (* N N))))))))>
#<alt (/ (* (log (* N (+ N 1))) (log (/ N (+ N 1)))) (- (log (+ (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (log (+ (* (* N N) (* N N)) (- (* N N) (* N (* N N)))))))>
#<alt (- (log (+ (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (log (+ (* (* N N) (* N N)) (- (* N N) (* N (* N N))))))>
#<alt (log (+ (* (* N N) (* N N)) (- (* N N) (* N (* N N)))))>
#<alt (/ (+ 1/3 (/ -1/4 N)) N)>
#<alt (+ 1/3 (/ -1/4 N))>
#<alt (log (/ (+ N 1) N))>
#<alt (log (/ N (+ N 1)))>
#<alt (* (* N N) (* N N))>
#<alt (* (* N (* N N)) (* N (* 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 (* -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 (/ -1/16 (pow N 7))>
#<alt (/ (- (* 1/6 N) 1/16) (pow N 7))>
#<alt (/ (- (* N (+ 1/6 (* -13/36 N))) 1/16) (pow N 7))>
#<alt (/ (- (* N (+ 1/6 (* N (- (* 1/3 N) 13/36)))) 1/16) (pow N 7))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/4 (/ 1 (pow N 2)))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 3))) (+ (* 1/4 (/ 1 (pow N 2))) (* 13/36 (/ 1 (pow N 4))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow N 2))) 1) N))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) 1) N))>
#<alt (/ -1/16 (pow N 6))>
#<alt (/ (- (* 1/6 N) 1/16) (pow N 6))>
#<alt (/ (- (* N (+ 1/6 (* -13/36 N))) 1/16) (pow N 6))>
#<alt (/ (- (* N (+ 1/6 (* N (- (* 1/3 N) 13/36)))) 1/16) (pow N 6))>
#<alt 1>
#<alt (- 1 (* 1/4 (/ 1 (pow N 2))))>
#<alt (- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2))))>
#<alt (- (+ 1 (/ 1/3 (pow N 3))) (+ (* 1/4 (/ 1 (pow N 2))) (* 13/36 (/ 1 (pow N 4)))))>
#<alt 1>
#<alt (- 1 (* 1/4 (/ 1 (pow N 2))))>
#<alt (- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2))))>
#<alt (- (+ 1 (* -1 (/ (- (* 13/36 (/ 1 N)) 1/3) (pow N 3)))) (* 1/4 (/ 1 (pow N 2))))>
#<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 (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)))>
#<alt (- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3)))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))>
#<alt (- (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ 1 N)))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- 1/2 (* 5/24 (/ 1 N))) N)))>
#<alt (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1/2 (* -1 (/ (- 5/24 (* 1/8 (/ 1 N))) N))) N)))>
#<alt (log (/ -1 (log N)))>
#<alt (+ (log (/ -1 (log N))) (/ N (log N)))>
#<alt (+ (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 (+ (log (/ -1 (log N))) (* N (+ (* N (+ (* 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)))))))) (* 1/2 (- (* -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 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N))) (/ 5/24 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) (/ 5/24 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* 1/2 (/ 1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 5/24 (/ 1 N)) 1/2) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 5/24) N)) 1/2) N))))>
#<alt (/ -1 (log N))>
#<alt (- (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))>
#<alt (- (* N (- (* N (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (- (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 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))))))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<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 (/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (- (* N (- (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2)) (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N))))))) (/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (- (* N (- (+ (* N (- (+ (* -1 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1/2 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (/ 1 (- (* 3 (log N)) (* 2 (log N)))) (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))))) (+ (* -1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 3)))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N))))))) (/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (- (* N (- (+ (* N (- (+ (* -1 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1/2 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* N (- (+ (* -1/2 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1/2 (/ (- (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/3 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* 1/2 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 4)))))) (+ (* -1 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 3))) (+ (* -1/2 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 3))) (+ (* -1/3 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/3 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (/ 1 (- (* 3 (log N)) (* 2 (log N)))) (+ (/ 1 (pow (- (* 3 (log N)) (* 2 (log N))) 2)) (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 3)))))))))) (+ (/ 1 (- (* 3 (log N)) (* 2 (log N)))) (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2)))))) (+ (* -1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 3)))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N))))))) (/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N)))))>
#<alt (* -2 (/ (log (/ 1 N)) (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))))>
#<alt (/ (- (+ (* 2 (/ (log (/ 1 N)) (* N (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (/ 1 (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* -1 (/ (log (/ 1 N)) (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (* 2 (/ (log (/ 1 N)) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))))) N)>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 N)) (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (+ (* 2 (/ (log (/ 1 N)) (* N (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (/ 1 (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))))) (+ (* -1 (/ (log (/ 1 N)) (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 2/3 (/ (log (/ 1 N)) (* (pow N 2) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 3)))) (+ (* 2 (/ (log (/ 1 N)) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (+ (/ 1 (* (pow N 2) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (/ 1 (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2))))))))) N)>
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#<alt (log N)>
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#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (pow N 4)>
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#<alt (pow N 6)>
#<alt (pow N 6)>
#<alt (pow N 6)>
#<alt (pow N 6)>
#<alt (pow N 6)>

Calls

75 calls:

Time	Variable		Point	Expression
8.0ms	N	@	inf	(neg (/ (* (log (* N (+ N 1))) (log (/ N (+ N 1)))) (- (log (+ (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (log (+ (* (* N N) (* N N)) (- (* N N) (* N (* N N))))))))
3.0ms	N	@	0	(log (/ 1 (log (/ (+ N 1) N))))
2.0ms	N	@	0	(neg (/ (* (log (* N (+ N 1))) (log (/ N (+ N 1)))) (- (log (+ (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (log (+ (* (* N N) (* N N)) (- (* N N) (* N (* N N))))))))
2.0ms	N	@	-inf	(neg (/ (* (log (* N (+ N 1))) (log (/ N (+ N 1)))) (- (log (+ (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (log (+ (* (* N N) (* N N)) (- (* N N) (* N (* N N))))))))
1.0ms	N	@	inf	(/ (* (log (* N (+ N 1))) (log (/ N (+ N 1)))) (- (log (+ (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (log (+ (* (* N N) (* N N)) (- (* N N) (* N (* N N)))))))

rewrite325.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2688×	`-lowering-.f32`
2688×	`-lowering-.f64`
2236×	`fma-lowering-fma.f32`
2236×	`fma-lowering-fma.f64`
2186×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	343
1	332	233
2	3127	231
0	8433	231

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 766

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

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

simplify322.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4180×	`+-lowering-+.f64`
4180×	`+-lowering-+.f32`
3344×	`-lowering-.f32`
3344×	`-lowering-.f64`
1974×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	700	5405
1	2390	4760
0	8427	4760

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -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))
(/ (- (* 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))
(/ -1/16 (pow N 7))
(/ (- (* 1/6 N) 1/16) (pow N 7))
(/ (- (* N (+ 1/6 (* -13/36 N))) 1/16) (pow N 7))
(/ (- (* N (+ 1/6 (* N (- (* 1/3 N) 13/36)))) 1/16) (pow N 7))
(/ 1 N)
(/ (- 1 (* 1/4 (/ 1 (pow N 2)))) N)
(/ (- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) N)
(/ (- (+ 1 (/ 1/3 (pow N 3))) (+ (* 1/4 (/ 1 (pow N 2))) (* 13/36 (/ 1 (pow N 4))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/4 (/ 1 (pow N 2))) 1) N))
(* -1 (/ (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))) N))
(* -1 (/ (- (+ (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) 1) N))
(/ -1/16 (pow N 6))
(/ (- (* 1/6 N) 1/16) (pow N 6))
(/ (- (* N (+ 1/6 (* -13/36 N))) 1/16) (pow N 6))
(/ (- (* N (+ 1/6 (* N (- (* 1/3 N) 13/36)))) 1/16) (pow N 6))
1
(- 1 (* 1/4 (/ 1 (pow N 2))))
(- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2))))
(- (+ 1 (/ 1/3 (pow N 3))) (+ (* 1/4 (/ 1 (pow N 2))) (* 13/36 (/ 1 (pow N 4)))))
1
(- 1 (* 1/4 (/ 1 (pow N 2))))
(- (+ 1 (/ 1/3 (pow N 3))) (* 1/4 (/ 1 (pow N 2))))
(- (+ 1 (* -1 (/ (- (* 13/36 (/ 1 N)) 1/3) (pow N 3)))) (* 1/4 (/ 1 (pow N 2))))
(/ 1/16 (pow N 6))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/ (+ 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))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 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))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/ (+ 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 (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)))))
(+ (* -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)))))
(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)))))
(* -1 (+ (log -1) (* -1 (log (/ -1 N)))))
(- (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ 1 N)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- 1/2 (* 5/24 (/ 1 N))) N)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1/2 (* -1 (/ (- 5/24 (* 1/8 (/ 1 N))) N))) N)))
(log (/ -1 (log N)))
(+ (log (/ -1 (log N))) (/ N (log N)))
(+ (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)))))
(+ (log (/ -1 (log N))) (* N (+ (* N (+ (* 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)))))))) (* 1/2 (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))))) (/ 1 (log N)))))
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N)))
(- (+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N))) (/ 5/24 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) (/ 5/24 (pow N 2)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* 1/2 (/ 1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 5/24 (/ 1 N)) 1/2) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 5/24) N)) 1/2) N))))
(/ -1 (log N))
(- (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))
(- (* N (- (* N (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(- (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 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))))))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
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 (/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N)))))
(- (* N (- (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2)) (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N))))))) (/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N)))))
(- (* N (- (+ (* N (- (+ (* -1 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1/2 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (/ 1 (- (* 3 (log N)) (* 2 (log N)))) (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))))) (+ (* -1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 3)))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N))))))) (/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N)))))
(- (* N (- (+ (* N (- (+ (* -1 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1/2 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* N (- (+ (* -1/2 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1/2 (/ (- (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/3 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* 1/2 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 4)))))) (+ (* -1 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 3))) (+ (* -1/2 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 3))) (+ (* -1/3 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/3 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (/ 1 (- (* 3 (log N)) (* 2 (log N)))) (+ (/ 1 (pow (- (* 3 (log N)) (* 2 (log N))) 2)) (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 3)))))))))) (+ (/ 1 (- (* 3 (log N)) (* 2 (log N)))) (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2)))))) (+ (* -1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 3)))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N))))))) (/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N)))))
(* -2 (/ (log (/ 1 N)) (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))))
(/ (- (+ (* 2 (/ (log (/ 1 N)) (* N (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (/ 1 (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* -1 (/ (log (/ 1 N)) (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (* 2 (/ (log (/ 1 N)) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (+ (* 2 (/ (log (/ 1 N)) (* N (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (/ 1 (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))))) (+ (* -1 (/ (log (/ 1 N)) (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 2/3 (/ (log (/ 1 N)) (* (pow N 2) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 3)))) (+ (* 2 (/ (log (/ 1 N)) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (+ (/ 1 (* (pow N 2) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (/ 1 (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2))))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (+ (* -1/2 (/ (- (* -1 (/ (log (/ 1 N)) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2))) (/ 1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (* (pow N 3) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 4/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (+ (* 2 (/ (log (/ 1 N)) (* N (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 3) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 4)))) (+ (/ 11/12 (* (pow N 3) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (+ (/ 1 (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (+ (/ 1 (* (pow N 3) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2))) (/ 1 (* (pow N 3) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 3))))))))))) (+ (* -2 (/ (log (/ 1 N)) (* (pow N 3) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 3)))) (+ (* -1 (/ (log (/ 1 N)) (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* -1/2 (/ (log (/ 1 N)) (* (pow N 3) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 2/3 (/ (log (/ 1 N)) (* (pow N 2) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 3)))) (+ (* 2 (/ (log (/ 1 N)) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (+ (/ 1 (* (pow N 2) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (/ 1 (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2))))))))))) N)
(* -2 (/ (log (/ -1 N)) (* N (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))))
(* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N)) (* -2 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2)))) (* -2/3 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N)) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N)) (* -2 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -2/3 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))))) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* -1/2 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* 2/3 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (* 11/12 (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))))) (* -1/2 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N)) (+ (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))))) (* -2/3 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N)) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N)) (* -2 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N))
(/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N))))
(+ (* N (- (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2)))) (/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N)))))
(+ (* N (- (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* N (- (+ (* -1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 3)))) (+ (* -1 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1/2 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (/ 1 (- (* 3 (log N)) (* 2 (log N)))) (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N)))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2)))) (/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N)))))
(+ (* N (- (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* N (- (+ (* -1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/2 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* N (- (+ (* -1 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 3))) (+ (* -1/2 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 3))) (+ (* -1/3 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/3 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (+ (/ 1 (- (* 3 (log N)) (* 2 (log N)))) (+ (/ 1 (pow (- (* 3 (log N)) (* 2 (log N))) 2)) (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 3)))))))) (+ (* -1/2 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1/2 (/ (- (+ (* -1 (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (- (* 3 (log N)) (* 2 (log N))))) (+ (* 1/3 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* 1/2 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 4)))))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 3))))) (+ (* -1 (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (* -1/2 (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2))) (+ (/ 1 (- (* 3 (log N)) (* 2 (log N)))) (/ (log N) (pow (- (* 3 (log N)) (* 2 (log N))) 2))))))) (/ (log N) (- (* 3 (log N)) (* 2 (log N)))))) (/ (pow (log N) 2) (pow (- (* 3 (log N)) (* 2 (log N))) 2)))) (/ (pow (log N) 2) (- (* 3 (log N)) (* 2 (log N)))))
(* 2 (/ (log (/ 1 N)) (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))))
(/ (- (+ (* -1 (/ (log (/ 1 N)) (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (* 2 (/ (log (/ 1 N)) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 2 (/ (log (/ 1 N)) (* N (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (/ 1 (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))))) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 2/3 (/ (log (/ 1 N)) (* (pow N 2) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 3)))) (+ (* 2 (/ (log (/ 1 N)) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (+ (/ 1 (* (pow N 2) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (/ 1 (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))))))) (+ (* -2 (/ (log (/ 1 N)) (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (+ (* 2 (/ (log (/ 1 N)) (* N (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (/ 1 (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) (* (pow N 3) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 3)))) (+ (* -1 (/ (log (/ 1 N)) (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* -1/2 (/ (log (/ 1 N)) (* (pow N 3) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 2/3 (/ (log (/ 1 N)) (* (pow N 2) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 3)))) (+ (* 2 (/ (log (/ 1 N)) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (+ (/ 1 (* (pow N 2) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (/ 1 (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))))))))) (+ (* -2 (/ (log (/ 1 N)) (* (pow N 2) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (+ (* -1/2 (/ (- (* -1 (/ (log (/ 1 N)) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2))) (/ 1 (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (* (pow N 3) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))))) (+ (* 4/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (+ (* 2 (/ (log (/ 1 N)) (* N (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2)))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 3) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 4)))) (+ (/ 11/12 (* (pow N 3) (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (+ (/ 1 (* N (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))))) (+ (/ 1 (* (pow N 3) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 2))) (/ 1 (* (pow N 3) (pow (- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N)))) 3)))))))))))) N)
(* 2 (/ (log (/ -1 N)) (* N (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))))
(* -1 (/ (+ (* -2 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N))) N))
(* -1 (/ (+ (* -2 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (* -1 (/ (- (+ (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (* -1 (/ (- (* -2/3 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))))) N))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N))) N))
(* -1 (/ (+ (* -2 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (* -1 (/ (- (+ (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* -1 (/ (- (* -2/3 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))))) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* -1/2 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* 2/3 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (* 11/12 (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))))))) N)) (* -2/3 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))))) (+ (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))) (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))))) N))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N)))) 2))) (/ 1 (- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))))) N))) N))
(- (* 3 (log N)) (* 2 (log N)))
(- (+ N (* 3 (log N))) (* 2 (log N)))
(- (+ (* 3 (log N)) (* N (+ 1 (* -1/2 N)))) (* 2 (log N)))
(- (+ (* 3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* 2 (log N)))
(- (* -6 (log (/ 1 N))) (* -4 (log (/ 1 N))))
(- (+ (* -6 (log (/ 1 N))) (/ 1 N)) (* -4 (log (/ 1 N))))
(- (+ (* -6 (log (/ 1 N))) (/ 1 N)) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(- (+ (* -6 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(- (* -6 (log (/ -1 N))) (* -4 (log (/ -1 N))))
(- (+ (* -6 (log (/ -1 N))) (/ 1 N)) (* -4 (log (/ -1 N))))
(- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))) (* -4 (log (/ -1 N))))
(- (+ (* -6 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))) (* -4 (log (/ -1 N))))
(* 2 (log N))
(+ (* -1 N) (* 2 (log N)))
(+ (* 2 (log N)) (* N (- (* 1/2 N) 1)))
(+ (* 2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1)))
(* -4 (log (/ 1 N)))
(- (* -4 (log (/ 1 N))) (/ 1 N))
(- (+ (* -4 (log (/ 1 N))) (/ 1/2 (pow N 2))) (/ 1 N))
(- (+ (* -4 (log (/ 1 N))) (+ (/ 1/2 (pow N 2)) (* 2/3 (/ 1 (pow N 3))))) (/ 1 N))
(* -4 (log (/ -1 N)))
(- (* -4 (log (/ -1 N))) (/ 1 N))
(+ (* -4 (log (/ -1 N))) (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N)))
(+ (* -4 (log (/ -1 N))) (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N)))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ 1/3 N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/ 1/3 N)
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ (- (* 1/3 N) 1/4) N)
(/ (- (* 1/3 N) 1/4) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(- 1/3 (* 1/4 (/ 1 N)))
(- 1/3 (* 1/4 (/ 1 N)))
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(- 1/3 (* 1/4 (/ 1 N)))
(- 1/3 (* 1/4 (/ 1 N)))
(* -1 (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))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 4)
(pow N 6)
(pow N 6)
(pow N 6)
(pow N 6)
(pow N 6)
(pow N 6)
(pow N 6)
(pow N 6)
(pow N 6)
(pow N 6)
(pow N 6)
(pow N 6)

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)
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(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))

eval199.0ms (1.9%)

Compiler: Compiled 53627 to 4462 computations (91.7% saved)

prune167.0ms (1.6%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	1364	18	1382
Fresh	17	17	34
Picked	3	2	5
Done	0	4	4
Total	1384	41	1425

Accuracy

99.7%

Counts

1425 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.1%	(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))))
	86.1%	(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
	95.5%	(/.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
	95.4%	(/.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))))
	21.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	94.6%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
✓	93.0%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
	95.1%	(/.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)))
✓	95.6%	(/.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)
▶	95.5%	(/.f64 #s(literal 1 binary64) (/.f64 N (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))))
✓	95.6%	(/.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))))
	93.0%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
	95.6%	(/.f64 #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)))
▶	96.0%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
	95.0%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
▶	93.4%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
✓	86.2%	(/.f64 #s(literal 1 binary64) N)
	21.3%	(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	24.1%	(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	95.5%	(*.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)))
	21.4%	(.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))))
	24.6%	(.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	24.6%	(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1 binary64)))
	20.1%	(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (/.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))))))))
	21.0%	(neg.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
	19.3%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
	23.9%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (/.f64 (pow.f64 (log.f64 (.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))) #s(literal 2 binary64)) (log.f64 (.f64 (.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N))))))) (/.f64 (pow.f64 (log.f64 (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N))))) #s(literal 2 binary64)) (log.f64 (.f64 (.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (*.f64 N N))))))))))
	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
	22.7%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N (.f64 N (.f64 N (.f64 N N))))) (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N (.f64 N (.f64 N N))))))) (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N (.f64 N (.f64 N N))))))) (log.f64 (.f64 (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N)))) (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N (.f64 N (.f64 N N)))))) (.f64 (.f64 N (.f64 N N)) (-.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N (.f64 N (*.f64 N N)))))))))))))
	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))))
	23.9%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (.f64 (.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (-.f64 (.f64 N (.f64 N (.f64 N N))) N)))) (log.f64 (.f64 (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N)))) (.f64 (.f64 N N) (-.f64 (.f64 N (.f64 N (*.f64 N N))) N)))))))
	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (log1p.f64 N) (log.f64 N))))
✓	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
	24.2%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
✓	24.6%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	24.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	24.1%	(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)))
	24.1%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)))
	22.5%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
	91.4%	(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)))
▶	24.1%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))

Compiler

Compiled 2070 to 1032 computations (50.1% saved)

simplify152.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
✓	cost-diff	0	(exp.f64 #s(literal -1 binary64))
✓	cost-diff	12864	(pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64))
✓	cost-diff	12864	(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	0	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	cost-diff	0	(log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
✓	cost-diff	12800	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
✓	cost-diff	0	(+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64))
✓	cost-diff	128	(/.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)))
✓	cost-diff	128	(/.f64 N (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 N (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
✓	cost-diff	256	(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
✓	cost-diff	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

1846×	`-lowering-.f32`
1846×	`-lowering-.f64`
1506×	`sum3-define`
1398×	`+-lowering-+.f64`
1398×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	283
1	98	273
2	241	265
3	756	250
4	2893	236
0	8438	236

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize338.0ms (3.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
✓	accuracy	94.9%	(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	24.8%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
✓	accuracy	95.2%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
✓	accuracy	24.8%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	accuracy	99.9%	(+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))
✓	accuracy	99.8%	(/.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)))
✓	accuracy	99.6%	(.f64 N (.f64 N N))
✓	accuracy	99.6%	(.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
✓	accuracy	99.8%	(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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	99.4%	(/.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

225.0ms	198×	1	valid
27.0ms	54×	0	valid
13.0ms	4×	5	exit

Compiler

Compiled 309 to 42 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-div: 31.0ms (16.9% of total)

ival-pow: 29.0ms (15.8% of total)

backward-pass: 26.0ms (14.2% of total)

ival-log: 23.0ms (12.5% of total)

...c/correct-round.rkt:119:19: 21.0ms (11.4% of total)

ival-mult: 21.0ms (11.4% of total)

ival-add: 14.0ms (7.6% of total)

ival-exp: 10.0ms (5.4% of total)

ival-sub: 7.0ms (3.8% of total)

const: 2.0ms (1.1% of total)

series15.0ms (0.1%)

Counts

26 → 288

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

Outputs
#<alt (* 24 (pow N 2))>
#<alt (* (pow N 2) (+ 24 (* 48 N)))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/24 (pow N 3))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)>
#<alt (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)>
#<alt (/ -1/24 (pow N 3))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/12 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)>
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))>
#<alt 2>
#<alt (+ 2 (* -4 N))>
#<alt (+ 2 (* N (- (* 8 N) 4)))>
#<alt (+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))>
#<alt 1/2>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (/ 1/2 N)>
#<alt (/ (+ 1/2 N) N)>
#<alt (/ (+ 1/2 N) N)>
#<alt (/ (+ 1/2 N) 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 (* -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>
#<alt (- (* 1/3 N) 1/4)>
#<alt (- (* N (+ 1/3 (* -1/2 N))) 1/4)>
#<alt (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4)>
#<alt (pow N 3)>
#<alt (* (pow N 3) (- 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))>
#<alt (* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))>
#<alt (pow N 3)>
#<alt (* -1 (* (pow N 3) (- (* 1/2 (/ 1 N)) 1)))>
#<alt (* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))>
#<alt (* -1 (* (pow N 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))>
#<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 (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 (pow (/ 1 (exp -1)) (log (* -1 (log N))))>
#<alt (+ (* -1 (/ (* N (* (log (/ 1 (exp -1))) (pow (/ 1 (exp -1)) (log (* -1 (log N)))))) (log N))) (pow (/ 1 (exp -1)) (log (* -1 (log N)))))>
#<alt (+ (* 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)))))>
#<alt (+ (* 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)))))>
#<alt (pow (/ 1 (exp -1)) (log (/ 1 N)))>
#<alt (+ (* -1/2 (/ (* (log (/ 1 (exp -1))) (pow (/ 1 (exp -1)) (log (/ 1 N)))) N)) (pow (/ 1 (exp -1)) (log (/ 1 N))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N)))))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (+ (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N))))) (+ (* 1/48 (pow (log (/ 1 (exp -1))) 3)) (+ (* 5/48 (pow (log (/ 1 (exp -1))) 2)) (* 1/8 (log (/ 1 (exp -1))))))) N)) (* (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)))>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ 1/24 N)>
#<alt (/ -1/24 (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ 1/12 N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ 1/12 N)>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (/ -1/24 N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt (/ (- (* 1/12 N) 1/24) N)>
#<alt 1/12>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt 1/12>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (- 1/12 (* 1/24 (/ 1 N)))>
#<alt (* 1/3 N)>
#<alt (* N (+ 1/3 (* -1/2 N)))>
#<alt (* N (+ 1/3 (* N (- N 1/2))))>
#<alt (* N (+ 1/3 (* N (- N 1/2))))>
#<alt (pow N 3)>
#<alt (* (pow N 3) (- 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))>
#<alt (* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))>
#<alt (pow N 3)>
#<alt (* -1 (* (pow N 3) (- (* 1/2 (/ 1 N)) 1)))>
#<alt (* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))>
#<alt (* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt 1/3>
#<alt (+ 1/3 (* -1/2 N))>
#<alt (+ 1/3 (* N (- N 1/2)))>
#<alt (+ 1/3 (* N (- N 1/2)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))>
#<alt (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) 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)))>

Calls

72 calls:

Time	Variable		Point	Expression
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))))
0.0ms	N	@	0	(/ 1 (* (+ (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) (- 0 N)) -1) (- 0 N)))
0.0ms	N	@	0	(log (log (/ (+ 1 N) N)))

rewrite353.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4282×	`-lowering-.f32`
4282×	`-lowering-.f64`
2910×	`/-lowering-/.f32`
2910×	`/-lowering-/.f64`
2060×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	216
1	290	199
2	2532	188
0	8697	188

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 687

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

Outputs
(exp.f64 (.f64 (log.f64 (neg.f64 (.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) N))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 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 (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (neg.f64 (.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))) #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 (neg.f64 (.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) #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 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(+.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal 0 binary64)) (neg.f64 (.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)) N)
(+.f64 (.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (neg.f64 (.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))
(exp.f64 (neg.f64 (.f64 (log.f64 (neg.f64 (.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) N (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)))
(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)) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (*.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N) N)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)))
(fma.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal 0 binary64) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))
(neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))
(/.f64 #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 (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) #s(literal -1 binary64))
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(/.f64 (.f64 N (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (-.f64 (*.f64 N (+.f64 N #s(literal -1/2 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (.f64 N (-.f64 #s(literal 1/9 binary64) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64))))))) N) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (-.f64 (*.f64 N (+.f64 N #s(literal -1/2 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))) N) (-.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64)))))
(.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))
(.f64 (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))) N)
(exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N))))
(/.f64 (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N)))) (.f64 (.f64 N N) (.f64 (.f64 N N) (*.f64 N N))))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (.f64 N (*.f64 N N))))
(/.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 N N))) #s(literal 3 binary64)) (.f64 N (*.f64 N N)))
(/.f64 (pow.f64 (+.f64 #s(literal 0 binary64) (.f64 N (.f64 N N))) #s(literal 3 binary64)) (.f64 (.f64 N N) (.f64 (.f64 N N) (*.f64 N N))))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 (*.f64 N N) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N)))
(.f64 N (.f64 N N))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 N (*.f64 N N))))
(.f64 (.f64 N N) N)
(.f64 (.f64 N (*.f64 N N)) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))
(+.f64 (*.f64 N (+.f64 N #s(literal -1/2 binary64))) #s(literal 1/3 binary64))
(+.f64 (.f64 N N) (+.f64 (.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
(+.f64 (+.f64 #s(literal 1/3 binary64) (.f64 N N)) (.f64 N #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) (/.f64 (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) (-.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))))
(fma.f64 N N (+.f64 (*.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
(fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(fma.f64 (+.f64 N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (-.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (-.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64))))))) (+.f64 (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 N #s(literal 1/3 binary64)) (+.f64 N #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (-.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal 1/9 binary64)) (-.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (-.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64))))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 N (+.f64 N #s(literal -1/2 binary64))) (-.f64 (*.f64 N (+.f64 N #s(literal -1/2 binary64))) #s(literal 1/3 binary64))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 N (.f64 (+.f64 N #s(literal -1/2 binary64)) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.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 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.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 #s(literal 1 binary64) (.f64 N (.f64 N N))) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))
(pow.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))

simplify265.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4288×	`-lowering-.f32`
4288×	`-lowering-.f64`
2196×	`+-lowering-+.f64`
2196×	`+-lowering-+.f32`
1484×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	416	2649
1	1293	2235
2	4152	2131
0	8395	2131

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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))
2
(+ 2 (* -4 N))
(+ 2 (* N (- (* 8 N) 4)))
(+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))
1/2
(+ 1/2 N)
(+ 1/2 N)
(+ 1/2 N)
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(/ 1/2 N)
(/ (+ 1/2 N) N)
(/ (+ 1/2 N) N)
(/ (+ 1/2 N) 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))
(/ (- (* 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
(- (* 1/3 N) 1/4)
(- (* N (+ 1/3 (* -1/2 N))) 1/4)
(- (* N (+ 1/3 (* N (- N 1/2)))) 1/4)
(pow N 3)
(* (pow N 3) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(pow N 3)
(* -1 (* (pow N 3) (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
(* -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))
(log (* -1 (log N)))
(+ (log (* -1 (log N))) (* -1 (/ N (log N))))
(+ (log (* -1 (log N))) (* N (- (* 1/2 (* N (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log 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)))))
(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)))
(- (+ (log -1) (log (/ -1 N))) (* 1/2 (/ 1 N)))
(+ (log -1) (+ (log (/ -1 N)) (* -1 (/ (- 1/2 (* 5/24 (/ 1 N))) N))))
(+ (log -1) (+ (log (/ -1 N)) (* -1 (/ (+ 1/2 (* -1 (/ (- 5/24 (* 1/8 (/ 1 N))) N))) 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))
(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)))
(+ (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N))))) (+ (* 1/48 (pow (log (/ 1 (exp -1))) 3)) (+ (* 5/48 (pow (log (/ 1 (exp -1))) 2)) (* 1/8 (log (/ 1 (exp -1))))))) N)) (* (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)))
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ 1/12 N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ 1/12 N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/ -1/24 N)
(/ (- (* 1/12 N) 1/24) N)
(/ (- (* 1/12 N) 1/24) N)
(/ (- (* 1/12 N) 1/24) N)
1/12
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
1/12
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(* 1/3 N)
(* N (+ 1/3 (* -1/2 N)))
(* N (+ 1/3 (* N (- N 1/2))))
(* N (+ 1/3 (* N (- N 1/2))))
(pow N 3)
(* (pow N 3) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(pow N 3)
(* -1 (* (pow N 3) (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
1/3
(+ 1/3 (* -1/2 N))
(+ 1/3 (* N (- N 1/2)))
(+ 1/3 (* N (- N 1/2)))
(pow N 2)
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(pow N 2)
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))

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 #s(literal -192 binary64) (*.f64 N #s(literal -1536 binary64))))))))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #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 -1/2 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 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) 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)
(/ 1/24 (pow N 2))
(/.f64 #s(literal 1/24 binary64) (*.f64 N N))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N #s(literal -1/12 binary64))) (.f64 N N))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 #s(literal -1/12 binary64) (.f64 N #s(literal 1/2 binary64))))) (*.f64 N N))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 #s(literal -1/12 binary64) (.f64 N (+.f64 N #s(literal 1/2 binary64)))))) (*.f64 N N))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 N #s(literal 1/2 binary64))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 N #s(literal 1/2 binary64))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)))
(/ -1/24 (pow N 3))
(/.f64 #s(literal -1/24 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (*.f64 N N))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1/24 binary64) N)) (*.f64 N N))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))
(/.f64 (+.f64 #s(literal -1/24 binary64) (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (-.f64 #s(literal -1/2 binary64) N))))) (.f64 N (.f64 N N)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N))
(- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (/.f64 #s(literal -1/24 binary64) (.f64 N (.f64 N N))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N))
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal -1/2 binary64)) N))
(/ -1/24 (pow N 3))
(/.f64 #s(literal -1/24 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (*.f64 N N))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1/24 binary64) N)) (*.f64 N N))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1/24 binary64) N)) (*.f64 N N))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/12 (/ 1 N)) 1/2) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal -1/2 binary64)) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal -1/2 binary64)) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))
(/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal -1/2 binary64)) N)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) #s(literal -1/2 binary64)) N)
2
#s(literal 2 binary64)
(+ 2 (* -4 N))
(+.f64 #s(literal 2 binary64) (*.f64 N #s(literal -4 binary64)))
(+ 2 (* N (- (* 8 N) 4)))
(+.f64 #s(literal 2 binary64) (.f64 N (+.f64 #s(literal -4 binary64) (.f64 N #s(literal 8 binary64)))))
(+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))
(+.f64 #s(literal 2 binary64) (.f64 N (+.f64 #s(literal -4 binary64) (.f64 N (+.f64 #s(literal 8 binary64) (*.f64 N #s(literal -16 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 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 binary64)) N)) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 binary64)) N) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 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 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 binary64)) N)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) N) #s(literal -1/4 binary64)) N)) N)) N)
1/2
#s(literal 1/2 binary64)
(+ 1/2 N)
(+.f64 N #s(literal 1/2 binary64))
(+ 1/2 N)
(+.f64 N #s(literal 1/2 binary64))
(+ 1/2 N)
(+.f64 N #s(literal 1/2 binary64))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 N #s(literal 1/2 binary64))
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 N #s(literal 1/2 binary64))
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 N #s(literal 1/2 binary64))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 N #s(literal 1/2 binary64))
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 N #s(literal 1/2 binary64))
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 N #s(literal 1/2 binary64))
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ (+ 1/2 N) N)
(/.f64 (+.f64 N #s(literal 1/2 binary64)) N)
(/ (+ 1/2 N) N)
(/.f64 (+.f64 N #s(literal 1/2 binary64)) N)
(/ (+ 1/2 N) N)
(/.f64 (+.f64 N #s(literal 1/2 binary64)) N)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(+ 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(+ 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(+ 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(+ 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ -1/4 (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 #s(literal -1/4 binary64) (*.f64 N #s(literal 1/3 binary64))) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64))))) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))) (pow.f64 N #s(literal 4 binary64)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #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 -1/2 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))
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(+ (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)))
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(+ (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)))
(-.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) N) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))) N))
(+ (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* (log (/ 1 (exp -1))) (+ (log -1) (log (/ -1 N))))) (+ (* 1/48 (pow (log (/ 1 (exp -1))) 3)) (+ (* 5/48 (pow (log (/ 1 (exp -1))) 2)) (* 1/8 (log (/ 1 (exp -1))))))) N)) (* (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)))
(-.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) N) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))) N)) N))
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ -1/24 (pow N 2))
(/.f64 #s(literal -1/24 binary64) (*.f64 N N))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(/ 1/12 N)
(/.f64 #s(literal 1/12 binary64) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(/ 1/12 N)
(/.f64 #s(literal 1/12 binary64) N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ (- (* 1/12 N) 1/24) N)
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(/ (- (* 1/12 N) 1/24) N)
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(/ (- (* 1/12 N) 1/24) N)
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
1/12
#s(literal 1/12 binary64)
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
1/12
#s(literal 1/12 binary64)
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(* 1/3 N)
(*.f64 N #s(literal 1/3 binary64))
(* N (+ 1/3 (* -1/2 N)))
(.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64))))
(* N (+ 1/3 (* N (- N 1/2))))
(.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))
(* N (+ 1/3 (* N (- N 1/2))))
(.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))))
(pow N 3)
(.f64 N (.f64 N N))
(* (pow N 3) (- 1 (* 1/2 (/ 1 N))))
(.f64 (.f64 N (-.f64 #s(literal 0 binary64) N)) (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) N)))
(* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)) (.f64 N (*.f64 N N)))
(* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)) (.f64 N (*.f64 N N)))
(pow N 3)
(.f64 N (.f64 N N))
(* -1 (* (pow N 3) (- (* 1/2 (/ 1 N)) 1)))
(.f64 (.f64 N (-.f64 #s(literal 0 binary64) N)) (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) N)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)) (.f64 N (*.f64 N N)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)) (.f64 N (*.f64 N N)))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/2 N))
(+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 binary64)))
(+ 1/3 (* N (- N 1/2)))
(+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))
(+ 1/3 (* N (- N 1/2)))
(+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(*.f64 N (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) N))))
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)))
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(*.f64 N (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
(.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)))
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
(.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))

eval164.0ms (1.5%)

Compiler: Compiled 23283 to 3263 computations (86% saved)

prune185.0ms (1.7%)

Pruning

46 alts after pruning (41 fresh and 5 done)

	Pruned	Kept	Total
New	1073	24	1097
Fresh	13	17	30
Picked	4	1	5
Done	2	4	6
Total	1092	46	1138

Accuracy

99.7%

Counts

1138 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.1%	(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))))
	24.6%	(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))))))
	24.0%	(pow.f64 (.f64 (.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (E.f64))) (cbrt.f64 (E.f64))) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	24.1%	(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
	24.1%	(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	21.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	95.3%	(/.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 (*.f64 N N))))
	93.6%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/2 binary64)) N)) N)
✓	95.6%	(/.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 (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)
	95.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 #s(literal -1/12 binary64) (.f64 N (+.f64 N #s(literal 1/2 binary64)))))) (*.f64 N N)))
	96.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (.f64 (.f64 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)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))))
	96.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal -1 binary64))) (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal 1 binary64)))))
	96.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #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))))))
	93.5%	(/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1/2 binary64)))
	96.1%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))))))))
	95.1%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
	95.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/24 binary64) (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (-.f64 #s(literal -1/2 binary64) N))))) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) N)))
	95.9%	(/.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)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #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)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N)))))) (-.f64 #s(literal 0 binary64) N)))
	96.0%	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) (.f64 N N)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
	96.0%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (/.f64 #s(literal -1/24 binary64) (.f64 N (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N)))
	96.0%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))))
	95.0%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
✓	86.2%	(/.f64 #s(literal 1 binary64) N)
	21.3%	(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	95.6%	(.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)
	95.9%	(*.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))
	21.4%	(.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))))
	24.6%	(.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	24.6%	(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1 binary64)))
	20.1%	(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (/.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))))))))
	21.0%	(neg.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
	19.3%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))))
	23.9%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (.f64 (.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (-.f64 (.f64 N (.f64 N (.f64 N N))) N)))) (log.f64 (.f64 (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N)))) (.f64 (.f64 N N) (-.f64 (.f64 N (.f64 N (*.f64 N N))) N)))))))
	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (log1p.f64 N) (log.f64 N))))
✓	24.6%	(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
	24.2%	(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
✓	24.6%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	24.1%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	24.1%	(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)))
	24.1%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)))
	24.6%	(exp.f64 (log.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	24.1%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	9.8%	#s(literal 2 binary64)

Compiler

Compiled 3961 to 1157 computations (70.8% saved)

regimes53.0ms (0.5%)

Counts

94 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1/2 binary64)))
(/.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) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 N (+.f64 #s(literal -1/12 binary64) (.f64 N (+.f64 N #s(literal 1/2 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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))) N)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.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 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))))))))
(/.f64 #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 (.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 (*.f64 N N))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))))
(/.f64 (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) (.f64 N N)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 N (.f64 N 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)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (/.f64 #s(literal -1/24 binary64) (.f64 N (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/24 binary64) (.f64 N (+.f64 #s(literal 1/12 binary64) (.f64 N (-.f64 #s(literal -1/2 binary64) N))))) (.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #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 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)))) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) #s(literal 1 binary64))) N)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N N)) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) #s(literal -1 binary64))) (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #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 #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 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #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 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 #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 #s(literal 1 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)))) 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)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 #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)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N)))))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N))))) (.f64 (.f64 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)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #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)))))))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
(/.f64 (+.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1 binary64)))
(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
(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)))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 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))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) 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)))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (log1p.f64 N) (log.f64 N))))
(neg.f64 (/.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (+.f64 N #s(literal -1 binary64)))))))
(neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)) (log1p.f64 (.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N)))) (log.f64 (+.f64 (.f64 (.f64 N N) (.f64 N N)) (-.f64 (.f64 N N) (.f64 N (*.f64 N N))))))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (.f64 (.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (.f64 (.f64 N N) (-.f64 (.f64 N (.f64 N (.f64 N N))) N)))) (log.f64 (.f64 (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N)))) (.f64 (.f64 N N) (-.f64 (.f64 N (.f64 N (*.f64 N N))) N)))))))
(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))))
(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))))
(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))))))
(/.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)))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (+.f64 (.f64 (.f64 N (.f64 N (.f64 N (.f64 N (.f64 N N))))) (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N (.f64 N (.f64 N N))))))) (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N (.f64 N (.f64 N N))))))) (log.f64 (.f64 (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N)))) (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N (.f64 N (.f64 N N)))))) (.f64 (.f64 N (.f64 N N)) (-.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N (.f64 N (*.f64 N N)))))))))))))
(neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 N) N) (-.f64 (+.f64 (+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) N)) (/.f64 (.f64 #s(literal 2/3 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 N N))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 N))))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (.f64 N (.f64 N N)))))) N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(pow.f64 (.f64 (.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (E.f64))) (cbrt.f64 (E.f64))) (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(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)))
(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)))))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
(neg.f64 (/.f64 (-.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 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 N))))))
(.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (/.f64 (pow.f64 (log.f64 (.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))) #s(literal 2 binary64)) (log.f64 (.f64 (.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N))))))) (/.f64 (pow.f64 (log.f64 (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (.f64 N N))))) #s(literal 2 binary64)) (log.f64 (.f64 (.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (.f64 N (+.f64 (.f64 N (.f64 N N)) (-.f64 N (*.f64 N N))))))))))
(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)))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
(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)))))))))
(neg.f64 (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 (/.f64 (log.f64 N) N) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N))) (.f64 N (.f64 N N))) (.f64 (log.f64 N) (/.f64 (+.f64 #s(literal 11/12 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N)))) (.f64 N (.f64 N N))))) (+.f64 (+.f64 (.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N)) (/.f64 (.f64 (log.f64 N) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (.f64 N N))) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 N))) (.f64 N (.f64 N N))) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N)) (+.f64 (.f64 (/.f64 #s(literal -1/4 binary64) N) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N))) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N))) (+.f64 (+.f64 (/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 N))) (.f64 N N)) (.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))))) N) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))))

Outputs

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

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

Calls

2 calls:

24.0ms	N
19.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.6%	2	`N`
99.6%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes36.0ms (0.3%)

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

15.0ms	N
13.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.6%	2	`N`
99.6%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes34.0ms (0.3%)

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

18.0ms	N
10.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.6%	2	`N`
99.6%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes19.0ms (0.2%)

Counts

44 → 2

Calls

Call 1

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts

43 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
96.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
96.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1/2 binary64)))
(/.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) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.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
95.6%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
93.5%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes20.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
86.2%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
9.8%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001069400063215653	0.0011416785948101804

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001069400063215653	0.0011416785948101804

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001069400063215653	0.0011416785948101804

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	425.73030129631235	875.4033524543433

Results

5.0ms

80×

valid

Compiler

Compiled 157 to 114 computations (27.4% saved)

Precisions

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

ival-log: 2.0ms (74.3% 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)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative_binary64`
24×	`*-commutative_binary64`
18×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	224
1	102	224
2	121	224
3	132	224
4	137	224

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5072854620270127/4611686018427387904 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))))))) (neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5072854620270127/4611686018427387904 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))))))) (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5072854620270127/4611686018427387904 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 840 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 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 -1/12 binary64) (/.f64 #s(literal 1/24 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 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
(/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5072854620270127/4611686018427387904 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))))))) (neg.f64 (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5072854620270127/4611686018427387904 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))))))) (/.f64 (.f64 (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5072854620270127/4611686018427387904 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))))))) (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5072854620270127/4611686018427387904 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5072854620270127/4611686018427387904 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 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 5072854620270127/4611686018427387904 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 840 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 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 -1/12 binary64) (/.f64 #s(literal 1/24 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 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/12 binary64) N) (+.f64 N #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

soundness2.4s (22%)

Rules

4288×	`-lowering-.f32`
4288×	`-lowering-.f64`
4282×	`-lowering-.f32`
4282×	`-lowering-.f64`
4180×	`+-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	48	343
1	332	233
2	3127	231
0	8433	231
0	700	5405
1	2390	4760
0	8427	4760
0	9	19
1	65	19
2	393	19
3	3845	19
0	8319	19
0	41	216
1	290	199
2	2532	188
0	8697	188
0	416	2649
1	1293	2235
2	4152	2131
0	8395	2131
0	36	203
1	224	198
2	1929	196
0	8195	196

Stop Event

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

Compiler

Compiled 466 to 242 computations (48.1% saved)

preprocess67.0ms (0.6%)

Compiler: Compiled 482 to 150 computations (68.9% saved)

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

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

analyze0.0ms (0%)

sample1.6s (14.9%)

preprocess42.0ms (0.4%)

explain126.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify42.0ms (0.4%)

localize252.0ms (2.3%)

series62.0ms (0.6%)

rewrite333.0ms (3.1%)

simplify203.0ms (1.9%)

eval98.0ms (0.9%)

prune96.0ms (0.9%)

simplify131.0ms (1.2%)

localize731.0ms (6.8%)

series61.0ms (0.6%)

rewrite299.0ms (2.8%)

simplify483.0ms (4.5%)

eval201.0ms (1.9%)

prune151.0ms (1.4%)

simplify205.0ms (1.9%)

localize463.0ms (4.3%)

series34.0ms (0.3%)

rewrite325.0ms (3%)

simplify322.0ms (3%)

eval199.0ms (1.9%)

prune167.0ms (1.6%)

simplify152.0ms (1.4%)

localize338.0ms (3.1%)

series15.0ms (0.1%)

rewrite353.0ms (3.3%)

simplify265.0ms (2.5%)

eval164.0ms (1.5%)

prune185.0ms (1.7%)

regimes53.0ms (0.5%)

regimes36.0ms (0.3%)

regimes34.0ms (0.3%)

regimes19.0ms (0.2%)

regimes17.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes20.0ms (0.2%)

regimes1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

simplify11.0ms (0.1%)

soundness2.4s (22%)

preprocess67.0ms (0.6%)

end0.0ms (0%)

Profiling

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