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)

sample1.8s (20.3%)

Results

1.4s	7088×	1	valid
86.0ms	1168×	0	valid

Precisions

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

ival-log: 509.0ms (48.2% of total)

backward-pass: 172.0ms (16.3% of total)

ival->: 113.0ms (10.7% of total)

ival-add: 105.0ms (10% of total)

ival-sub: 82.0ms (7.8% of total)

ival-and: 29.0ms (2.7% of total)

ival-<: 28.0ms (2.7% of total)

const: 17.0ms (1.6% of total)

Bogosity

preprocess49.0ms (0.6%)

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)))

explain239.0ms (2.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
249	-	-	`(-.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

177.0ms	442×	1	valid
6.0ms	70×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-log: 29.0ms (51.7% of total)

backward-pass: 12.0ms (21.4% of total)

ival-add: 8.0ms (14.3% of total)

ival-sub: 5.0ms (8.9% of total)

const: 1.0ms (1.8% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.1%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	23.1%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify14.0ms (0.2%)

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	0	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
✓	cost-diff	128	(log.f64 (+.f64 N #s(literal 1 binary64)))

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)

localize346.0ms (3.9%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log1p.f64 N)
✓	accuracy	98.6%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log.f64 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	98.6%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

321.0ms	229×	5	exit
4.0ms	27×	0	valid

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-log: 129.0ms (61.7% of total)

backward-pass: 42.0ms (20.1% of total)

compiled-spec: 18.0ms (8.6% of total)

ival-sub: 12.0ms (5.7% of total)

ival-add: 7.0ms (3.3% of total)

const: 1.0ms (0.5% of total)

series82.0ms (0.9%)

Counts

6 → 72

Calls

Call 1

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

Outputs
#<alt N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 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 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
49.0ms	N	@	0	(log N)
24.0ms	N	@	-inf	(log N)
6.0ms	N	@	inf	(log N)
0.0ms	N	@	-inf	(- (log (+ N 1)) (log N))
0.0ms	N	@	0	(log (+ N 1))

rewrite206.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`/-lowering-/.f32`
1888×	`/-lowering-/.f64`
1468×	`sum3-define`
1228×	`-lowering-.f32`
1228×	`-lowering-.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	19	19
2	31	19
3	82	19
4	276	19
5	828	15
6	2773	15
0	8415	15

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 249

Calls

Call 1

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

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

simplify206.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	580
1	280	496
2	738	478
3	2062	472
4	6707	472
0	8326	472

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

eval57.0ms (0.6%)

Compiler: Compiled 3656 to 427 computations (88.3% saved)

prune26.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	352	6	358
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	354	6	360

Accuracy

99.9%

Counts

360 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(/.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)
▶	95.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
▶	93.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
▶	85.2%	(/.f64 #s(literal 1 binary64) N)
	26.0%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) N)))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 114 to 84 computations (26.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))
✓	cost-diff	(/.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	(+.f64 #s(literal 1 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	(/.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)
✓	cost-diff	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
✓	cost-diff	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
✓	cost-diff	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
✓	cost-diff	(/.f64 #s(literal -1/2 binary64) N)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
✓	cost-diff	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
✓	cost-diff	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Rules

28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
20×	`/-lowering-/.f32`
20×	`/-lowering-/.f64`
14×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	136
1	34	136
0	34	136

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(log (+ 1 (/ 1 N)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
N
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
N
(/ (+ 1 (/ -1/2 N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(+ 1 (/ -1/2 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
1
#s(literal 1 binary64)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
-1/2
#s(literal -1/2 binary64)
N
(/ (+ 1 (/ (+ -1/2 (/ 1/3 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)
(+ 1 (/ (+ -1/2 (/ 1/3 N)) N))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
1
#s(literal 1 binary64)
(/ (+ -1/2 (/ 1/3 N)) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(+ -1/2 (/ 1/3 N))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
-1/2
#s(literal -1/2 binary64)
(/ 1/3 N)
(/.f64 #s(literal 1/3 binary64) N)
1/3
#s(literal 1/3 binary64)
N
(/ (+ 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

localize317.0ms (3.6%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -1/2 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)
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) N)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Results

218.0ms	214×	1	valid
18.0ms	42×	0	valid

Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-div: 32.0ms (21.3% of total)

compiled-spec: 29.0ms (19.3% of total)

...c/correct-round.rkt:119:19: 28.0ms (18.7% of total)

ival-log: 23.0ms (15.3% of total)

ival-add: 20.0ms (13.3% of total)

backward-pass: 16.0ms (10.7% of total)

const: 1.0ms (0.7% of total)

series9.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(/ (+ 1 (/ -1/2 N)) N)
0.0ms	N	@	0	(/ (+ 1 (/ -1/2 N)) N)
0.0ms	N	@	-inf	(/ (+ 1 (/ (+ -1/2 (/ 1/3 N)) N)) N)
0.0ms	N	@	0	(/ (+ 1 (/ (+ -1/2 (/ 1/3 N)) N)) N)
0.0ms	N	@	0	(/ (+ 1/3 (/ -1/4 N)) N)

rewrite267.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`fma-lowering-fma.f32`
1816×	`fma-lowering-fma.f64`
1784×	`-lowering-.f32`
1784×	`-lowering-.f64`
1716×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	115
1	90	115
2	365	115
3	1599	115
4	4964	115
0	8093	115

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 700

Calls

Call 1

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

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

simplify196.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2182×	`-lowering-.f32`
2182×	`-lowering-.f64`
1242×	`fmsub-define`
1224×	`fmm-def`
1216×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	108	1254
1	322	1103
2	844	1101
3	2382	1101
4	7590	1081
0	8272	1081

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval128.0ms (1.4%)

Compiler: Compiled 12997 to 2228 computations (82.9% saved)

prune125.0ms (1.4%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	903	16	919
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	903	22	925

Accuracy

100.0%

Counts

925 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))) N)
▶	96.5%	(/.f64 (-.f64 (.f64 #s(literal 0 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 0 binary64) N)) (.f64 (-.f64 #s(literal 0 binary64) 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)))))
	96.5%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) 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 0 binary64) N) N))
	96.9%	(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
	95.7%	(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
▶	96.8%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N)) #s(literal 1 binary64))) N)
	95.7%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) N)
	85.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 N N)) N)) N)
	96.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 N N)) #s(literal -1/2 binary64))) N)) N)
✓	96.9%	(/.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)
✓	95.7%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
✓	93.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
▶	96.9%	(/.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))))
▶	95.8%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))))
	93.3%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
✓	85.2%	(/.f64 #s(literal 1 binary64) N)
	93.2%	(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))
▶	93.2%	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
	26.0%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) N)))
	94.9%	(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	95.2%	(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 N))))

Compiler

Compiled 589 to 396 computations (32.8% saved)

simplify146.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 (-.f64 #s(literal 0 binary64) 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))))
✓	cost-diff	256	(-.f64 (*.f64 #s(literal 0 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 0 binary64) N))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 #s(literal 0 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 0 binary64) N)) (.f64 (-.f64 #s(literal 0 binary64) 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)))))
✓	cost-diff	1024	(*.f64 #s(literal 0 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))))
✓	cost-diff	0	(+.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N)) #s(literal 1 binary64))) N)
✓	cost-diff	128	(+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))
✓	cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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

1584×	`-lowering-.f32`
1584×	`-lowering-.f64`
1070×	`fnmadd-define`
1004×	`fma-define`
972×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	328
1	99	326
2	213	322
3	675	321
4	2339	321
5	6740	321
0	8117	321

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

localize278.0ms (3.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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	99.6%	(/.f64 (-.f64 (.f64 #s(literal 0 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 0 binary64) N)) (.f64 (-.f64 #s(literal 0 binary64) 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)))))
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
✓	accuracy	99.9%	(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N)) #s(literal 1 binary64))) N)
✓	accuracy	99.8%	(+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
✓	accuracy	99.4%	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
✓	accuracy	100.0%	(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))))
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)
✓	accuracy	99.5%	(/.f64 #s(literal -1/3 binary64) N)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) N) (+.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 (+.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

176.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 403 to 43 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 31.0ms (39.6% of total)

ival-add: 20.0ms (25.5% of total)

...c/correct-round.rkt:119:19: 16.0ms (20.4% of total)

ival-mult: 6.0ms (7.7% of total)

ival-sub: 5.0ms (6.4% of total)

const: 1.0ms (1.3% of total)

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

series10.0ms (0.1%)

Counts

24 → 288

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 N) (+ 1 (/ -1/2 N)))>
#<alt (/ 1 N)>
#<alt (+ 1 (/ -1/2 N))>
#<alt (/ -1/2 N)>
#<alt (/ 1 (/ N (+ 1 (/ (- -1/2 (/ -1/3 N)) N))))>
#<alt (/ N (+ 1 (/ (- -1/2 (/ -1/3 N)) N)))>
#<alt (+ 1 (/ (- -1/2 (/ -1/3 N)) N))>
#<alt (/ (- -1/2 (/ -1/3 N)) N)>
#<alt (+ (/ -1/2 N) (+ (/ (+ 1/3 (/ -1/4 N)) (* N N)) 1))>
#<alt (/ (+ (/ -1/2 N) (+ (/ (+ 1/3 (/ -1/4 N)) (* N N)) 1)) N)>
#<alt (+ (/ (+ 1/3 (/ -1/4 N)) (* N N)) 1)>
#<alt (* 0 (/ N (+ -1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))>
#<alt (/ (- (* 0 (/ N (+ -1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))) (- 0 N)) (* (- 0 N) (/ N (+ -1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))))>
#<alt (- (* 0 (/ N (+ -1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))) (- 0 N))>
#<alt (* (- 0 N) (/ N (+ -1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))>
#<alt (/ (+ -1/3 (/ 1/4 N)) N)>
#<alt (+ -1/3 (/ 1/4 N))>
#<alt (/ -1/3 N)>
#<alt (/ (+ 1/3 (/ -1/4 N)) (* N N))>
#<alt (+ 1/3 (/ -1/4 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 (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))>
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))>
#<alt (/ 1/2 N)>
#<alt (/ (- 1/2 (* 1/3 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)>
#<alt (/ 1/2 N)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) 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 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ -1/2 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 (/ 1/3 (pow N 3))>
#<alt (/ (+ 1/3 (* -1/2 N)) (pow N 3))>
#<alt (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))>
#<alt (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))>
#<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))) 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 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* 3 (pow N 3))>
#<alt (* (pow N 3) (+ 3 (* 9/2 N)))>
#<alt (* (pow N 3) (+ 3 (* N (+ 9/2 (* -9/4 N)))))>
#<alt (* (pow N 3) (+ 3 (* N (+ 9/2 (* N (- (* -135/8 N) 9/4))))))>
#<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 (/ (+ 1/12 (* 5/24 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))))>
#<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 (* 5/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ (+ 1/3 (* -1/2 N)) (pow N 2))>
#<alt (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))>
#<alt (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))>
#<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)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ (+ 1/3 (* -1/2 N)) (pow N 2))>
#<alt (/ (+ 1/3 (* -1/2 N)) (pow N 2))>
#<alt (/ (+ 1/3 (* -1/2 N)) (pow N 2))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 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 (* 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 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 (pow N 2))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (pow N 2))) 1/4) (pow N 3))>
#<alt 1>
#<alt (+ 1 (* 1/3 (/ 1 (pow N 2))))>
#<alt (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3)))>
#<alt (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (/ 1 (pow N 2))))>
#<alt (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3)))>
#<alt (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3)))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<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 N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt (* -4 (pow N 5))>
#<alt (* (pow N 5) (- (* -16/3 N) 4))>
#<alt (* (pow N 5) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 5) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 2) (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* (pow N 2) (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ -1/3 N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ -1/3 N)>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (/ -1/3 N)>
#<alt (/ -1/3 N)>
#<alt (/ -1/3 N)>
#<alt (/ -1/3 N)>
#<alt (/ -1/3 N)>
#<alt (/ -1/3 N)>
#<alt (/ -1/3 N)>
#<alt (/ -1/3 N)>
#<alt (/ -1/3 N)>
#<alt (/ -1/3 N)>
#<alt (/ -1/3 N)>
#<alt (/ -1/3 N)>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))>
#<alt (/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))>
#<alt (/ -1/4 N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt (/ (- (* 1/3 N) 1/4) N)>
#<alt 1/3>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt 1/3>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>
#<alt (- 1/3 (* 1/4 (/ 1 N)))>

Calls

72 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(/ 1 (/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))
0.0ms	N	@	inf	(/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))
0.0ms	N	@	0	(/ -1/3 N)
0.0ms	N	@	inf	(/ 1 (/ N (+ 1 (/ (- -1/2 (/ -1/3 N)) N))))
0.0ms	N	@	0	(+ (/ (+ 1/3 (/ -1/4 N)) (* N N)) 1)

rewrite311.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2220×	`-lowering-.f32`
2220×	`-lowering-.f64`
2028×	`/-lowering-/.f32`
2028×	`/-lowering-/.f64`
1706×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	217
1	194	209
2	1026	208
3	6017	208
0	8250	208

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1282

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

simplify285.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3118×	`-lowering-.f32`
3118×	`-lowering-.f64`
2540×	`fma-lowering-fma.f32`
2540×	`fma-lowering-fma.f64`
1892×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	1966
1	673	1759
2	1911	1694
3	5920	1691
0	8657	1691

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -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))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/ 1/2 N)
(/ (- 1/2 (* 1/3 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)
(/ 1/2 N)
(* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) 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 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 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)
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 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))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* 3 (pow N 3))
(* (pow N 3) (+ 3 (* 9/2 N)))
(* (pow N 3) (+ 3 (* N (+ 9/2 (* -9/4 N)))))
(* (pow N 3) (+ 3 (* N (+ 9/2 (* N (- (* -135/8 N) 9/4))))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (+ 1 (+ (* -1 (/ (+ 1/12 (* 5/24 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))))
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 (* 5/24 (/ 1 N))) N))) N)) 1)))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
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
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 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 (* 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 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 (pow N 2))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (pow N 2))) 1/4) (pow N 3))
1
(+ 1 (* 1/3 (/ 1 (pow N 2))))
(- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3)))
(- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3)))
1
(+ 1 (* 1/3 (/ 1 (pow N 2))))
(- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3)))
(- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3)))
0
0
0
0
0
0
0
0
0
0
0
0
(/ -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))
N
N
N
N
N
N
N
N
N
N
N
N
(* -4 (pow N 5))
(* (pow N 5) (- (* -16/3 N) 4))
(* (pow N 5) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 5) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(pow N 2)
(* (pow N 2) (+ 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* (pow N 2) (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ -1/3 N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(/ -1/3 N)
(/ -1/3 N)
(/ -1/3 N)
(/ -1/3 N)
(/ -1/3 N)
(/ -1/3 N)
(/ -1/3 N)
(/ -1/3 N)
(/ -1/3 N)
(/ -1/3 N)
(/ -1/3 N)
(/ -1/3 N)
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ 1/3 (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ 1/3 (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ -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)))

Outputs
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N (*.f64 N N))))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 N #s(literal 1/3 binary64))) (.f64 N (.f64 N (.f64 N N))))
(/ (- (* 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))))) (.f64 N (.f64 N (*.f64 N N))))
(/ (- (* 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)))))) (.f64 N (.f64 N (*.f64 N N))))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(* -4 (pow N 4))
(.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -4 binary64))
(* (pow N 4) (- (* -16/3 N) 4))
(.f64 (.f64 N (.f64 N (.f64 N N))) (+.f64 #s(literal -4 binary64) (*.f64 N #s(literal -16/3 binary64))))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(.f64 (.f64 N (.f64 N (.f64 N N))) (+.f64 #s(literal -4 binary64) (.f64 N (+.f64 #s(literal -16/3 binary64) (.f64 N #s(literal 8/9 binary64))))))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(.f64 (.f64 N (.f64 N (.f64 N N))) (+.f64 #s(literal -4 binary64) (.f64 N (+.f64 #s(literal -16/3 binary64) (.f64 N (+.f64 #s(literal 8/9 binary64) (*.f64 N #s(literal -112/27 binary64))))))))
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 N (-.f64 #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 N (+.f64 #s(literal 1/2 binary64) (.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (.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 N (-.f64 #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 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N)) N)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 N #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
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#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N (*.f64 N N))))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (+.f64 #s(literal -1/4 binary64) (.f64 N #s(literal 1/3 binary64))) (.f64 N (.f64 N (.f64 N N))))
(/ (- (* 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))))) (.f64 N (.f64 N (*.f64 N N))))
(/ (- (* 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)))))) (.f64 N (.f64 N (*.f64 N N))))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
N
N
N
N
N
N
N
N
N
N
N
N
(* -4 (pow N 5))
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 5 binary64)))
(* (pow N 5) (- (* -16/3 N) 4))
(.f64 (+.f64 #s(literal -4 binary64) (.f64 N #s(literal -16/3 binary64))) (pow.f64 N #s(literal 5 binary64)))
(* (pow N 5) (- (* N (- (* 8/9 N) 16/3)) 4))
(.f64 (+.f64 #s(literal -4 binary64) (.f64 N (+.f64 #s(literal -16/3 binary64) (*.f64 N #s(literal 8/9 binary64))))) (pow.f64 N #s(literal 5 binary64)))
(* (pow N 5) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(.f64 (+.f64 #s(literal -4 binary64) (.f64 N (+.f64 #s(literal -16/3 binary64) (.f64 N (+.f64 #s(literal 8/9 binary64) (.f64 N #s(literal -112/27 binary64))))))) (pow.f64 N #s(literal 5 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 N #s(literal 1/2 binary64)))
(* (pow N 2) (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(*.f64 N (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N))))
(* (pow N 2) (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 N (+.f64 #s(literal 1/2 binary64) (.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (*.f64 N N))))))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 N #s(literal 1/2 binary64)))
(* (pow N 2) (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))))
(*.f64 N (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))))
(+.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N)) N))
(/ 1/4 (pow N 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 N #s(literal -1/3 binary64))) (.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 N #s(literal -1/3 binary64))) (.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 N #s(literal -1/3 binary64))) (.f64 N N))
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
(/ 1/3 (pow N 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
(/ 1/3 (pow N 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
(/ -1/4 N)
(/.f64 #s(literal -1/4 binary64) N)
(/ (- (* 1/3 N) 1/4) N)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(/ (- (* 1/3 N) 1/4) N)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(/ (- (* 1/3 N) 1/4) N)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 1/4 (/ 1 N)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(- 1/3 (* 1/4 (/ 1 N)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(- 1/3 (* 1/4 (/ 1 N)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 1/4 (/ 1 N)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(- 1/3 (* 1/4 (/ 1 N)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(- 1/3 (* 1/4 (/ 1 N)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))

eval239.0ms (2.7%)

Compiler: Compiled 48436 to 4189 computations (91.4% saved)

prune166.0ms (1.9%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1859	7	1866
Fresh	9	3	12
Picked	5	0	5
Done	1	4	5
Total	1874	14	1888

Accuracy

100.0%

Counts

1888 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(/.f64 (-.f64 (.f64 #s(literal 0 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 0 binary64) N)) (+.f64 (.f64 N N) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N)) N)))
	96.9%	(/.f64 (-.f64 (.f64 #s(literal 0 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 0 binary64) N)) (.f64 N (+.f64 N (+.f64 #s(literal 1/2 binary64) (.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (.f64 N N)))))))
✓	96.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) N)
✓	93.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
▶	95.4%	(/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))) (.f64 N (*.f64 N N)))
	96.2%	(/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N))))
▶	97.3%	(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (.f64 N N))))))
▶	93.9%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
	97.1%	(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N)) N))))
✓	85.2%	(/.f64 #s(literal 1 binary64) N)
▶	26.0%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) N)))
	94.9%	(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	95.2%	(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 N))))

Compiler

Compiled 373 to 267 computations (28.4% saved)

simplify111.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
✓	cost-diff	0	(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) N))
✓	cost-diff	192	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) N)))
✓	cost-diff	256	(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) N)
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N)) N)
✓	cost-diff	128	(+.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N)) N))
✓	cost-diff	256	(-.f64 (*.f64 #s(literal 0 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 0 binary64) N))
✓	cost-diff	1024	(*.f64 #s(literal 0 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))))
✓	cost-diff	0	(+.f64 N #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 N (+.f64 N #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))) (.f64 N (*.f64 N N)))
✓	cost-diff	0	(+.f64 N #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (.f64 N N))))
✓	cost-diff	0	(+.f64 N (+.f64 #s(literal 1/2 binary64) (.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (.f64 N N)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (.f64 N N))))))
✓	cost-diff	256	(.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (.f64 N N)))

Rules

1868×	`sum4-define`
1762×	`sum3-define`
1004×	`-lowering-.f32`
1004×	`-lowering-.f64`
876×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	305
1	105	298
2	202	280
3	746	264
4	4551	258
0	8179	258

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize415.0ms (4.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) N)))
✓	accuracy	99.9%	(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) N)
✓	accuracy	99.8%	(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
✓	accuracy	26.9%	(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))) N))
✓	accuracy	99.6%	(/.f64 (-.f64 (.f64 #s(literal 0 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 0 binary64) N)) (+.f64 (.f64 N N) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N)) N)))
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N)
✓	accuracy	99.5%	(/.f64 #s(literal 1/24 binary64) N)
✓	accuracy	100.0%	(*.f64 N (+.f64 N #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))
✓	accuracy	99.7%	(.f64 N (.f64 N N))
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 N (+.f64 N #s(literal -1/2 binary64)))) (.f64 N (*.f64 N N)))
✓	accuracy	100.0%	(+.f64 N #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64))
✓	accuracy	99.6%	(.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (.f64 N N)))
✓	accuracy	99.5%	(/.f64 #s(literal 1/24 binary64) N)
✓	accuracy	99.4%	(/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (*.f64 N N))

Results

289.0ms	201×	1	valid
44.0ms	55×	0	valid

Compiler

Compiled 382 to 48 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-div: 44.0ms (25.7% of total)

ival-add: 32.0ms (18.7% of total)

backward-pass: 31.0ms (18.1% of total)

...c/correct-round.rkt:119:19: 28.0ms (16.3% of total)

ival-mult: 17.0ms (9.9% of total)

ival-log: 11.0ms (6.4% of total)

ival-sub: 4.0ms (2.3% of total)

const: 2.0ms (1.2% of total)

ival-neg: 2.0ms (1.2% of total)

series15.0ms (0.2%)

Counts

25 → 300

Calls

Call 1

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

Outputs
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ -1/12 N)>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) N)>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) N)>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) N)>
#<alt (/ -1/12 N)>
#<alt (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))>
#<alt (* 24 (pow N 2))>
#<alt (* (pow N 2) (+ 24 (* 48 N)))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1/24 (pow N 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 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 (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 N)))>
#<alt (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))>
#<alt (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 N)))>
#<alt (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))>
#<alt (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 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 (/ 1/3 (pow N 3))>
#<alt (/ (+ 1/3 (* -1/2 N)) (pow N 3))>
#<alt (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))>
#<alt (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))>
#<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))) 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 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<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 (* -1/2 N)>
#<alt (* N (- N 1/2))>
#<alt (* N (- N 1/2))>
#<alt (* N (- N 1/2))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))>
#<alt -1/2>
#<alt (- N 1/2)>
#<alt (- N 1/2)>
#<alt (- N 1/2)>
#<alt N>
#<alt (* N (- 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- 1 (* 1/2 (/ 1 N))))>
#<alt N>
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt N>
#<alt (/ 1/24 N)>
#<alt (/ (+ 1/24 (* -1/12 N)) N)>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) N)>
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) N)>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 2) (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* (pow N 2) (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))))>
#<alt (/ 1/24 N)>
#<alt (/ (+ 1/24 (* -1/12 N)) N)>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) N)>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) N)>
#<alt (* 1/2 N)>
#<alt (* N (- 1/2 (* 1/12 (/ 1 N))))>
#<alt (* N (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))))>
#<alt (* N (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))))>
#<alt (* 1/2 N)>
#<alt (* -1 (* N (- (* 1/12 (/ 1 N)) 1/2)))>
#<alt (* -1 (* N (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2)))>
#<alt (* -1 (* N (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2)))>
#<alt N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* N (- N 1))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- N 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))>
#<alt N>
#<alt (* N (- 1 (/ 1 N)))>
#<alt (* N (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (* N (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))))>
#<alt N>
#<alt (* -1 (* N (- (/ 1 N) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (- (/ 1 N) 1) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1)))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 3))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 3))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 3))>
#<alt (/ -1/12 (pow N 2))>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))>
#<alt (/ -1/12 (pow N 2))>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))>
#<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 N)>
#<alt (/ (+ 1/24 (* -1/12 N)) N)>
#<alt (/ (+ 1/24 (* -1/12 N)) N)>
#<alt (/ (+ 1/24 (* -1/12 N)) N)>
#<alt -1/12>
#<alt (- (* 1/24 (/ 1 N)) 1/12)>
#<alt (- (* 1/24 (/ 1 N)) 1/12)>
#<alt (- (* 1/24 (/ 1 N)) 1/12)>
#<alt -1/12>
#<alt (- (* 1/24 (/ 1 N)) 1/12)>
#<alt (- (* 1/24 (/ 1 N)) 1/12)>
#<alt (- (* 1/24 (/ 1 N)) 1/12)>
#<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 (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ -1/12 N)>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) N)>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) N)>
#<alt (/ (- (* 1/24 (/ 1 N)) 1/12) N)>
#<alt (/ -1/12 N)>
#<alt (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ -1/3 N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ -1/3 N)>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* 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))>

Calls

75 calls:

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

rewrite238.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2040×	`-lowering-.f32`
2040×	`-lowering-.f64`
1984×	`+-lowering-+.f64`
1984×	`+-lowering-+.f32`
1704×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	196
1	196	187
2	864	151
3	5352	150
0	8710	150

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 893

Calls

Call 1

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

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

simplify248.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3696×	`-lowering-.f32`
3696×	`-lowering-.f64`
2046×	`+-lowering-+.f64`
2046×	`+-lowering-+.f32`
1314×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	2095
1	889	1873
2	2488	1689
3	7639	1689
0	8046	1689

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ -1/12 N)
(/ (- (* 1/24 (/ 1 N)) 1/12) N)
(/ (- (* 1/24 (/ 1 N)) 1/12) N)
(/ (- (* 1/24 (/ 1 N)) 1/12) N)
(/ -1/12 N)
(* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))
(* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))
(* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))
(* 24 (pow N 2))
(* (pow N 2) (+ 24 (* 48 N)))
(* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ 1/24 (pow N 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 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
1/2
(- 1/2 (* 1/12 (/ 1 N)))
(- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))
(- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))
1/2
(- 1/2 (* 1/12 (/ 1 N)))
(+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))
(+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 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))))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 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))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
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))))
(* -1/2 N)
(* N (- N 1/2))
(* N (- N 1/2))
(* N (- N 1/2))
(pow N 2)
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(pow N 2)
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
-1/2
(- N 1/2)
(- N 1/2)
(- N 1/2)
N
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- 1 (* 1/2 (/ 1 N))))
N
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
0
0
0
0
0
0
0
0
0
0
0
0
N
N
N
N
N
N
N
N
N
N
N
N
(/ 1/24 N)
(/ (+ 1/24 (* -1/12 N)) N)
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) N)
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) N)
(pow N 2)
(* (pow N 2) (+ 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* (pow N 2) (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))))
(/ 1/24 N)
(/ (+ 1/24 (* -1/12 N)) N)
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) N)
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) N)
(* 1/2 N)
(* N (- 1/2 (* 1/12 (/ 1 N))))
(* N (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))))
(* N (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))))
(* 1/2 N)
(* -1 (* N (- (* 1/12 (/ 1 N)) 1/2)))
(* -1 (* N (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2)))
(* -1 (* N (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2)))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
1
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
1
(- 1 (/ 1 N))
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))
(* -1 (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))
(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 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- N 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
N
(* N (- 1 (/ 1 N)))
(* N (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* N (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))))
N
(* -1 (* N (- (/ 1 N) 1)))
(* -1 (* N (- (* -1 (/ (- (/ 1 N) 1) N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1)))
(/ 1/24 (pow N 3))
(/ (+ 1/24 (* -1/12 N)) (pow N 3))
(/ (+ 1/24 (* -1/12 N)) (pow N 3))
(/ (+ 1/24 (* -1/12 N)) (pow N 3))
(/ -1/12 (pow N 2))
(/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))
(/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))
(/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))
(/ -1/12 (pow N 2))
(/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))
(/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))
(/ (- (* 1/24 (/ 1 N)) 1/12) (pow N 2))
(/ 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 N)
(/ (+ 1/24 (* -1/12 N)) N)
(/ (+ 1/24 (* -1/12 N)) N)
(/ (+ 1/24 (* -1/12 N)) N)
-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)) 1/12)
(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)
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ -1/12 N)
(/ (- (* 1/24 (/ 1 N)) 1/12) N)
(/ (- (* 1/24 (/ 1 N)) 1/12) N)
(/ (- (* 1/24 (/ 1 N)) 1/12) N)
(/ -1/12 N)
(* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))
(* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))
(* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ -1/3 N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* 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))

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

eval152.0ms (1.7%)

Compiler: Compiled 28664 to 3626 computations (87.3% saved)

prune131.0ms (1.5%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1269	18	1287
Fresh	3	2	5
Picked	4	1	5
Done	1	3	4
Total	1277	24	1301

Accuracy

100.0%

Counts

1301 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.8%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 (+.f64 N #s(literal 1/2 binary64)) N) (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64))) (-.f64 #s(literal 0 binary64) N))) (+.f64 (.f64 (+.f64 N #s(literal 1/2 binary64)) N) (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)))) (+.f64 (.f64 (+.f64 N #s(literal 1/2 binary64)) N) (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64))))
	97.2%	(/.f64 (/.f64 N (+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N))) N)
	97.1%	(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N)) N))
	96.8%	(/.f64 (-.f64 (.f64 #s(literal 0 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 0 binary64) N)) (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (+.f64 (.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
	96.9%	(/.f64 (-.f64 (.f64 #s(literal 0 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 0 binary64) N)) (+.f64 #s(literal -1/12 binary64) (.f64 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)))))))))
✓	93.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
	85.0%	(/.f64 (.f64 N N) (.f64 N (*.f64 N N)))
	96.9%	(/.f64 N (+.f64 (*.f64 (+.f64 N #s(literal 1/2 binary64)) N) (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64))))
	96.9%	(/.f64 N (+.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N)) N)))
	97.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (*.f64 N (+.f64 N #s(literal 1/2 binary64)))) N))
	97.1%	(/.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)))
	97.1%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) N)) N)) (/.f64 #s(literal 1 binary64) N)))
	97.3%	(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)))
	96.2%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
✓	93.9%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
	97.1%	(/.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
✓	85.2%	(/.f64 #s(literal 1 binary64) N)
	22.9%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) (log.f64 N))
	96.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 N #s(literal 1/2 binary64)) N) (+.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)))) N)
	26.7%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	94.9%	(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	95.2%	(log1p.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 N))))
	9.8%	#s(literal 2 binary64)

Compiler

Compiled 1124 to 443 computations (60.6% saved)

regimes29.0ms (0.3%)

Counts

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

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Calls

2 calls:

13.0ms	N
12.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.8%	1	`N`
99.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes22.0ms (0.3%)

Counts

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

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
97.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.2%	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 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
93.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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:

2.0ms

Results

Accuracy	Segments	Branch
85.2%	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)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

84×	`unsub-neg_binary64`
66×	`neg-mul-1_binary64`
60×	`distribute-lft-neg-in_binary64`
44×	`neg-sub0_binary64`
36×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	35
1	30	35
2	50	35
3	67	35
4	96	35
5	132	35
6	164	35
7	225	35
8	287	35
9	310	35
10	314	35
11	315	35

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)))
(/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #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
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 N #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) N)))
(/.f64 #s(literal 1 binary64) (+.f64 N (-.f64 #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)

soundness1.9s (21.3%)

Rules

3696×	`-lowering-.f32`
3696×	`-lowering-.f64`
3118×	`-lowering-.f32`
3118×	`-lowering-.f64`
2540×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	288	2095
1	889	1873
2	2488	1689
3	7639	1689
0	8046	1689
0	88	580
1	280	496
2	738	478
3	2062	472
4	6707	472
0	8326	472
0	9	19
1	19	19
2	31	19
3	82	19
4	276	19
5	828	15
6	2773	15
0	8415	15
0	23	115
1	90	115
2	365	115
3	1599	115
4	4964	115
0	8093	115
0	225	1966
1	673	1759
2	1911	1694
3	5920	1691
0	8657	1691
0	47	196
1	196	187
2	864	151
3	5352	150
0	8710	150

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

Compiler

Compiled 78 to 54 computations (30.8% saved)

preprocess41.0ms (0.5%)

Compiler: Compiled 98 to 58 computations (40.8% 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	19	35
1	30	35
2	50	35
3	67	35
4	96	35
5	132	35
6	164	35
7	225	35
8	287	35
9	310	35
10	314	35
11	315	35

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	19	35
1	30	35
2	50	35
3	67	35
4	96	35
5	132	35
6	164	35
7	225	35
8	287	35
9	310	35
10	314	35
11	315	35

analyze0.0ms (0%)

sample1.8s (20.3%)

preprocess49.0ms (0.6%)

explain239.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.2%)

localize346.0ms (3.9%)

series82.0ms (0.9%)

rewrite206.0ms (2.3%)

simplify206.0ms (2.3%)

eval57.0ms (0.6%)

prune26.0ms (0.3%)

simplify7.0ms (0.1%)

localize317.0ms (3.6%)

series9.0ms (0.1%)

rewrite267.0ms (3%)

simplify196.0ms (2.2%)

eval128.0ms (1.4%)

prune125.0ms (1.4%)

simplify146.0ms (1.7%)

localize278.0ms (3.2%)

series10.0ms (0.1%)

rewrite311.0ms (3.5%)

simplify285.0ms (3.2%)

eval239.0ms (2.7%)

prune166.0ms (1.9%)

simplify111.0ms (1.3%)

localize415.0ms (4.7%)

series15.0ms (0.2%)

rewrite238.0ms (2.7%)

simplify248.0ms (2.8%)

eval152.0ms (1.7%)

prune131.0ms (1.5%)

regimes29.0ms (0.3%)

regimes22.0ms (0.3%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify16.0ms (0.2%)

soundness1.9s (21.3%)

preprocess41.0ms (0.5%)

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

Iter	Nodes	Cost
0	19	35
1	30	35
2	50	35
3	67	35
4	96	35
5	132	35
6	164	35
7	225	35
8	287	35
9	310	35
10	314	35
11	315	35