Metrics for logs (example 3.8)

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	23.7%	76.3%	0%	0%	0%	0
0%	0%	23.7%	76.3%	0%	0%	0%	1
50%	11.9%	11.9%	76.3%	0%	0%	0%	2
75%	17.8%	5.9%	76.3%	0%	0%	0%	3
87.5%	20.8%	3%	76.3%	0%	0%	0%	4
93.8%	22.2%	1.5%	76.3%	0%	0%	0%	5
96.9%	23%	0.7%	76.3%	0%	0%	0%	6
98.4%	23.3%	0.4%	76.3%	0%	0%	0%	7
99.2%	23.5%	0.2%	76.3%	0%	0%	0%	8
99.6%	23.6%	0.1%	76.3%	0%	0%	0%	9
99.8%	23.7%	0%	76.3%	0%	0%	0%	10
99.9%	23.7%	0%	76.3%	0%	0%	0%	11
100%	23.7%	0%	76.3%	0%	0%	0%	12

Compiler

Compiled 19 to 14 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-log: 1.0ms (64.4% of total)

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

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

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

const: 0.0ms (0% of total)

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

sample4.4s (63.7%)

Results

2.1s	5246×	1	valid
1.7s	2974×	2	valid
6.0ms	36×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-log: 1.4s (46.4% of total)

backward-pass: 481.0ms (15.8% of total)

ival-mult: 418.0ms (13.7% of total)

ival-add: 261.0ms (8.6% of total)

ival-sub: 229.0ms (7.5% of total)

ival->: 199.0ms (6.5% of total)

const: 48.0ms (1.6% of total)

Bogosity

preprocess220.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-define`
470×	`fma-neg`
276×	`sub-neg`
225×	`associate-+l-`
206×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	256
1	61	208
2	161	200
3	505	200
4	1745	196
5	3243	196
6	4066	196
7	4274	196
8	4290	196
9	4290	196
10	5234	196
11	5236	196
12	5236	196

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (-.f64 (.f64 (+.f64 (neg.f64 n) #s(literal 1 binary64)) (log.f64 (+.f64 (neg.f64 n) #s(literal 1 binary64)))) (.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) #s(literal 1 binary64))
(neg.f64 (-.f64 (-.f64 (.f64 (+.f64 (neg.f64 n) #s(literal 1 binary64)) (log.f64 (+.f64 (neg.f64 n) #s(literal 1 binary64)))) (.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) #s(literal 1 binary64)))

Outputs
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))
(-.f64 (-.f64 (.f64 (+.f64 (neg.f64 n) #s(literal 1 binary64)) (log.f64 (+.f64 (neg.f64 n) #s(literal 1 binary64)))) (.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) #s(literal 1 binary64))
(fma.f64 n (log.f64 (neg.f64 n)) (fma.f64 (-.f64 #s(literal 1 binary64) n) (log1p.f64 (neg.f64 n)) #s(literal -1 binary64)))
(neg.f64 (-.f64 (-.f64 (.f64 (+.f64 (neg.f64 n) #s(literal 1 binary64)) (log.f64 (+.f64 (neg.f64 n) #s(literal 1 binary64)))) (.f64 (neg.f64 n) (log.f64 (neg.f64 n)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 n (log.f64 (neg.f64 n)) (*.f64 (-.f64 #s(literal 1 binary64) n) (log1p.f64 (neg.f64 n)))))

explain527.0ms (7.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`
0	-	-	`(log.f64 (+.f64 n #s(literal 1 binary64)))`
0	-	-	`(*.f64 n (log.f64 n))`
0	-	-	`(log.f64 n)`
0	-	-	`(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))`
0	-	-	`(+.f64 n #s(literal 1 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))`
0	-	-	`n`

Results

251.0ms	268×	1024	valid
110.0ms	138×	512	valid
22.0ms	78×	256	valid
48.0ms	28×	2048	valid

Compiler

Compiled 122 to 76 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 300.0ms

ival-log: 166.0ms (55.2% of total)

ival-add: 69.0ms (23% of total)

ival-mult: 41.0ms (13.6% of total)

ival-sub: 18.0ms (6% of total)

const: 6.0ms (2% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.5%	(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
▶	30.9%	(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))

Status

Accuracy

Program

▶

1.5%

(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))

▶

30.9%

(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize287.0ms (4.1%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
✓	99.6%	(*.f64 n (log.f64 n))
✓	99.6%	(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
✓	3.2%	(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))
✓	100.0%	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))
✓	100.0%	(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))
✓	5.5%	(-.f64 (log1p.f64 n) (log.f64 n))

Results

150.0ms	134×	1024	valid
44.0ms	67×	512	valid
12.0ms	37×	256	valid
29.0ms	18×	2048	valid

Compiler

Compiled 84 to 38 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-log: 99.0ms (44.2% of total)

composed: 43.0ms (19.2% of total)

ival-add: 42.0ms (18.7% of total)

ival-mult: 24.0ms (10.7% of total)

ival-sub: 13.0ms (5.8% of total)

const: 4.0ms (1.8% of total)

series161.0ms (2.3%)

Counts

7 → 80

Calls

Call 1

Inputs
#<alt (-.f64 (log1p.f64 n) (log.f64 n))>
#<alt (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))>
#<alt (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))>
#<alt (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))>
#<alt (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))>
#<alt (*.f64 n (log.f64 n))>
#<alt (-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) (log.f64 n))>
#<alt (-.f64 n (log.f64 n))>
#<alt (-.f64 (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) n))) (log.f64 n))>
#<alt (-.f64 (.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (-.f64 (*.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64))))) (log.f64 n))>
#<alt (/.f64 #s(literal 1 binary64) n)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) n)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) n)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) n)>
#<alt (/.f64 #s(literal 1 binary64) n)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) n))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) n)) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 n)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (*.f64 #s(literal 1/2 binary64) n)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) n)))))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n))))>
#<alt (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 n))))>
#<alt (.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (*.f64 #s(literal 1/2 binary64) n))))>
#<alt (.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) n))))))>
#<alt (.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 n (-.f64 (*.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n)))))>
#<alt (*.f64 n (-.f64 #s(literal 1 binary64) (log.f64 n)))>
#<alt (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n)) (log.f64 n)))>
#<alt (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) n)))) (log.f64 n)))>
#<alt (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 n (-.f64 (.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)))))) (log.f64 n)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n)))))>
#<alt n>
#<alt (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n)))>
#<alt (.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) n)))))>
#<alt (.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 n (-.f64 (.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 n (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) n)) (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 n (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)))))>
#<alt (.f64 n (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))>
#<alt (.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) n)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) n)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n))))) n)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))>
#<alt (.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))>
#<alt (.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))>
#<alt (.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n)) (log.f64 n))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) n)))) (log.f64 n))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n))))>

Calls

21 calls:

Time	Variable		Point	Expression
88.0ms	n	@	-inf	(* n (log n))
45.0ms	n	@	0	(* n (log n))
6.0ms	n	@	inf	(* n (log n))
1.0ms	n	@	-inf	(- (log (+ 1 n)) (log n))
1.0ms	n	@	-inf	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite334.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1027×	`log1p-expm1-u`
1027×	`expm1-log1p-u`
574×	`fma-neg`
137×	`add-cube-cbrt`
136×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	241
1	315	237
2	4329	237

Stop Event

1×	node limit

Counts

7 → 327

Calls

Call 1

Inputs
(-.f64 (log1p.f64 n) (log.f64 n))
(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))
(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(*.f64 n (log.f64 n))
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))

Outputs
(+.f64 (log1p.f64 n) (neg.f64 (log.f64 n)))
(+.f64 (log1p.f64 n) (*.f64 (neg.f64 (log.f64 n)) #s(literal 1 binary64)))
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) #s(literal 1 binary64) (log.f64 n)))
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) #s(literal 2 binary64)) (log.f64 n)))
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))
(+.f64 (neg.f64 (log.f64 n)) (log1p.f64 n))
(-.f64 (log1p.f64 n) (log.f64 n))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 n) (log.f64 n)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n))))) (/.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (+.f64 (log1p.f64 n) (log.f64 n))) (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (log1p.f64 n) (log.f64 n))))
(*.f64 (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 n) (log.f64 n)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 n) (log.f64 n))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))) (-.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (*.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)))) (-.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 n) (log.f64 n)) (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (*.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (+.f64 (log1p.f64 n) (log.f64 n)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (*.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 n) (log.f64 n))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))) (.f64 (log1p.f64 n) (neg.f64 (log.f64 n))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n)))) (-.f64 (log1p.f64 n) (neg.f64 (log.f64 n))))
(pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 n #s(literal 1 binary64)) n))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (log1p.f64 n) (log.f64 n)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 n) (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 n) (log.f64 n))) #s(literal 1 binary64)))
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (neg.f64 (log.f64 n)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (neg.f64 (log.f64 n)))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (cbrt.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64))) (neg.f64 (log.f64 n)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 n)) (neg.f64 (log.f64 n)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (neg.f64 (log.f64 n)))
(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)))
(+.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 (log1p.f64 n) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (log1p.f64 n))
(-.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 2 binary64)) (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 1 binary64))))
(*.f64 (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64)))))
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(+.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) (+.f64 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))) #s(literal -1 binary64)))
(+.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) (-.f64 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))) #s(literal 1 binary64)))
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))
(-.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64)))))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64))))))
(.f64 (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64)))))
(.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (*.f64 n (log.f64 n)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (*.f64 n (log.f64 n))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64))) (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (*.f64 n (log.f64 n))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (*.f64 n (log.f64 n))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 2 binary64)) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (+.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(pow.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (-.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal -1 binary64))
(fma.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log1p.f64 n)) (+.f64 n #s(literal 1 binary64))) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n)))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (*.f64 n (log.f64 n)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 n #s(literal 1 binary64))) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (cbrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (*.f64 (sqrt.f64 (log1p.f64 n)) (+.f64 n #s(literal 1 binary64))) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n)))) (sqrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n)))) (.f64 (sqrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (*.f64 n (log.f64 n)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 n #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 n #s(literal 1 binary64))) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 n (log.f64 n)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 n (log.f64 n)) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (.f64 n (log.f64 n)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (*.f64 n (log.f64 n)))) #s(literal -1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (.f64 n (log.f64 n)))) (-.f64 (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (.f64 n (log.f64 n)))) #s(literal -1 binary64))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 n #s(literal 1 binary64))) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (+.f64 n #s(literal 1 binary64))) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (cbrt.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)))) (cbrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))

simplify196.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

425×	`fma-define`
408×	`sub-neg`
245×	`associate-r`
245×	`+-commutative`
244×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	793	22414
1	1954	20815
2	6800	20803

Stop Event

1×	node limit

Counts

407 → 453

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) (log.f64 n))
(neg.f64 (log.f64 n))
(-.f64 n (log.f64 n))
(-.f64 (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) n))) (log.f64 n))
(fma.f64 n (fma.f64 n #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 (log.f64 n)))
(-.f64 (.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (-.f64 (*.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64))))) (log.f64 n))
(fma.f64 n (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 n)))
(/.f64 #s(literal 1 binary64) n)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n)) n)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n) (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))))) n)
(/.f64 #s(literal 1 binary64) n)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) (neg.f64 n))) (neg.f64 n))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) n)) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) n) #s(literal -1/3 binary64)) (neg.f64 n))) (neg.f64 n))) (neg.f64 n))
#s(literal -1 binary64)
(-.f64 (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 n)))) #s(literal 1 binary64))
(fma.f64 n (-.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64))
(-.f64 (.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (*.f64 #s(literal 1/2 binary64) n)))) #s(literal 1 binary64))
(fma.f64 n (-.f64 (fma.f64 n #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 n)) #s(literal -1 binary64))
(-.f64 (.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) n)))))) #s(literal 1 binary64))
(fma.f64 n (-.f64 (fma.f64 n (fma.f64 n #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(log.f64 n)
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log.f64 n) (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 2 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))
(+.f64 (+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/12 binary64) n)) n) n))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 #s(literal -1 binary64) n))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/12 binary64) n)) (neg.f64 n))) n))
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 n))))
(*.f64 n (-.f64 #s(literal 1 binary64) (log.f64 n)))
(.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (*.f64 #s(literal 1/2 binary64) n))))
(*.f64 n (-.f64 (fma.f64 n #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 n)))
(.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) n))))))
(*.f64 n (-.f64 (fma.f64 n (fma.f64 n #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 n)))
(.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 n (-.f64 (*.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64))))))))
(*.f64 n (-.f64 (fma.f64 n (fma.f64 n (fma.f64 n #s(literal 1/12 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))
(+.f64 (log.f64 n) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log.f64 n) (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/12 binary64) n)) n) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n)))))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n)))))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/12 binary64) n)) (neg.f64 n))) n)))
(*.f64 n (-.f64 #s(literal 1 binary64) (log.f64 n)))
(.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n)) (log.f64 n)))
(*.f64 n (-.f64 (fma.f64 n #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 n)))
(.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) n)))) (log.f64 n)))
(*.f64 n (-.f64 (fma.f64 n (fma.f64 n #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 n)))
(.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 n (-.f64 (.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)))))) (log.f64 n)))
(*.f64 n (-.f64 (fma.f64 n (fma.f64 n (fma.f64 n #s(literal 1/12 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))
(+.f64 (log.f64 n) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log.f64 n) (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/12 binary64) n)) n) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n)))))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/6 binary64)) n)) #s(literal 1/2 binary64)) n)))))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/12 binary64) n)) (neg.f64 n))) n)))
n
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n)))
(*.f64 n (fma.f64 n #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) n)))))
(*.f64 n (fma.f64 n (fma.f64 n #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 n (-.f64 (.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)))))))
(*.f64 n (fma.f64 n (fma.f64 n (fma.f64 n #s(literal 1/12 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))))
(*.f64 n (log.f64 n))
(.f64 n (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) n)) (/.f64 #s(literal 1 binary64) n))))
(*.f64 n (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (log.f64 n) (/.f64 (log.f64 n) n))))
(.f64 n (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)))))
(*.f64 n (+.f64 (log.f64 n) (+.f64 (/.f64 (log.f64 n) n) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64)))))))
(.f64 n (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))
(*.f64 n (+.f64 (log.f64 n) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64)))) (+.f64 (/.f64 (log.f64 n) n) (/.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 3 binary64)))))))
(.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
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(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 #s(literal -1 binary64) (log1p.f64 n)))
(fma.f64 (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 #s(literal -1 binary64) (log1p.f64 n)))
(fma.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 n (log.f64 n)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 n (log.f64 n)) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (.f64 n (log.f64 n)))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 n (log.f64 n)) #s(literal 3 binary64))) (fma.f64 n (.f64 (log.f64 n) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (.f64 n (log.f64 n)))) (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (*.f64 n (log.f64 n)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64))) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (*.f64 n (log.f64 n)))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (.f64 n (log.f64 n)))) (-.f64 (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (.f64 n (log.f64 n)))) #s(literal -1 binary64))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 #s(literal -1 binary64) (log1p.f64 n)))
(fma.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 n #s(literal 1 binary64))) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 #s(literal -1 binary64) (log1p.f64 n)))
(fma.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (+.f64 n #s(literal 1 binary64))) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 #s(literal -1 binary64) (log1p.f64 n)))
(fma.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (cbrt.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)))) (cbrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64))) (.f64 (+.f64 n #s(literal 1 binary64)) (cbrt.f64 (log1p.f64 n)))) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 #s(literal -1 binary64) (log1p.f64 n)))

eval149.0ms (2.1%)

Compiler: Compiled 9765 to 4815 computations (50.7% saved)

prune59.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	451	2	453
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	453	2	455

Accuracy

100.0%

Counts

455 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 n)
▶	1.6%	#s(literal -1 binary64)

Compiler

Compiled 5 to 4 computations (20% saved)

localize23.0ms (0.3%)

Results

18.0ms

256×

256

valid

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-log: 5.0ms (100.5% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	0	0
Total	2	2

Accuracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 n)
✓	1.6%	#s(literal -1 binary64)

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(log.f64 n)
(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) #s(literal -1 binary64))

Outputs
(log.f64 n)

Calls

3 calls:

2.0ms

1.0ms

(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))

1.0ms

(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))

Results

Accuracy	Segments	Branch
100.0%	1	`n`
100.0%	1	`(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))`
100.0%	1	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`n`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 n)
#s(literal -1 binary64)

Outputs
(log.f64 n)
#s(literal -1 binary64)

soundness503.0ms (7.2%)

Rules

1186×	`fma-define`
470×	`fma-neg`
425×	`fma-define`
408×	`sub-neg`
276×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	793	22414
1	1954	20815
2	6800	20803
0	23	256
1	61	208
2	161	200
3	505	200
4	1745	196
5	3243	196
6	4066	196
7	4274	196
8	4290	196
9	4290	196
10	5234	196
11	5236	196
12	5236	196

Stop Event

1×	done
1×	saturated
1×	node limit

Compiler

Compiled 284 to 174 computations (38.7% saved)

preprocess63.0ms (0.9%)

Compiler: Compiled 90 to 70 computations (22.2% saved)

logs (example 3.8)

analyze3.0ms (0%)

sample4.4s (63.7%)

preprocess220.0ms (3.1%)

explain527.0ms (7.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize287.0ms (4.1%)

series161.0ms (2.3%)

rewrite334.0ms (4.8%)

simplify196.0ms (2.8%)

eval149.0ms (2.1%)

prune59.0ms (0.9%)

localize23.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

simplify2.0ms (0%)

soundness503.0ms (7.2%)

preprocess63.0ms (0.9%)

end0.0ms (0%)

Profiling