Metrics for logs (example 3.8)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	23.7%	76.3%	0%	0%	0%	0
100%	23.7%	0%	76.3%	0%	0%	0%	1

Compiler

Compiled 19 to 14 computations (26.3% saved)

Precisions

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

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-log, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival->, time spent: 0.0ms, 0.0% of total-time

sample3.7s (56.3%)

Results

2.2s	4279×	1024	valid
672.0ms	2205×	512	valid
246.0ms	1457×	256	valid
325.0ms	314×	2048	valid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

Operation ival-log, time spent: 1.1s, 46.0% of total-time

Operation ival-mult, time spent: 415.0ms, 18.0% of total-time

Operation ival-add, time spent: 317.0ms, 14.0% of total-time

Operation ival-sub, time spent: 267.0ms, 11.0% of total-time

Operation ival->, time spent: 173.0ms, 7.0% of total-time

Operation const, time spent: 97.0ms, 4.0% of total-time

Bogosity

preprocess737.0ms (11.2%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-define`
470×	`fmm-def`
267×	`sub-neg`
221×	`associate-+l-`
199×	`distribute-rgt-in`

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`

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	3247	196
6	4060	196
7	4277	196
8	4293	196
9	4293	196
10	5237	196
11	5239	196
12	5239	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 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (+.f64 (.f64 n (log.f64 n)) #s(literal 1 binary64)))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.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 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (+.f64 (.f64 n (log.f64 n)) #s(literal 1 binary64)))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.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))
(+.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (neg.f64 n)) (log.f64 (+.f64 #s(literal 1 binary64) (neg.f64 n)))) (.f64 n (log.f64 (neg.f64 n)))) #s(literal -1 binary64))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) n) (log1p.f64 (neg.f64 n)) (fma.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)))
(neg.f64 (+.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (neg.f64 n)) (log.f64 (+.f64 #s(literal 1 binary64) (neg.f64 n)))) (.f64 n (log.f64 (neg.f64 n)))) #s(literal -1 binary64)))
(neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) n) (log1p.f64 (neg.f64 n)) (*.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)))))
(-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) n) (log1p.f64 (neg.f64 n)) (*.f64 n (log.f64 (neg.f64 n)))))

Compiler

Compiled 122 to 76 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 332.0ms

Operation ival-log, time spent: 144.0ms, 43.0% of total-time

Operation ival-mult, time spent: 106.0ms, 32.0% of total-time

Operation ival-add, time spent: 56.0ms, 17.0% of total-time

Operation ival-sub, time spent: 19.0ms, 6.0% of total-time

Operation const, time spent: 8.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 39 to 23 computations (41% saved)

prune6.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.1%	(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (+.f64 (.f64 n (log.f64 n)) #s(literal 1 binary64)))
▶	30.9%	(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64)))

Status

Accuracy

Program

▶

3.1%

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

▶

30.9%

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize384.0ms (5.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
✓	99.6%	(*.f64 n (log.f64 n))
✓	3.1%	(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (+.f64 (.f64 n (log.f64 n)) #s(literal 1 binary64)))
✓	100.0%	(log1p.f64 n)
✓	5.6%	(-.f64 (log1p.f64 n) (log.f64 n))
✓	4.3%	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64))

Compiler

Compiled 76 to 35 computations (53.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

Operation ival-log, time spent: 130.0ms, 43.0% of total-time

Operation composed, time spent: 69.0ms, 23.0% of total-time

Operation ival-add, time spent: 51.0ms, 17.0% of total-time

Operation ival-mult, time spent: 38.0ms, 13.0% of total-time

Operation ival-sub, time spent: 9.0ms, 3.0% of total-time

Operation const, time spent: 6.0ms, 2.0% of total-time

series71.0ms (1.1%)

Counts

6 → 68

Calls

Call 1

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

Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (+.f64 n (.f64 #s(literal -1 binary64) (log.f64 n)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) n))))) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal -1/2 binary64) n)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))) n)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))) n)>
#<alt (/.f64 #s(literal -1/2 binary64) n)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) n))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n))) n))) n))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) n))) n))) n))) n))>
#<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 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 (*.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)))))>
#<alt (.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (-.f64 (.f64 n (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) n))) #s(literal 1/2 binary64)))))>
#<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 binary64) n))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 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 binary64) n) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 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 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 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #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 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 #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))))>
#<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 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)))))>

Calls

18 calls:

Time	Variable		Point	Expression
41.0ms	n	@	0	(* n (log n))
15.0ms	n	@	-inf	(* n (log n))
6.0ms	n	@	inf	(* n (log n))
1.0ms	n	@	inf	(+ (* n (- (log (+ 1 n)) (log n))) -1)
1.0ms	n	@	-inf	(+ (* n (- (log (+ 1 n)) (log n))) -1)

rewrite280.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`log1p-expm1-u`
876×	`expm1-log1p-u`
838×	`fma-define`
417×	`fmm-def`
119×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	148
1	275	148
2	3740	148

Stop Event

1×	node limit

Counts

6 → 276

Calls

Call 1

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

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

simplify238.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

706×	`fmm-def`
505×	`times-frac`
324×	`sub-neg`
266×	`fma-define`
230×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	699	17308
1	1789	15735
2	5407	15702

Stop Event

1×	node limit

Counts

344 → 477

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal -1 binary64) (.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (.f64 n (+.f64 n (.f64 #s(literal -1 binary64) (log.f64 n)))) #s(literal 1 binary64))
(-.f64 (.f64 n (+.f64 (.f64 #s(literal -1 binary64) (log.f64 n)) (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) n)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n)
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))) n)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))) n)
(/.f64 #s(literal -1/2 binary64) n)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) n))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n))) n))) n))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) n))) n))) n))) n))
(*.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))
n
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) n)))
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (-.f64 (*.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64)))))
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (-.f64 (.f64 n (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) n))) #s(literal 1/2 binary64)))))
(*.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 binary64) n))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 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 binary64) n) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64))))
(+.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)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) (/.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 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #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 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))))
#s(literal -1 binary64)
(-.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal 1 binary64))
(-.f64 (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n)) (log.f64 n))) #s(literal 1 binary64))
(-.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))
(*.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))))
(-.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 (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)) (+.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 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 (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 n (log.f64 (/.f64 #s(literal 1 binary64) n))))
(.f64 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))))
(.f64 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))))
(.f64 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n))))
(.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
(.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
(.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
(.f64 n (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
n
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n)))
(.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) n)))))
(.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 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) 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) (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 (+.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 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
(.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)))))
(.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)))))
(.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)))))
(+.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))
(+.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) #s(literal -1 binary64)) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64)) #s(literal 2 binary64)))
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(fma.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)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 n)) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 n)) (log1p.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 n)) (.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 n)) (log1p.f64 n)) (.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #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 (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #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 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64) (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 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 2 binary64)) (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 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (pow.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (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 2 binary64)) (pow.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64) (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 2 binary64)) (pow.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 2 binary64)) (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 2 binary64)) (pow.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))) (cbrt.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))))
(fma.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n)))) (cbrt.f64 (-.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) (.f64 n (log.f64 n))))) (cbrt.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 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (*.f64 (log1p.f64 n) (+.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 (+.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 (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64) (fma.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 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.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 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (*.f64 (log1p.f64 n) (+.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) (pow.f64 (cbrt.f64 (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 n #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (log1p.f64 n) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 n))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 n)) (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))))
(fma.f64 (.f64 (log1p.f64 n) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 n))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 n)) (.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (pow.f64 (cbrt.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)) (pow.f64 (cbrt.f64 (log1p.f64 n)) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 n)) (.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #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 (.f64 (+.f64 n #s(literal 1 binary64)) (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (.f64 (neg.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 n (log.f64 n)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)))
(log.f64 (pow.f64 n n))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 n n) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))
(log1p.f64 (-.f64 (pow.f64 n n) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (.f64 (log.f64 (.f64 n (log.f64 n))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 n (log.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 n (log.f64 n) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 n (log.f64 n)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 n (log.f64 n)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 n (log.f64 n))))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 n (log.f64 n) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(+.f64 (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(+.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(+.f64 (*.f64 (log1p.f64 n) n) (log1p.f64 n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (log1p.f64 n) (+.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))) (-.f64 (fma.f64 n n #s(literal 1 binary64)) n))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (+.f64 n #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (log1p.f64 n)) (-.f64 (fma.f64 n n #s(literal 1 binary64)) n))
(/.f64 (*.f64 (fma.f64 n n #s(literal -1 binary64)) (log1p.f64 n)) (+.f64 n #s(literal -1 binary64)))
(pow.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (+.f64 n #s(literal 1 binary64)) (+.f64 n #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) #s(literal 1 binary64)))
(fma.f64 n (log1p.f64 n) (log1p.f64 n))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (*.f64 n (log1p.f64 n)))
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (*.f64 (log1p.f64 n) n))
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (*.f64 (log1p.f64 n) n))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) #s(literal 2 binary64)) (*.f64 n (log1p.f64 n)))
(fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) #s(literal 2 binary64)) (*.f64 (log1p.f64 n) n))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))

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

eval228.0ms (3.5%)

Compiler: Compiled 11761 to 6262 computations (46.8% saved)

prune79.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	538	2	540
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	540	2	542

Accuracy

100.0%

Counts

542 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.0%	(+.f64 (log1p.f64 n) #s(literal -1 binary64))
▶	100.0%	(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))

Compiler

Compiled 12 to 9 computations (25% saved)

localize53.0ms (0.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
	100.0%	(log1p.f64 n)

Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

Operation ival-log, time spent: 10.0ms, 36.0% of total-time

Operation composed, time spent: 7.0ms, 25.0% of total-time

Operation ival-div, time spent: 5.0ms, 18.0% of total-time

Operation ival-add, time spent: 4.0ms, 14.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

eval25.0ms (0.4%)

Compiler: Compiled 763 to 583 computations (23.6% saved)

prune8.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	62	3	65

Accuracy

100.0%

Counts

65 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
▶	31.0%	(+.f64 (log.f64 n) #s(literal -1 binary64))
▶	5.1%	(+.f64 n #s(literal -1 binary64))

Compiler

Compiled 16 to 12 computations (25% saved)

localize32.0ms (0.5%)

Compiler: Compiled 15 to 9 computations (40% saved)
Precisions: Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-log, time spent: 5.0ms, 57.0% of total-time
Operation ival-add, time spent: 3.0ms, 34.0% of total-time
Operation const, time spent: 1.0ms, 11.0% of total-time

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	1	1
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
✓	31.0%	(+.f64 (log.f64 n) #s(literal -1 binary64))
✓	5.1%	(+.f64 n #s(literal -1 binary64))

Compiler

Compiled 75 to 47 computations (37.3% saved)

regimes5.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(+.f64 n #s(literal -1 binary64))
(+.f64 (log.f64 n) #s(literal -1 binary64))
(+.f64 (log1p.f64 n) #s(literal -1 binary64))
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (+.f64 (.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 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64)))

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

Calls

3 calls:

2.0ms

1.0ms

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

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))

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)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
31.0%	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
(+.f64 n #s(literal -1 binary64))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
5.1%	1	`n`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	16	47

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (log.f64 n) #s(literal -1 binary64))
(+.f64 n #s(literal -1 binary64))

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

Compiler

Compiled 16 to 12 computations (25% saved)

soundness671.0ms (10.2%)

Rules

1186×	`fma-define`
706×	`fmm-def`
505×	`times-frac`
470×	`fmm-def`
324×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	699	17308
1	1789	15735
2	5407	15702
0	23	256
1	61	208
2	161	200
3	505	200
4	1745	196
5	3247	196
6	4060	196
7	4277	196
8	4293	196
9	4293	196
10	5237	196
11	5239	196
12	5239	196

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 319 to 194 computations (39.2% saved)

end0.0ms (0%)

preprocess56.0ms (0.9%)

Compiler: Compiled 110 to 82 computations (25.5% saved)

analyze0.0ms (0%)

sample3.7s (56.3%)

preprocess737.0ms (11.2%)

eval1.0ms (0%)

prune6.0ms (0.1%)

localize384.0ms (5.8%)

series71.0ms (1.1%)

rewrite280.0ms (4.2%)

simplify238.0ms (3.6%)

eval228.0ms (3.5%)

prune79.0ms (1.2%)

localize53.0ms (0.8%)

eval25.0ms (0.4%)

prune8.0ms (0.1%)

localize32.0ms (0.5%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify3.0ms (0%)

soundness671.0ms (10.2%)

end0.0ms (0%)

preprocess56.0ms (0.9%)

Profiling