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 12 computations (36.8% saved)

sample3.4s (58.1%)

Results

2.8s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-log: 1.1s (50.8% of total)

ival-mult: 300.0ms (14.2% of total)

ival-sub: 252.0ms (11.9% of total)

ival-add: 210.0ms (9.9% of total)

adjust: 201.0ms (9.5% of total)

ival->: 45.0ms (2.1% of total)

const: 25.0ms (1.2% of total)

ival-assert: 9.0ms (0.4% of total)

Bogosity

preprocess220.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

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

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)))))

explain286.0ms (4.8%)

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`	cancellation	255	0
`-.f64`	`(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))`	nan-rescue	1	0
↳	`(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))`	overflow	1
↳	`(*.f64 n (log.f64 n))`	overflow	1

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Results

189.0ms

512×

valid

Compiler

Compiled 138 to 40 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-log: 51.0ms (44.1% of total)

ival-mult: 26.0ms (22.5% of total)

adjust: 17.0ms (14.7% of total)

ival-sub: 11.0ms (9.5% of total)

ival-add: 8.0ms (6.9% of total)

const: 1.0ms (0.9% of total)

ival-assert: 1.0ms (0.9% of total)

ival-true: 1.0ms (0.9% of total)

eval1.0ms (0%)

Compiler: Compiled 39 to 17 computations (56.4% saved)

prune1.0ms (0%)

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)))
▶	30.7%	(+.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)))

▶

30.7%

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

Compiler

Compiled 28 to 16 computations (42.9% saved)

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

654×	`fma-define`
639×	`fmm-def`
112×	`associate-+l-`
110×	`sub-neg`
105×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	254
1	44	254
2	84	254
3	202	254
4	423	254
5	781	254
6	1260	254
7	2070	254
8	2509	254
9	2633	254
10	2636	254

Stop Event

1×

saturated

Calls

Call 1

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

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

localize364.0ms (6.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 n)
✓	accuracy	99.5%	(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
✓	accuracy	99.5%	(*.f64 n (log.f64 n))
✓	accuracy	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)))
✓	accuracy	100.0%	(log1p.f64 n)
✓	accuracy	100.0%	(log.f64 n)
✓	accuracy	5.1%	(-.f64 (log1p.f64 n) (log.f64 n))
✓	accuracy	4.0%	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) #s(literal -1 binary64))

Results

183.0ms	167×	1	valid
154.0ms	89×	2	valid

Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-log: 73.0ms (37.4% of total)

ival-log1p: 64.0ms (32.8% of total)

adjust: 26.0ms (13.3% of total)

ival-fma: 8.0ms (4.1% of total)

ival-mult: 8.0ms (4.1% of total)

ival-add: 8.0ms (4.1% of total)

ival-sub: 6.0ms (3.1% of total)

const: 1.0ms (0.5% of total)

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

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

series85.0ms (1.4%)

Counts

10 → 112

Calls

Call 1

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

Outputs
#<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 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 #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))>
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#<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 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 #s(literal 1 binary64) n)>
#<alt (+.f64 #s(literal 1 binary64) n)>
#<alt (+.f64 #s(literal 1 binary64) n)>
#<alt n>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))>
#<alt n>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.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 #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 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))>
#<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 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))>
#<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 #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))))>
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#<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

30 calls:

Time	Variable		Point	Expression
45.0ms	n	@	0	(* n (log n))
17.0ms	n	@	-inf	(* n (log n))
7.0ms	n	@	-inf	(+ (* n (- (log (+ 1 n)) (log n))) -1)
6.0ms	n	@	inf	(* n (log n))
1.0ms	n	@	-inf	(+ (log (+ 1 n)) (+ (* n (- (log (+ 1 n)) (log n))) -1))

rewrite379.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1025×	`log1p-expm1-u`
1025×	`expm1-log1p-u`
493×	`fmm-def`
134×	`add-cube-cbrt`
133×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	219
1	304	219
2	4316	219

Stop Event

1×	node limit

Counts

10 → 289

Calls

Call 1

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

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

simplify212.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

422×	`sub-neg`
357×	`fma-define`
275×	`associate-r`
264×	`associate-l`
256×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	764	16257
1	1934	15221
2	6554	15001

Stop Event

1×	node limit

Counts

401 → 490

Calls

Call 1

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

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

eval98.0ms (1.7%)

Compiler: Compiled 12196 to 2041 computations (83.3% saved)

prune69.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	611	2	613
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	613	2	615

Accuracy

100.0%

Counts

615 → 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)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(log.f64 n)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13

Stop Event

1×

saturated

Calls

Call 1

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

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

localize61.0ms (1%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(log.f64 n)

Results

57.0ms

256×

valid

Compiler

Compiled 6 to 5 computations (16.7% saved)

Precisions

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

ival-log: 3.0ms (64.1% of total)

const: 1.0ms (21.4% of total)

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

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

eval3.0ms (0%)

Compiler: Compiled 121 to 48 computations (60.3% saved)

prune4.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	22	2	24

Accuracy

100.0%

Counts

24 → 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 50 to 20 computations (60% saved)

regimes7.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Calls

3 calls:

2.0ms

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

2.0ms

(-.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 18 computations (43.8% saved)

regimes2.0ms (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:

1.0ms

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)

soundness556.0ms (9.4%)

Rules

1186×	`fma-define`
470×	`fmm-def`
422×	`sub-neg`
357×	`fma-define`
275×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	764	16257
1	1934	15221
2	6554	15001
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×	done
1×	saturated
1×	node limit

Compiler

Compiled 228 to 58 computations (74.6% saved)

preprocess32.0ms (0.5%)

Compiler: Compiled 90 to 58 computations (35.6% saved)

logs (example 3.8)

analyze3.0ms (0%)

sample3.4s (58.1%)

preprocess220.0ms (3.7%)

explain286.0ms (4.8%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify86.0ms (1.5%)

localize364.0ms (6.2%)

series85.0ms (1.4%)

rewrite379.0ms (6.4%)

simplify212.0ms (3.6%)

eval98.0ms (1.7%)

prune69.0ms (1.2%)

simplify6.0ms (0.1%)

localize61.0ms (1%)

eval3.0ms (0%)

prune4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

simplify2.0ms (0%)

soundness556.0ms (9.4%)

preprocess32.0ms (0.5%)

end0.0ms (0%)

Profiling