Metrics for qlog (example 3.10)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
25%	12.5%	37.5%	50%	0%	0%	0%	3
62.5%	31.2%	18.7%	50%	0%	0%	0%	4
81.3%	40.6%	9.4%	50%	0%	0%	0%	5
90.6%	45.3%	4.7%	50%	0%	0%	0%	6
95.3%	47.6%	2.3%	50%	0%	0%	0%	7
97.7%	48.8%	1.2%	50%	0%	0%	0%	8
98.8%	49.4%	0.6%	50%	0%	0%	0%	9
99.4%	49.7%	0.3%	50%	0%	0%	0%	10
99.7%	49.8%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0.1%	50%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.7s (33.1%)

Memory

51.6MiB live, 3 773.0MiB allocated

Samples

1.3s	2 984×	2	valid
1.0s	4 927×	1	valid
23.0ms	345×	0	valid

Precisions

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

ival-log: 1.1s (57% of total)

adjust: 261.0ms (13% of total)

ival-div: 208.0ms (10.4% of total)

ival-sub: 154.0ms (7.7% of total)

ival-fabs: 96.0ms (4.8% of total)

ival-log1p: 85.0ms (4.2% of total)

ival-<=: 48.0ms (2.4% of total)

exact: 6.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain225.0ms (2.7%)

Memory

-17.4MiB live, 186.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
252	-	1	(0.01022035665562542)	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
252	-	1	(0.01022035665562542)	`(log.f64 (-.f64 #s(literal 1 binary64) x))`
0	-	0	-	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	251	1
`log.f64`	`(log.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	251	1

Confusion

	Predicted +	Predicted -
+	247	0
-	4	5

Precision

0.9840637450199203

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	247	0	0
-	4	1	4

Precision?

0.9801587301587301

Recall?

1.0

Freqs

test

number	freq
0	5
2	251

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms	302×	1	valid
68.0ms	192×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-log: 62.0ms (62.9% of total)

adjust: 14.0ms (14.2% of total)

ival-div: 8.0ms (8.1% of total)

ival-sub: 7.0ms (7.1% of total)

ival-add: 3.0ms (3% of total)

ival-log1p: 3.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess19.0ms (0.2%)

Memory

-17.6MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`sub-neg`
32×	`lower-+.f32`
30×	`lower-+.f64`
22×	`lower--.f32`
20×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.6%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify5.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
cost-diff	64	(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) x))

Rules

32×	`lower-+.f32`
30×	`lower-+.f64`
22×	`lower--.f32`
20×	`lower--.f64`
16×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	12	25
1	17	25
2	21	25
3	26	25
4	33	25
5	41	25
6	51	25
7	65	25
8	69	25
0	69	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))

localize68.0ms (0.8%)

Memory

31.9MiB live, 70.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy	58.63586561443233	(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	58.637874440926836	(log.f64 (-.f64 #s(literal 1 binary64) x))

Samples

32.0ms	96×	2	valid
28.0ms	151×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-log: 31.0ms (63.3% of total)

adjust: 7.0ms (14.3% of total)

ival-div: 4.0ms (8.2% of total)

ival-sub: 4.0ms (8.2% of total)

ival-log1p: 2.0ms (4.1% of total)

ival-add: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

-30.7MiB live, 8.2MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -1/3 x) 1/2)) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (log (/ -1 x))) (/ 1 x)) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((log (+ 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (+ 1 x))
2.0ms	x	@	inf	((log (+ 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (+ 1 x))
1.0ms	x	@	0	((log (+ 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (+ 1 x))

Time

Variable

Point

Expression

3.0ms

-inf

((log (+ 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (+ 1 x))

2.0ms

inf

((log (+ 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (+ 1 x))

1.0ms

((log (+ 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (+ 1 x))

simplify154.0ms (1.9%)

Memory

37.4MiB live, 150.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 270×	`lower-fma.f64`
12 270×	`lower-fma.f32`
4 396×	`lower-+.f64`
4 396×	`lower-+.f32`
3 574×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1122
1	658	1000
2	2012	927
0	8310	900

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 57

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) x))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) x) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) x) x) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) (log.f64 x)))) x) (fma.f64 (/.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (.f64 x x)) (log.f64 x)) (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) (log.f64 x)))) (.f64 x x)) (log.f64 x)))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(-.f64 (-.f64 (+.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) x) x) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) (log.f64 x)))) (.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)) (fma.f64 (/.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (log.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (*.f64 (log.f64 x) (log.f64 x)))))))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)

rewrite134.0ms (1.6%)

Memory

-14.9MiB live, 181.9MiB allocated

Rules

3 056×	`lower-*.f64`
3 056×	`lower-*.f32`
2 824×	`lower-fma.f64`
2 824×	`lower-fma.f32`
2 298×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	23
1	41	23
2	245	23
3	2167	23
0	10440	15

Stop Event

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

Counts

5 → 842

Calls

Call 1

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

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

eval117.0ms (1.4%)

Memory: 10.9MiB live, 200.2MiB allocated
Compiler: Compiled 26 127 to 2 515 computations (90.4% saved)

prune25.0ms (0.3%)

Memory

-20.7MiB live, 67.2MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	889	10	899
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	889	11	900

Accuracy

100.0%

Counts

900 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.7%	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	6.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓	3.6%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	5.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
▶	4.8%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
	3.6%	(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	100.0%	(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
	98.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
▶	98.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
	98.4%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
▶	97.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 219 to 167 computations (23.7% saved)

simplify247.0ms (3%)

Memory

17.5MiB live, 210.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	64	(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	64	(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
cost-diff	0	(log1p.f64 (*.f64 (neg.f64 x) x))
cost-diff	0	(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
cost-diff	0	(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
cost-diff	13504	(/.f64 (log1p.f64 x) (log1p.f64 x))

Rules

18 520×	`lower-fma.f32`
18 506×	`lower-fma.f64`
3 300×	`lower-*.f32`
3 294×	`lower-*.f64`
2 476×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	220
0	65	212
1	97	212
2	146	212
3	288	212
4	622	212
5	1066	212
6	1547	212
7	2149	212
8	3370	212
9	4429	212
10	4700	212
11	4819	212
12	5135	212
13	5730	212
14	6458	212
15	7083	212
16	7582	212
17	7692	212
18	7692	212
0	8044	206

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(log1p.f64 x)
(/.f64 (log1p.f64 x) (log1p.f64 x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)

Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(log1p.f64 x)
(/.f64 (log1p.f64 x) (log1p.f64 x))
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log1p.f64 (neg.f64 x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log1p.f64 (neg.f64 x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)

localize221.0ms (2.7%)

Memory

-19.7MiB live, 269.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
accuracy	0.01171875	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.5663977811831756	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	58.633968190926836	(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.01171875	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
accuracy	0.015625	(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.6411222947278555	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	58.633968190926836	(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0	(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
accuracy	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
accuracy	0.6567717923048604	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
accuracy	1.2253805964224158	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
accuracy	0	(log1p.f64 x)
accuracy	0.00390625	(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
accuracy	0.0078125	(log1p.f64 (*.f64 (neg.f64 x) x))
accuracy	30.52457640055001	(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))

Samples

80.0ms	151×	1	valid
78.0ms	96×	2	valid
2.0ms	8×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 215 to 34 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-log: 31.0ms (24.4% of total)

ival-mult: 26.0ms (20.5% of total)

adjust: 22.0ms (17.3% of total)

ival-add: 15.0ms (11.8% of total)

ival-div: 10.0ms (7.9% of total)

ival-log1p: 8.0ms (6.3% of total)

const: 7.0ms (5.5% of total)

ival-sub: 6.0ms (4.7% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series18.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (log1p.f64 (.f64 (neg.f64 x) x)) (patch (log1p.f64 (.f64 (neg.f64 x) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -5/12 x) 1/2)) 1)) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1)) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (log1p.f64 (.f64 (neg.f64 x) x)) (patch (log1p.f64 (.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
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#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

simplify175.0ms (2.1%)

Memory

6.9MiB live, 154.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 790×	`lower-fma.f64`
10 790×	`lower-fma.f32`
4 816×	`lower-*.f64`
4 816×	`lower-*.f32`
4 810×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	5776
1	1180	5256
2	3780	5089
0	8632	4894

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 199

Calls

Call 1

Inputs
1
1
1
1
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* -1/2 x) 1)) 1)
-1
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
1
1
1
1
(- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
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(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 (neg.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64)))

rewrite167.0ms (2%)

Memory

7.9MiB live, 128.7MiB allocated

Rules

4 606×	`lower-/.f32`
4 600×	`lower-/.f64`
4 472×	`lower-fma.f32`
4 458×	`lower-fma.f64`
3 708×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	161
0	65	153
1	252	150
2	1705	150
0	8430	144

Stop Event

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

Counts

17 → 342

Calls

Call 1

Inputs
(/.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(log1p.f64 x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)

Outputs
#s(literal 1 binary64)
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(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x) x)
(+.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)) x)
(+.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))
(+.f64 x (.f64 x (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) x))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x))) (.f64 x (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x))))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 x (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (.f64 x (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) (.f64 x (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)))
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)))
(+.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) x)
(+.f64 (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)) x)
(+.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x))
(+.f64 x (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)))

eval92.0ms (1.1%)

Memory: -23.2MiB live, 132.6MiB allocated
Compiler: Compiled 19 094 to 1 930 computations (89.9% saved)

prune15.0ms (0.2%)

Memory

14.1MiB live, 53.7MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	683	2	685
Fresh	2	3	5
Picked	3	2	5
Done	1	0	1
Total	689	7	696

Accuracy

100.0%

Counts

696 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	4.7%	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	98.9%	(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
▶	98.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
✓	98.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
▶	98.4%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
✓	97.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 122 to 93 computations (23.8% saved)

simplify234.0ms (2.9%)

Memory

25.9MiB live, 102.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(log1p.f64 (neg.f64 x))
cost-diff	0	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	0	(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
cost-diff	0	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(log1p.f64 (neg.f64 x))
cost-diff	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Rules

15 956×	`lower-fma.f32`
15 938×	`lower-fma.f64`
2 542×	`lower-*.f32`
2 538×	`lower-*.f64`
2 272×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	229
0	66	225
1	93	225
2	158	225
3	416	225
4	1102	225
5	2632	225
6	4219	225
7	5387	225
8	6555	225
9	7182	225
10	7595	225
11	7647	225
12	7711	225
13	7715	225
14	7804	225
15	7806	225
16	7806	225
0	8096	225

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)

localize260.0ms (3.2%)

Memory

-32.3MiB live, 213.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 (neg.f64 x))
accuracy	0.01171875	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy	58.63586561443233	(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	0.01171875	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
accuracy	0.015625	(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
accuracy	0.5920573179404366	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.5933177137729836	#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
accuracy	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
accuracy	0	(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
accuracy	0	(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
accuracy	0.5950346854515258	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.8629518518482137	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 (neg.f64 x))
accuracy	0.00390625	(log1p.f64 x)
accuracy	0.01171875	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Samples

122.0ms	151×	1	valid
103.0ms	96×	2	valid
2.0ms	8×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 212 to 38 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-mult: 75.0ms (39.7% of total)

ival-log: 37.0ms (19.6% of total)

adjust: 27.0ms (14.3% of total)

ival-add: 17.0ms (9% of total)

const: 16.0ms (8.5% of total)

ival-div: 6.0ms (3.2% of total)

ival-sub: 5.0ms (2.6% of total)

ival-log1p: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series13.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -1/3 x) 1/2)) 1)) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 x) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -5/12 x) 1/2)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -5/12 x) 1/2)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) (taylor -inf x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) (taylor -inf x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) (taylor -inf x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (log (+ 1 x)) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 x)) (+ (* -1/4 x) -1/3))

2.0ms

inf

((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (log (+ 1 x)) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 x)) (+ (* -1/4 x) -1/3))

1.0ms

((/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (log (+ 1 x)) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 x)) (+ (* -1/4 x) -1/3))

simplify195.0ms (2.4%)

Memory

-12.4MiB live, 175.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 498×	`lower-fma.f64`
15 498×	`lower-fma.f32`
5 292×	`lower-+.f64`
5 292×	`lower-+.f32`
4 284×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	5227
1	889	4702
2	3054	4346
0	8388	4197

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 213

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
-1/2
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -5/12 x)
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
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(-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
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(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1/4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (.f64 x x))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 (neg.f64 x) x) (fma.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
(* -1/4 x)
(*.f64 #s(literal -1/4 binary64) x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))

rewrite174.0ms (2.1%)

Memory

22.5MiB live, 144.9MiB allocated

Rules

4 200×	`lower-fma.f32`
4 194×	`lower-/.f32`
4 190×	`lower-/.f64`
4 182×	`lower-fma.f64`
3 198×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	165
0	66	163
1	246	163
2	1734	154
0	8985	154

Stop Event

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

Counts

18 → 470

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log1p.f64 x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))

Outputs
(*.f64 (pow.f64 (log1p.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal -1 binary64)) (log1p.f64 x))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (pow.f64 (log1p.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64))) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) x) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) x) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64))) (/.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) x) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64))) (/.f64 (.f64 x (*.f64 #s(literal -1/4 binary64) x)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 (.f64 x (.f64 #s(literal -1/4 binary64) x)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 #s(literal -1/4 binary64) x)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/4 binary64) x)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/9 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) x) (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (.f64 #s(literal -1/4 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))

eval133.0ms (1.6%)

Memory: -11.5MiB live, 151.5MiB allocated
Compiler: Compiled 19 173 to 2 202 computations (88.5% saved)

prune34.0ms (0.4%)

Memory

0.8MiB live, 39.4MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	746	4	750
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	746	11	757

Accuracy

100.0%

Counts

757 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	4.7%	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	98.9%	(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
▶	98.9%	(/.f64 #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
✓	98.9%	(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
▶	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
✓	98.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
✓	98.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
▶	45.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))
✓	98.4%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
✓	97.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 182 to 124 computations (31.9% saved)

simplify126.0ms (1.5%)

Memory

20.6MiB live, 101.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)
cost-diff	0	#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)))
cost-diff	0	(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	128	(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))
cost-diff	0	(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	8448	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))
cost-diff	832	(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)
cost-diff	832	(.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)

Rules

12 814×	`lower-fma.f32`
12 796×	`lower-fma.f64`
3 234×	`lower-*.f32`
3 222×	`lower-*.f64`
2 922×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	694
0	86	677
1	131	677
2	220	675
3	631	675
4	2763	629
5	5960	629
0	8313	593

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))
#s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x))
(.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)
(-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
#s(literal -5/12 binary64)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
#s(literal 1 binary64)
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
(neg.f64 x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x #s(literal -1 binary64))
#s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x))
#s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)
(fma.f64 #s(literal -5/12 binary64) x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(-.f64 #s(literal -5/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
#s(literal -5/12 binary64)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
(neg.f64 x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)

localize473.0ms (5.8%)

Memory

-25.4MiB live, 363.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.015625	(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
accuracy	0.7463147077586471	#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)))
accuracy	0.7465434419225249	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.01953125	(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))
accuracy	0.01953125	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.7463147077586471	#s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
accuracy	0.7465434419225249	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.01171875	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
accuracy	0.015625	(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
accuracy	0.7463147077586471	#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
accuracy	61.50274535587203	#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.11328125	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
accuracy	0.1640625	(.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)
accuracy	0.7526829706094007	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))
accuracy	32.24337357890156	(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)

Samples

172.0ms	154×	1	valid
126.0ms	93×	2	valid
3.0ms	9×	0	valid

Compiler

Compiled 493 to 51 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-mult: 40.0ms (16.7% of total)

ival-div: 38.0ms (15.9% of total)

ival-add: 36.0ms (15% of total)

ival-sub: 34.0ms (14.2% of total)

ival-log: 33.0ms (13.8% of total)

adjust: 32.0ms (13.4% of total)

const: 16.0ms (6.7% of total)

ival-pow2: 5.0ms (2.1% of total)

ival-log1p: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series22.0ms (0.3%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) (patch (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) (patch (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) (patch #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) (patch #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) (patch (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 x) 1) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) (patch (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -5/12 x) 1/2)) 1) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) (patch (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -5/12 x) 1/2)) 1) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) (patch (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) (patch (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/2 x) 1) x) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) (patch (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (- (* -5/12 x) 1/2)) 1) x) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) (patch (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

((* (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) x) (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (/ 1 (/ (log (- 1 x)) (log (- 1 x)))) (/ (log (- 1 x)) (log (- 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (/ (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 1)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (+ (* (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) x) (neg x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) (/ (+ (/ 1 x) 1/2) x) (log (- 1 x)) (+ (* -1/4 x) -1/3) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (log (+ 1 x)) (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2))

2.0ms

-inf

((* (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) x) (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (/ 1 (/ (log (- 1 x)) (log (- 1 x)))) (/ (log (- 1 x)) (log (- 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (/ (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 1)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (+ (* (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) x) (neg x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) (/ (+ (/ 1 x) 1/2) x) (log (- 1 x)) (+ (* -1/4 x) -1/3) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (log (+ 1 x)) (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2))

2.0ms

inf

((* (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) x) (* (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (/ 1 (/ (log (- 1 x)) (log (- 1 x)))) (/ (log (- 1 x)) (log (- 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (/ (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 1)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (+ (* (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) x) (neg x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) (/ (+ (/ 1 x) 1/2) x) (log (- 1 x)) (+ (* -1/4 x) -1/3) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (log (+ 1 x)) (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2))

simplify307.0ms (3.8%)

Memory

3.9MiB live, 164.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 064×	`lower-fma.f64`
13 064×	`lower-fma.f32`
5 236×	`lower-+.f64`
5 236×	`lower-+.f32`
4 960×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	4448
1	1157	4106
2	3727	3853
0	8660	3698

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

Calls

Call 1

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

Outputs
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1/2 x) 1) x)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (- (* -5/12 x) 1/2)) 1) x)
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (- (* -5/12 x) 1/2)) 1) x)
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/4 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/4 (* 1/3 x))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/4 (* x (+ 1/3 (* 13/36 x))))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1 binary64)) x)
(* -1 x)
(neg.f64 x)
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(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/3 x) 1/2))
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x)
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x)
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x)
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 x) 1/3)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* 1/3 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* x (+ 1/3 (* 13/36 x)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* x (+ 1/3 (* x (+ 13/36 (* 1/6 x)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 13/36 binary64)) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x)
(* -5/12 (pow x 2))
(.f64 (.f64 #s(literal -5/12 binary64) x) x)
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)
(* -5/12 x)
(*.f64 #s(literal -5/12 binary64) x)
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
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(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
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(* 1/16 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/16 binary64))
(* (pow x 7) (+ 1/16 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (* 13/36 (/ 1 x))) x)) 1/16)))
(*.f64 (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 13/36 binary64) x) #s(literal 1/6 binary64)) x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (+ (/ 1/3 (pow x 2)) (* 13/36 (/ 1 x)))) x)) 1/16)))
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(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
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(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
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(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
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(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(* -1 (log (/ -1 x)))
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(- (* -1 (log (/ -1 x))) (/ 1 x))
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(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
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(* -1/4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (.f64 x x))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 (neg.f64 x) x) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/4 binary64)) x #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 (neg.f64 x) x) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/4 binary64)) x #s(literal 1/3 binary64)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(* -1 (log (/ -1 x)))
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(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1/4 x)
(*.f64 #s(literal -1/4 binary64) x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
(* 1/16 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 binary64))
(* (pow x 6) (+ 1/16 (* 1/6 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/16 binary64)))
(* (pow x 6) (+ 1/16 (+ (/ 13/36 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 13/36 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 6) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 13/36 (* 1/3 (/ 1 x))) x)) 1/6) x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 13/36 binary64)) x)) x)) (pow.f64 x #s(literal 6 binary64)))

rewrite181.0ms (2.2%)

Memory

9.2MiB live, 165.3MiB allocated

Rules

4 624×	`lower-/.f32`
4 612×	`lower-/.f64`
3 832×	`lower-*.f32`
3 820×	`lower-*.f64`
3 074×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	452
0	86	519
1	359	405
2	2611	405
0	8242	382

Stop Event

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

Counts

22 → 639

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
(.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)
(.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) (.f64 x x))
(.f64 x (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))) (.f64 x x))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))) (.f64 x x))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))) (.f64 x x)) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64)))
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x)
(*.f64 x (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))) x)) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))) x) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 25/144 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal -125/1728 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -5/12 binary64)) #s(literal 25/144 binary64)))
(fma.f64 x #s(literal -5/12 binary64) (*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x) x))
(fma.f64 x #s(literal -5/12 binary64) (*.f64 x (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)))
(fma.f64 #s(literal -5/12 binary64) x (*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x) x))
(fma.f64 #s(literal -5/12 binary64) x (*.f64 x (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)))
(+.f64 (.f64 x #s(literal -5/12 binary64)) (.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x) x))
(+.f64 (.f64 x #s(literal -5/12 binary64)) (.f64 x (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) (neg.f64 x))) (pow.f64 (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) (neg.f64 x))) (pow.f64 (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) (neg.f64 x))) (pow.f64 (.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x #s(literal 1 binary64))) (.f64 (fma.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(approx (+ ( (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) x)) x #s(literal 1 binary64))))
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(+.f64 (neg.f64 x) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(.f64 (pow.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))) x)
(.f64 (.f64 x x) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (neg.f64 x)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (neg.f64 x)))
(.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 x x))
(.f64 (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))))
(.f64 x (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x)))
(pow.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))

eval240.0ms (2.9%)

Memory: -13.3MiB live, 229.0MiB allocated
Compiler: Compiled 45 057 to 3 777 computations (91.6% saved)

prune69.0ms (0.8%)

Memory

-2.1MiB live, 76.3MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1 136	4	1 140
Fresh	0	0	0
Picked	2	2	4
Done	0	7	7
Total	1 138	13	1 151

Accuracy

100.0%

Counts

1 151 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	4.7%	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	98.9%	(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (+.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) x)))
✓	98.9%	(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
	99.0%	(/.f64 #s(approx (log (- 1 x)) (/.f64 #s(approx (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1 binary64)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
✓	98.9%	(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
✓	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
✓	98.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
✓	98.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
	98.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x)) x #s(literal -1 binary64)))
	45.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)))
✓	98.4%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
✓	97.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 598 to 270 computations (54.8% saved)

regimes33.0ms (0.4%)

Memory

-1.0MiB live, 38.0MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (+.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 #s(approx (log (- 1 x)) (/.f64 #s(approx (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1 binary64)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))

Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))

Calls

2 calls:

29.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes53.0ms (0.7%)

Memory

-18.1MiB live, 46.1MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (+.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 #s(approx (log (- 1 x)) (/.f64 #s(approx (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1 binary64)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

2 calls:

49.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.2%)

Memory

-13.0MiB live, 26.3MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (+.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 #s(approx (log (- 1 x)) (/.f64 #s(approx (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1 binary64)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))

Outputs

(/.f64 #s(approx (log (- 1 x)) (/.f64 #s(approx (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))

Calls

2 calls:

8.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (+.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))

Outputs

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

Calls

2 calls:

6.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes12.0ms (0.1%)

Memory

-16.3MiB live, 22.3MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))

Outputs

(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))

Calls

2 calls:

9.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
98.9%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`
98.9%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 #s(approx ( (- -5/12 (/ (+ (/ 1 x) 1/2) x)) x) (neg.f64 (fma.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x #s(literal 1/2 binary64)))) x)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (+ (* (+ (* -5/12 x) -1/2) x) -1) (.f64 (.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x)) x #s(literal -1 binary64)))

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))

Calls

2 calls:

5.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory

-21.5MiB live, 15.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))

#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))

Calls

2 calls:

5.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify31.0ms (0.4%)

Memory

-17.7MiB live, 64.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`-commutative-binary64-.f64`
12×	`+-commutative-binary64-+.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	218
1	82	218
2	93	218
3	100	218
4	104	218
5	105	218

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (/.f64 #s(approx (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1 binary64)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (/.f64 #s(approx (* (- (pow (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) 2) 1) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1 binary64)) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

soundness1.1s (13.1%)

Memory

22.6MiB live, 496.4MiB allocated

Rules

13 064×	`lower-fma.f64`
13 064×	`lower-fma.f32`
12 270×	`lower-fma.f64`
12 270×	`lower-fma.f32`
10 790×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	23
1	41	23
2	245	23
3	2167	23
0	10440	15
0	390	5776
1	1180	5256
2	3780	5089
0	8632	4894
0	369	4448
1	1157	4106
2	3727	3853
0	8660	3698
0	37	165
0	66	163
1	246	163
2	1734	154
0	8985	154
0	35	161
0	65	153
1	252	150
2	1705	150
0	8430	144
0	217	1122
1	658	1000
2	2012	927
0	8310	900

Stop Event

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

Compiler

Compiled 366 to 207 computations (43.4% saved)

preprocess70.0ms (0.9%)

Memory: -12.3MiB live, 105.9MiB allocated
Compiler: Compiled 312 to 132 computations (57.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6

start0.0ms (0%)

analyze4.0ms (0.1%)

sample2.7s (33.1%)

explain225.0ms (2.7%)

preprocess19.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize68.0ms (0.8%)

series8.0ms (0.1%)

simplify154.0ms (1.9%)

rewrite134.0ms (1.6%)

eval117.0ms (1.4%)

prune25.0ms (0.3%)

simplify247.0ms (3%)

localize221.0ms (2.7%)

series18.0ms (0.2%)

simplify175.0ms (2.1%)

rewrite167.0ms (2%)

eval92.0ms (1.1%)

prune15.0ms (0.2%)

simplify234.0ms (2.9%)

localize260.0ms (3.2%)

series13.0ms (0.2%)

simplify195.0ms (2.4%)

rewrite174.0ms (2.1%)

eval133.0ms (1.6%)

prune34.0ms (0.4%)

simplify126.0ms (1.5%)

localize473.0ms (5.8%)

series22.0ms (0.3%)

simplify307.0ms (3.8%)

rewrite181.0ms (2.2%)

eval240.0ms (2.9%)

prune69.0ms (0.8%)

regimes33.0ms (0.4%)

regimes53.0ms (0.7%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

simplify31.0ms (0.4%)

soundness1.1s (13.1%)

preprocess70.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6