Metrics for qlog (example 3.10)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

Memory

8.4MiB live, 8.4MiB 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)

sample2.9s (28%)

Memory

-61.5MiB live, 3 681.8MiB allocated

Samples

1.4s	2 987×	2	valid
1.1s	4 945×	1	valid
24.0ms	324×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-log: 1.4s (65.3% of total)

ival-sub: 240.0ms (10.9% of total)

adjust: 173.0ms (7.8% of total)

ival-div: 150.0ms (6.8% of total)

ival-fabs: 103.0ms (4.7% of total)

ival-log1p: 50.0ms (2.3% of total)

ival-<=: 41.0ms (1.9% of total)

exact: 6.0ms (0.3% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain323.0ms (3.1%)

Memory

-22.5MiB live, 176.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	255	0
`log.f64`	`(log.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	255	0

Confusion

	Predicted +	Predicted -
+	251	0
-	4	1

Precision

0.984313725490196

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	0	0
-	4	0	1

Precision?

0.984313725490196

Recall?

1.0

Freqs

test

number	freq
0	1
2	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

115.0ms	186×	2	valid
87.0ms	316×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 64 to 25 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-log: 131.0ms (78.6% of total)

adjust: 14.0ms (8.4% of total)

ival-div: 8.0ms (4.8% of total)

ival-sub: 7.0ms (4.2% of total)

ival-add: 3.0ms (1.8% of total)

ival-log1p: 3.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess17.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB 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 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.8%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify5.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB 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)

localize105.0ms (1%)

Memory

3.7MiB live, 41.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.01953125	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy	59.366096448852225	(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	59.37842859950569	(log.f64 (+.f64 #s(literal 1 binary64) x))

Samples

67.0ms	93×	2	valid
27.0ms	158×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-log: 65.0ms (78.7% of total)

adjust: 7.0ms (8.5% of total)

ival-div: 4.0ms (4.8% of total)

ival-sub: 3.0ms (3.6% of total)

ival-log1p: 2.0ms (2.4% of total)

ival-add: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB 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 (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 (/ (- (* 1/2 (/ 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 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 (+ (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 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 (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 (/ (+ (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 (/ (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 (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 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 (* -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 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 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 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

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (log (- 1 x)) (log (+ 1 x)))
1.0ms	x	@	inf	(/ (log (- 1 x)) (log (+ 1 x)))
0.0ms	x	@	0	(log (+ 1 x))
0.0ms	x	@	-inf	(log (+ 1 x))
0.0ms	x	@	inf	(log (+ 1 x))

simplify483.0ms (4.7%)

Memory

-9.2MiB live, 300.8MiB 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	8297	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 (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 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -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))
(+ (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 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
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -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 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
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

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

rewrite240.0ms (2.3%)

Memory

13.7MiB live, 333.1MiB 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
(log.f64 (+.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (*.f64 x (neg.f64 x))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(+.f64 (log1p.f64 (fma.f64 x x x)) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) (log1p.f64 (.f64 x (.f64 x x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #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 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x))))) (log1p.f64 (neg.f64 (fma.f64 x x x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (log.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x x)))) (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (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 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(-.f64 (log1p.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (log.f64 (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) (log.f64 (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (log.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) #s(literal 1 binary64)) (log1p.f64 x))
(-.f64 (/.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 1 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log1p.f64 x))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (log1p.f64 x))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (log1p.f64 (.f64 x (.f64 x x))))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))

eval113.0ms (1.1%)

Memory: 13.8MiB live, 206.3MiB allocated
Compiler: Compiled 28 479 to 2 475 computations (91.3% saved)

prune143.0ms (1.4%)

Memory

-20.7MiB live, 384.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	889	10	899
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	890	10	900

Accuracy

100.0%

Counts

900 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.3%	(/.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	4.9%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
▶	3.3%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	3.3%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	3.2%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	3.2%	(/.f64 #s(approx (log (- 1 x)) (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
▶	99.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
	99.5%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
▶	99.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 220 to 146 computations (33.6% saved)

simplify304.0ms (2.9%)

Memory

32.8MiB live, 221.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

7 792×	`lower-fma.f32`
7 776×	`lower-fma.f64`
1 808×	`lower-*.f32`
1 804×	`lower-*.f64`
1 168×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	221
0	52	221
1	104	221
2	213	221
3	382	221
4	706	221
5	1265	221
6	2320	221
7	4318	221
8	5241	221
9	5428	221
10	5449	221
11	5449	221
12	5658	221
13	5658	221
14	5684	221
15	5692	221
16	5692	221
17	5702	221
0	5702	200

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize237.0ms (2.3%)

Memory

-25.5MiB live, 486.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
accuracy	0.01953125	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy	0.1982342062431107	#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
accuracy	59.37842859950574	(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	0.01953125	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy	0.01953125	(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
accuracy	0.2953507516362737	#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))
accuracy	59.37842859950574	(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	0	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	0	(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
accuracy	0.2546692185031003	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	0.6492780512436936	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
accuracy	0	(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
accuracy	0.00390625	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
accuracy	0.0078125	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	0.20471149445182688	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))

Samples

101.0ms	93×	2	valid
82.0ms	158×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 182 to 31 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-log: 39.0ms (25.8% of total)

adjust: 37.0ms (24.5% of total)

const: 29.0ms (19.2% of total)

ival-mult: 20.0ms (13.2% of total)

ival-add: 15.0ms (9.9% of total)

ival-div: 4.0ms (2.6% of total)

ival-sub: 4.0ms (2.6% of total)

ival-log1p: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series14.0ms (0.1%)

Memory

36.2MiB live, 36.2MiB allocated

Counts

16 → 192

Calls

Call 1

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

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
1.0ms	x	@	0	(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
0.0ms	x	@	inf	(+ (* x (+ (* x -1/2) -1)) -1)
0.0ms	x	@	inf	(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
0.0ms	x	@	-inf	(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))

simplify371.0ms (3.6%)

Memory

-49.3MiB live, 524.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 060×	`lower-fma.f64`
16 060×	`lower-fma.f32`
4 942×	`lower-+.f64`
4 942×	`lower-+.f32`
4 064×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	5028
1	850	4507
2	2841	4145
0	8560	3992

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

Calls

Call 1

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

rewrite236.0ms (2.3%)

Memory

37.9MiB live, 316.3MiB allocated

Rules

4 182×	`lower-/.f32`
4 178×	`lower-/.f64`
4 174×	`lower-fma.f32`
4 158×	`lower-fma.f64`
3 382×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	172
0	52	172
1	228	172
2	1727	172
0	8445	153

Stop Event

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

Counts

16 → 407

Calls

Call 1

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

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
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(.f64 (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
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(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
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(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 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 x #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal -1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 x #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))

eval101.0ms (1%)

Memory: -6.4MiB live, 160.2MiB allocated
Compiler: Compiled 18 883 to 1 694 computations (91% saved)

prune131.0ms (1.3%)

Memory

-20.0MiB live, 138.1MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	670	10	680
Fresh	2	3	5
Picked	2	3	5
Done	0	0	0
Total	674	16	690

Accuracy

100.0%

Counts

690 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.9%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
	99.7%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
▶	3.3%	(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	99.5%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (log1p.f64 x))
	3.2%	(/.f64 #s(approx (log (- 1 x)) (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	99.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
✓	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	99.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
▶	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
▶	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x))
▶	99.5%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
	4.2%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1) (.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))
	4.2%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* x (+ (* x -1/2) -1)) -1) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	99.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 380 to 222 computations (41.6% saved)

simplify235.0ms (2.3%)

Memory

0.6MiB live, 228.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff	128	(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))
cost-diff	320	(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -5/12 binary64)))))
cost-diff	448	(-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
cost-diff	640	(-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
cost-diff	128	(+.f64 (neg.f64 x) #s(literal -1 binary64))
cost-diff	128	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 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	(.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x))
cost-diff	128	(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))
cost-diff	128	(-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x)

Rules

12 506×	`lower-fma.f32`
12 496×	`lower-fma.f64`
3 270×	`lower-*.f32`
3 252×	`lower-*.f64`
2 876×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	419
0	77	416
1	149	408
2	309	408
3	724	384
4	1684	380
5	4256	374
6	7625	374
0	8492	324

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
x
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
#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 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
(neg.f64 x)
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 5/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 x x) #s(literal -25/144 binary64) #s(literal -1/6 binary64)) #s(literal -5/12 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 5/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 x x) #s(literal -25/144 binary64) #s(literal -1/6 binary64)) #s(literal -5/12 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 x x) (+.f64 (fma.f64 x (.f64 x #s(literal 25/144 binary64)) #s(literal 5/12 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) (+.f64 (fma.f64 x (.f64 x #s(literal 25/144 binary64)) #s(literal 5/12 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal -5/12 binary64)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 25/144 binary64)) #s(literal 5/6 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(*.f64 x #s(literal -5/12 binary64))
#s(literal -5/12 binary64)
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(*.f64 x x)
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x #s(approx (+ (* x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(approx (+ (* x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
#s(approx (+ (* x -1/4) -1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize321.0ms (3.1%)

Memory

27.8MiB live, 379.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy	0.1982342062431107	#s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
accuracy	0.6309704382062699	#s(approx (+ (* x -1/4) -1/3) #s(literal -1/3 binary64))
accuracy	50.921659556933896	(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	0.01953125	(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))
accuracy	0.0859375	(.f64 x (.f64 x #s(literal -5/12 binary64)))
accuracy	0.20471149445182688	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
accuracy	0.22265625	(*.f64 x #s(literal -5/12 binary64))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
accuracy	0.2546692185031003	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.3100647915241813	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
accuracy	0.00390625	(.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
accuracy	0.01171875	(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
accuracy	0.014872480164287516	(-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x)
accuracy	0.20471149445182688	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x))

Samples

111.0ms	139×	1	valid
79.0ms	76×	2	valid
63.0ms	36×	5	exit
1.0ms	5×	0	valid

Compiler

Compiled 329 to 44 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

adjust: 51.0ms (25% of total)

ival-mult: 50.0ms (24.5% of total)

ival-log: 41.0ms (20.1% of total)

ival-add: 21.0ms (10.3% of total)

const: 15.0ms (7.4% of total)

ival-sub: 13.0ms (6.4% of total)

ival-div: 10.0ms (4.9% of total)

ival-log1p: 2.0ms (1% 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)

series23.0ms (0.2%)

Memory

-3.3MiB live, 31.7MiB allocated

Counts

25 → 300

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(- (+ -1 (* x (* x -5/12))) (* x -1/2))
0.0ms	x	@	inf	(- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x)))
0.0ms	x	@	0	(- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x)))
0.0ms	x	@	-inf	(+ -1 (* x (* x (+ (* x -5/12) -1/2))))
0.0ms	x	@	inf	(* x -5/12)

simplify320.0ms (3.1%)

Memory

25.2MiB live, 403.3MiB allocated

Algorithm

1×	egg-herbie

Rules

18 358×	`lower-fma.f64`
18 358×	`lower-fma.f32`
5 304×	`lower-+.f64`
5 304×	`lower-+.f32`
4 588×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	5647
1	1009	5156
2	3249	4750
0	8215	4563

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 299

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -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 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
-1
(- (* -1/2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -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 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)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -5/12 x) 1/2))
(* (pow x 2) (- (* -5/12 x) 1/2))
(* (pow x 2) (- (* -5/12 x) 1/2))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -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 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
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(* -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 (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
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -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 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)))
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(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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1
(+ 1 (* 7/12 (pow x 2)))
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(+ 1 (* (pow x 2) (+ 7/12 (* 25/144 (pow x 2)))))
(* 25/144 (pow x 4))
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(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 25/144 (pow x 4))
(* (pow x 4) (+ 25/144 (* 7/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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(- (* x (+ 1/2 (* -5/12 x))) 1)
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(* -5/12 (pow x 2))
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(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 5/12))
1
(+ 1 (* 5/6 (pow x 2)))
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(+ 1 (* (pow x 2) (+ 5/6 (* 25/144 (pow x 2)))))
(* 25/144 (pow x 4))
(* (pow x 4) (+ 25/144 (* 5/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 25/144 (+ (* 5/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/2 x)))
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(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
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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)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
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(* -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))
(+ (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 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 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))
(* -1/4 (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 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))
(* -1/2 x)
(* x (- (* -5/12 x) 1/2))
(* x (- (* -5/12 x) 1/2))
(* x (- (* -5/12 x) 1/2))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -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 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)))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* -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 (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))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(* -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 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)))))

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

rewrite294.0ms (2.8%)

Memory

-4.3MiB live, 329.4MiB allocated

Rules

4 462×	`lower-/.f32`
4 458×	`lower-/.f64`
4 132×	`lower-*.f32`
4 114×	`lower-*.f64`
3 378×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	323
0	77	296
1	328	256
2	2788	256
0	8975	219

Stop Event

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

Counts

25 → 726

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (neg.f64 x)))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal -1 binary64) x))
(+.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (neg.f64 x)) #s(literal -1 binary64))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) x)
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x))) (/.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x))))
(-.f64 (+.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) x)
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 x))))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 x))))))
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (-.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (-.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (neg.f64 x)))) (/.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (neg.f64 x)) (fma.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (neg.f64 x))) (-.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (neg.f64 x)))))
(fma.f64 #s(literal -1 binary64) x (fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x (-.f64 #s(literal -1 binary64) x))
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(.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
#s(approx (+ (* x -1/4) -1/3) #s(literal -1/3 binary64))

eval180.0ms (1.7%)

Memory: -8.9MiB live, 261.2MiB allocated
Compiler: Compiled 48 412 to 3 176 computations (93.4% saved)

prune165.0ms (1.6%)

Memory

-9.5MiB live, 168.8MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 193	7	1 200
Fresh	6	2	8
Picked	4	1	5
Done	0	3	3
Total	1 203	13	1 216

Accuracy

100.0%

Counts

1 216 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.9%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
▶	99.7%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
	99.6%	(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
	99.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
✓	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
▶	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	99.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
▶	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
✓	99.5%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
▶	4.2%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
▶	4.2%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
✓	99.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 269 to 163 computations (39.4% saved)

simplify289.0ms (2.8%)

Memory

11.9MiB live, 163.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
cost-diff	320	(fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))
cost-diff	0	#s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 x x))
cost-diff	0	#s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
cost-diff	0	(fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
cost-diff	128	(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))
cost-diff	448	(-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (*.f64 x #s(literal -1/2 binary64)))

Rules

16 146×	`lower-fma.f32`
16 128×	`lower-fma.f64`
3 322×	`lower-*.f32`
3 308×	`lower-*.f64`
2 360×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	455
0	88	442
1	184	431
2	381	431
3	841	415
4	1815	415
5	3499	403
6	5462	403
7	7136	403
8	7757	403
0	8084	376

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 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
x
(/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))
#s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 7/12 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))
#s(literal -1 binary64)
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(*.f64 x #s(literal -5/12 binary64))
#s(literal -5/12 binary64)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
(.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
x
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
(*.f64 x x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
x
(fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))
#s(literal -1/2 binary64)
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal -5/12 binary64))
#s(literal -5/12 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 x)

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
x
(/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64)))
#s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 7/12 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(*.f64 x #s(literal -5/12 binary64))
#s(literal -5/12 binary64)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))))
#s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
#s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))
(.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
x
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
(*.f64 x x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
#s(literal -1/2 binary64)
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal -5/12 binary64))
#s(literal -5/12 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 x)

localize413.0ms (4%)

Memory

-3.4MiB live, 231.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
accuracy	0.01953125	(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
accuracy	0.01953125	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
accuracy	0.1982342062431107	#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
accuracy	0.00390625	(fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))
accuracy	0.0078125	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
accuracy	0.20471149445182688	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
accuracy	0.22265625	(*.f64 x #s(literal -5/12 binary64))
accuracy	0.00390625	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
accuracy	0.014003759768442016	(.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))
accuracy	0.20471149445182688	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
accuracy	52.65328617831247	#s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal -1/2 binary64) (.f64 x x))
accuracy	0.2546692185031003	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
accuracy	52.64545978777831	#s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
accuracy	0.0859375	(.f64 x (.f64 x #s(literal -5/12 binary64)))
accuracy	0.1969401923992283	#s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64)))
accuracy	0.20471149445182688	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
accuracy	0.22265625	(*.f64 x #s(literal -5/12 binary64))

Samples

136.0ms	139×	1	valid
126.0ms	76×	2	valid
80.0ms	36×	5	exit
2.0ms	5×	0	valid

Compiler

Compiled 331 to 51 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

adjust: 84.0ms (30.3% of total)

ival-div: 60.0ms (21.6% of total)

ival-mult: 41.0ms (14.8% of total)

ival-log: 32.0ms (11.5% of total)

ival-add: 28.0ms (10.1% of total)

const: 18.0ms (6.5% of total)

ival-sub: 11.0ms (4% of total)

ival-log1p: 2.0ms (0.7% 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)

series16.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (patch (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (patch #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) (.f64 x x)) (patch (.f64 #s(literal -1/2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) (patch #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) (patch (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) (patch (/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 x) 1) (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1/2 (* -5/12 x))) 1) (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1/2 (* -5/12 x))) 1) (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor inf x) (#s(alt (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 5/12)) (taylor inf x) (#s(alt (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 5/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 5/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 5/12)) (taylor -inf x) (#s(alt (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -5/12 binary64)) (patch (.f64 x #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 7/12 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 7/12 (* 25/144 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 7/12 (* 25/144 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 25/144 (pow x 4)) (taylor inf x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 25/144 (* 7/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 25/144 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 25/144 (* 7/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (patch #s(approx (- ( (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor 0 x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor inf x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (.f64 x #s(literal -5/12 binary64))) (patch (.f64 x (.f64 x #s(literal -5/12 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 x) 1/3) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 x) 1/3) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 x) 1/3) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* -1/2 (* x x))
0.0ms	x	@	inf	(+ (* x (/ (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (- (+ -1 (* x (* x -5/12))) (* x -1/2)))) -1)
0.0ms	x	@	-inf	(+ (* x (/ (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (- (+ -1 (* x (* x -5/12))) (* x -1/2)))) -1)
0.0ms	x	@	0	(* -1/2 (* x x))
0.0ms	x	@	0	(+ (* x (/ (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (- (+ -1 (* x (* x -5/12))) (* x -1/2)))) -1)

simplify329.0ms (3.2%)

Memory

-15.9MiB live, 455.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 554×	`lower-fma.f64`
13 554×	`lower-fma.f32`
5 058×	`lower-+.f64`
5 058×	`lower-+.f32`
4 056×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	5652
1	884	5161
2	3088	4763
0	8678	4567

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -5/12 x))) 1)
(- (* x (+ 1/2 (* -5/12 x))) 1)
(* -5/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 5/12))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 5/12 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 5/12 (/ 1 (pow x 2)))))
(* -5/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 5/12))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 5/12))
-1
(- (* -5/12 (pow x 2)) 1)
(- (* -5/12 (pow x 2)) 1)
(- (* -5/12 (pow x 2)) 1)
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -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 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
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(- (* x (- (* -1/2 x) 1)) 1)
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(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 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 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))
(* -1/4 (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 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
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -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)))))
(* -1/4 (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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
1
(+ 1 (* 7/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 7/12 (* 25/144 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 7/12 (* 25/144 (pow x 2)))))
(* 25/144 (pow x 4))
(* (pow x 4) (+ 25/144 (* 7/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 25/144 (pow x 4))
(* (pow x 4) (+ 25/144 (* 7/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
(* -5/12 (pow x 2))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(* -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 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)))))

Outputs
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* -5/12 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* x (+ 1/2 (* -5/12 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 5/12))
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 5/12 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 5/12 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 5/12))
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 5/12))
(.f64 x (.f64 x (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 5/12))
(.f64 x (.f64 x (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
-1
#s(literal -1 binary64)
(- (* -5/12 (pow x 2)) 1)
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(- (* -5/12 (pow x 2)) 1)
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(- (* -5/12 (pow x 2)) 1)
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 5/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #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 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -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 (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)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) 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 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (log.f64 x))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (neg.f64 (log.f64 x)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (.f64 (.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x 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 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (log.f64 x))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (neg.f64 (log.f64 x))))) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 (neg.f64 x) (log.f64 x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))) (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (.f64 x (.f64 x x))) (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))))
(+ (* -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 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) x))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 3))
(.f64 #s(literal -5/12 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)))
(* -5/12 (pow x 3))
(.f64 #s(literal -5/12 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
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(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (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 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* -1/4 (pow x 4))
(.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/3 binary64)) x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 4))
(.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -1/3 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -1/4 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(* -1/4 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 x x) (neg.f64 (fma.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 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 x x) (fma.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 7/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7/12 (* 25/144 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal 7/12 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7/12 (* 25/144 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal 7/12 binary64)) #s(literal 1 binary64))
(* 25/144 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64)))
(* (pow x 4) (+ 25/144 (* 7/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 25/144 binary64) (/.f64 #s(literal 7/12 binary64) (*.f64 x x))))
(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 25/144 binary64) (/.f64 #s(literal 7/12 binary64) (.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 25/144 binary64) (/.f64 #s(literal 7/12 binary64) (.f64 x x))) #s(literal 1 binary64))
(* 25/144 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64)))
(* (pow x 4) (+ 25/144 (* 7/12 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 25/144 binary64) (/.f64 #s(literal 7/12 binary64) (*.f64 x x))))
(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 25/144 binary64) (/.f64 #s(literal 7/12 binary64) (.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (+ 25/144 (+ (* 7/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 25/144 binary64) (/.f64 #s(literal 7/12 binary64) (.f64 x x))) #s(literal 1 binary64))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(* -5/12 (pow x 2))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))

rewrite300.0ms (2.9%)

Memory

-1.5MiB live, 403.0MiB allocated

Rules

5 316×	`lower-fma.f32`
5 298×	`lower-fma.f64`
5 116×	`lower-*.f32`
5 102×	`lower-*.f64`
3 142×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	368
0	88	343
1	399	333
2	3347	333
0	8558	309

Stop Event

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

Counts

24 → 440

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(*.f64 x x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
(.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal -5/12 binary64))
#s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))

Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -5/12 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -5/12 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(-.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))
(fma.f64 x (.f64 x #s(literal -5/12 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 x (.f64 x #s(literal -5/12 binary64)) (-.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -5/12 binary64) (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal -5/12 binary64) (.f64 x x) (-.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (.f64 x #s(literal -5/12 binary64)) x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 x #s(literal -5/12 binary64)) x (-.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 x x) #s(literal -5/12 binary64) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 x x) #s(literal -5/12 binary64) (-.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -125/1728 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 5/12 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -125/1728 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x #s(literal -5/12 binary64))) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 5/12 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -125/1728 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 5/12 binary64)))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -125/1728 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x #s(literal -5/12 binary64))) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 5/12 binary64)))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
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(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -5/12 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64))) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 5/12 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 5/12 binary64)))))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal -5/12 binary64)) x #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal -5/12 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 5/12 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -125/1728 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal -5/12 binary64))) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -125/1728 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 5/12 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -125/1728 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 25/144 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 5/12 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -125/1728 binary64)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x #s(literal -5/12 binary64))) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)))))
(.f64 (fma.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 x #s(literal -5/12 binary64))
(*.f64 #s(literal -5/12 binary64) x)
#s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 x #s(literal -5/12 binary64)))
(.f64 #s(literal -5/12 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -5/12 binary64)) x)
(.f64 (.f64 x x) #s(literal -5/12 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/12 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/12 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))

eval157.0ms (1.5%)

Memory: 4.2MiB live, 240.9MiB allocated
Compiler: Compiled 23 705 to 1 707 computations (92.8% saved)

prune167.0ms (1.6%)

Memory

18.8MiB live, 291.9MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	796	4	800
Fresh	0	4	4
Picked	1	4	5
Done	0	4	4
Total	797	16	813

Accuracy

100.0%

Counts

813 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.9%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓	99.7%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
	99.6%	(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x #s(literal -1 binary64)))
	99.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
✓	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	99.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)))
	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
✓	99.5%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))))
✓	4.2%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
✓	4.2%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
✓	99.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 711 to 238 computations (66.5% saved)

regimes39.0ms (0.4%)

Memory

-20.6MiB live, 27.2MiB allocated

Counts

32 → 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))) #s(approx (+ (* x (+ (* x -1/2) -1)) -1) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1) (.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x #s(approx (+ ( x -1/4) -1/3) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Outputs

#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)))

Calls

2 calls:

30.0ms	x
7.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB 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))) #s(approx (+ (* x (+ (* x -1/2) -1)) -1) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1) (.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))

Outputs

#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (*.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes29.0ms (0.3%)

Memory

-17.2MiB live, 22.2MiB allocated

Counts

19 → 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))) #s(approx (+ (* x (+ (* x -1/2) -1)) -1) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1) (.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))

Outputs

#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x #s(literal -1 binary64)))

Calls

2 calls:

23.0ms	x
4.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB 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))) #s(approx (+ (* x (+ (* x -1/2) -1)) -1) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (* x x) -1/2) (+ (neg x) -1)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1) (.f64 (.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (+ -1 (* x (* x (+ (* x -5/12) -1/2)))) x) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -5/12 binary64)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)))))

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-20.0MiB live, 17.9MiB allocated

Counts

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

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

Calls

2 calls:

5.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

-26.9MiB live, 11.2MiB allocated

Counts

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

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

Calls

2 calls:

4.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0%)

Memory

7.6MiB live, 7.6MiB 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:

1.0ms	x
1.0ms	(/.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 12 to 8 computations (33.3% saved)

simplify15.0ms (0.1%)

Memory

-10.0MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
28×	`+-commutative_binary64`
28×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	292
1	86	292
2	109	292
3	128	292
4	145	292
5	152	292
6	155	292
7	156	292

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #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
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -5/12 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 (.f64 x x) #s(literal 7/12 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (/.f64 #s(approx (- (* (+ -1 (* x (* x -5/12))) (+ -1 (* x (* x -5/12)))) (* 1/4 (* x x))) (fma.f64 x (*.f64 x #s(literal 7/12 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #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 (10.5%)

Memory

21.7MiB live, 757.7MiB allocated

Rules

18 358×	`lower-fma.f64`
18 358×	`lower-fma.f32`
12 270×	`lower-fma.f64`
12 270×	`lower-fma.f32`
5 316×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	323
0	77	296
1	328	256
2	2788	256
0	8975	219
0	327	5647
1	1009	5156
2	3249	4750
0	8215	4563
0	31	172
0	52	172
1	228	172
2	1727	172
0	8445	153
0	217	1122
1	658	1000
2	2012	927
0	8297	900
0	59	368
0	88	343
1	399	333
2	3347	333
0	8558	309

Stop Event

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

Compiler

Compiled 359 to 174 computations (51.5% saved)

preprocess184.0ms (1.8%)

Memory: -24.8MiB live, 92.3MiB allocated
Compiler: Compiled 332 to 108 computations (67.5% 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%)

sample2.9s (28%)

explain323.0ms (3.1%)

preprocess17.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize105.0ms (1%)

series7.0ms (0.1%)

simplify483.0ms (4.7%)

rewrite240.0ms (2.3%)

eval113.0ms (1.1%)

prune143.0ms (1.4%)

simplify304.0ms (2.9%)

localize237.0ms (2.3%)

series14.0ms (0.1%)

simplify371.0ms (3.6%)

rewrite236.0ms (2.3%)

eval101.0ms (1%)

prune131.0ms (1.3%)

simplify235.0ms (2.3%)

localize321.0ms (3.1%)

series23.0ms (0.2%)

simplify320.0ms (3.1%)

rewrite294.0ms (2.8%)

eval180.0ms (1.7%)

prune165.0ms (1.6%)

simplify289.0ms (2.8%)

localize413.0ms (4%)

series16.0ms (0.2%)

simplify329.0ms (3.2%)

rewrite300.0ms (2.9%)

eval157.0ms (1.5%)

prune167.0ms (1.6%)

regimes39.0ms (0.4%)

regimes12.0ms (0.1%)

regimes29.0ms (0.3%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

simplify15.0ms (0.1%)

soundness1.1s (10.5%)

preprocess184.0ms (1.8%)

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