Metrics for qlog (example 3.10)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze4.0ms (0%)

Memory

7.1MiB live, 7.1MiB 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)

sample2.2s (26%)

Memory

34.3MiB live, 2 029.8MiB allocated

Samples

995.0ms	2 985×	2	valid
894.0ms	4 915×	1	valid
23.0ms	356×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-log: 978.0ms (61.1% of total)

adjust: 175.0ms (10.9% of total)

ival-div: 138.0ms (8.6% of total)

ival-sub: 107.0ms (6.7% of total)

ival-log1p: 95.0ms (5.9% of total)

ival-fabs: 75.0ms (4.7% of total)

ival-<=: 23.0ms (1.4% of total)

exact: 5.0ms (0.3% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain198.0ms (2.3%)

Memory

-24.9MiB live, 274.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
254	-	-	`(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	254	0
`log.f64`	`(log.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	254	0

Confusion

	Predicted +	Predicted -
+	252	0
-	2	2

Precision

0.9921259842519685

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	0	0
-	2	0	2

Precision?

0.9921259842519685

Recall?

1.0

Freqs

test

number	freq
0	2
2	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms	196×	2	valid
62.0ms	294×	1	valid
2.0ms	22×	0	valid

Compiler

Compiled 64 to 25 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-log: 75.0ms (67.6% of total)

adjust: 14.0ms (12.6% of total)

ival-div: 8.0ms (7.2% of total)

ival-sub: 6.0ms (5.4% of total)

ival-add: 3.0ms (2.7% of total)

ival-log1p: 3.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess20.0ms (0.2%)

Memory

-7.1MiB live, 31.6MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.3%	(/.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

9.3MiB live, 9.3MiB 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)

localize73.0ms (0.9%)

Memory

-14.9MiB live, 104.2MiB 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	58.517889617286485	(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy	58.547755508471084	(log.f64 (-.f64 #s(literal 1 binary64) x))

Samples

35.0ms	98×	2	valid
26.0ms	147×	1	valid
1.0ms	11×	0	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-log: 33.0ms (66.1% of total)

adjust: 7.0ms (14% of total)

ival-div: 4.0ms (8% of total)

ival-sub: 3.0ms (6% of total)

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

ival-log1p: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB 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))

simplify249.0ms (2.9%)

Memory

-3.5MiB live, 390.6MiB 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))

rewrite202.0ms (2.4%)

Memory

43.8MiB live, 356.5MiB 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))))

eval143.0ms (1.7%)

Memory: 6.6MiB live, 236.6MiB allocated
Compiler: Compiled 28 479 to 2 475 computations (91.3% saved)

prune132.0ms (1.5%)

Memory

-12.3MiB live, 271.0MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

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

Accuracy

100.0%

Counts

900 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	6.1%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
	4.4%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	3.3%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	5.5%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 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 x x) x)))
▶	5.4%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)))
	5.1%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
▶	99.3%	#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)))
▶	99.1%	#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)))
	98.9%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
▶	97.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 228 to 147 computations (35.5% saved)

simplify154.0ms (1.8%)

Memory

-8.5MiB live, 65.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

3 688×	`lower-fma.f32`
3 674×	`lower-fma.f64`
1 048×	`lower-*.f32`
1 046×	`lower-*.f64`
664×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	159
0	48	159
1	90	159
2	170	159
3	269	159
4	404	159
5	674	159
6	1258	159
7	2105	159
8	2535	159
9	3034	159
10	3243	159
11	3266	159
12	3269	159
13	3358	159
14	3394	159
15	3394	159
16	3400	159
0	3400	152

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

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

localize207.0ms (2.4%)

Memory

6.8MiB live, 159.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(log1p.f64 x)
accuracy	0.01953125	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
accuracy	58.54775550847117	(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.01171875	(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
accuracy	0.01953125	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)))
accuracy	0.5612278873847012	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
accuracy	58.54775550847117	(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0	(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
accuracy	0.00390625	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy	0.5752934381257472	#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	1.3846176467613447	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
accuracy	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))
accuracy	0	(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
accuracy	0	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
accuracy	0.437488643869908	#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

105.0ms	98×	2	valid
54.0ms	147×	1	valid
2.0ms	11×	0	valid

Compiler

Compiled 147 to 27 computations (81.6% saved)

Precisions

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

ival-sub: 44.0ms (34.7% of total)

ival-log: 32.0ms (25.2% of total)

adjust: 18.0ms (14.2% of total)

ival-mult: 12.0ms (9.5% of total)

ival-add: 7.0ms (5.5% of total)

const: 7.0ms (5.5% of total)

ival-div: 4.0ms (3.2% of total)

ival-log1p: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

15 → 180

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

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

Calls

45 calls:

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

simplify345.0ms (4%)

Memory

1.1MiB live, 444.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 560×	`lower-fma.f64`
15 560×	`lower-fma.f32`
4 730×	`lower-+.f64`
4 730×	`lower-+.f32`
3 832×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	4852
1	803	4340
2	2660	3996
0	8155	3859

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

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

rewrite435.0ms (5.1%)

Memory

-37.9MiB live, 278.5MiB allocated

Rules

4 928×	`lower-*.f32`
4 926×	`lower-*.f64`
4 760×	`lower-/.f32`
4 756×	`lower-/.f64`
3 368×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	125
0	48	125
1	195	125
2	1449	125
0	8324	119

Stop Event

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

Counts

15 → 384

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 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)))
(-.f64 #s(literal 1 binary64) x)
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log1p.f64 x)
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 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 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) (neg.f64 x))
(-.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))) (/.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))))
(-.f64 (/.f64 #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 (.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)))) (-.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))))))
(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 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (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))
(fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (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)) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.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)) (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) (neg.f64 x))))) #s(literal -1 binary64))
(fma.f64 (-.f64 (.f64 (.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))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (neg.f64 x))) #s(literal -1 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (.f64 (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 -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (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)) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (neg.f64 x)))) #s(literal -1 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (*.f64 (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 -1 binary64))) (/.f64 #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))
(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (.f64 (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 -1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (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)) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (neg.f64 x)))) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) (*.f64 (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 -1 binary64)) x) (/.f64 #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))
(/.f64 #s(literal 1 binary64) (/.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))))
(/.f64 #s(literal 1 binary64) (/.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))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.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)))) (.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 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))) (.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)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 #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))) (.f64 x (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) (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)))))
(/.f64 (fma.f64 (.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))) (.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 (fma.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))) #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)) (neg.f64 x))))
(/.f64 (fma.f64 (.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))) (.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 (.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)))) (.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x)))))
(/.f64 (fma.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))) #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)))
(/.f64 (neg.f64 (fma.f64 (.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))) (.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 (fma.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))) #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)) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (.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))) (.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) (-.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)))) (.f64 (fma.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 (fma.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))) #s(literal -1 binary64))) (neg.f64 (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 (.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))))) (-.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)))))
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(*.f64 (log1p.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal -1 binary64)))
(.f64 (.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x))) (fma.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)) (.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))))))
(log1p.f64 x)
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (*.f64 x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(fma.f64 x (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x (.f64 x (.f64 x #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (.f64 x x) (.f64 x #s(literal -1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) x (.f64 x #s(literal -1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/3 binary64) (.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x #s(literal -1/2 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))) (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64))) (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (fma.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) x)) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/27 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 x #s(literal 1/3 binary64)))))))
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (*.f64 x #s(literal -1/2 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64)))))
(.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/6 binary64)))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))

eval104.0ms (1.2%)

Memory: -7.4MiB live, 180.8MiB allocated
Compiler: Compiled 18 126 to 1 706 computations (90.6% saved)

prune94.0ms (1.1%)

Memory

8.8MiB live, 172.0MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	646	7	653
Fresh	2	3	5
Picked	2	3	5
Done	0	1	1
Total	650	14	664

Accuracy

100.0%

Counts

664 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
	99.1%	(/.f64 (log1p.f64 (neg.f64 x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)))
✓	3.3%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	5.5%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 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 x x) x)))
▶	5.1%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
▶	99.3%	(/.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)))) (log1p.f64 x))
	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
✓	99.3%	#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)))
▶	99.3%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	99.1%	#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)))
▶	98.9%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
	99.1%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
	32.2%	#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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))))
✓	97.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 306 to 189 computations (38.2% saved)

simplify269.0ms (3.1%)

Memory

9.3MiB live, 167.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
cost-diff	64	(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(log1p.f64 (neg.f64 x))
cost-diff	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Rules

11 176×	`lower-fma.f32`
11 160×	`lower-fma.f64`
3 096×	`lower-*.f32`
3 090×	`lower-*.f64`
1 416×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	235
0	71	229
1	122	229
2	222	229
3	389	229
4	703	229
5	1181	229
6	2866	229
7	4447	229
8	6590	229
9	7202	229
10	7586	229
11	7648	229
12	7663	229
13	7901	229
0	8103	229

Stop Event

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

Calls

Call 1

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

localize315.0ms (3.7%)

Memory

-42.9MiB live, 207.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.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	(/.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	0.0234375	(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
accuracy	0.43468635035677816	#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	(*.f64 x #s(literal -1/2 binary64))
accuracy	0.01953125	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
accuracy	0.7206621245336832	#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))
accuracy	58.547755508471084	(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64))
accuracy	0.00390625	(fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))
accuracy	0.437488643869908	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0.7350592781376015	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 (neg.f64 x))
accuracy	0	(log1p.f64 x)
accuracy	0.01953125	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Samples

120.0ms	98×	2	valid
79.0ms	147×	1	valid
3.0ms	11×	0	valid

Compiler

Compiled 216 to 39 computations (81.9% saved)

Precisions

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

ival-log: 33.0ms (25.9% of total)

adjust: 27.0ms (21.2% of total)

ival-mult: 25.0ms (19.7% of total)

const: 13.0ms (10.2% of total)

ival-add: 12.0ms (9.4% of total)

ival-div: 7.0ms (5.5% of total)

ival-sub: 5.0ms (3.9% of total)

ival-log1p: 3.0ms (2.4% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series16.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (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 (/.f64 (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (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 (/.f64 (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (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 (/.f64 (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (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 (/.f64 (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x)) #<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 (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 (.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -1/2 binary64)) (patch (.f64 x #s(literal -1/2 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 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (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 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 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 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 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 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/2 binary64)) (patch (.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/2 binary64)) (patch (.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/2 binary64)) (patch (.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/2 binary64)) (patch (.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/2 binary64)) (patch (.f64 x #s(literal -1/2 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

66 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* x -1/4) -1/3)
0.0ms	x	@	inf	(+ (* x (/ (+ (* (* x x) 25/144) -1/4) (+ (* x -5/12) 1/2))) -1)
0.0ms	x	@	inf	(/ (+ (* (* x x) 25/144) -1/4) (+ (* x -5/12) 1/2))
0.0ms	x	@	-inf	(+ (* x (+ (* x (/ (+ (* (* x x) 25/144) -1/4) (+ (* x -5/12) 1/2))) -1)) -1)
0.0ms	x	@	-inf	(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))

simplify297.0ms (3.5%)

Memory

28.4MiB live, 375.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 566×	`lower-fma.f64`
15 566×	`lower-fma.f32`
5 372×	`lower-+.f64`
5 372×	`lower-+.f32`
4 380×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	5454
1	936	4914
2	3177	4566
0	8191	4405

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

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

rewrite296.0ms (3.4%)

Memory

-19.8MiB live, 271.8MiB allocated

Rules

4 932×	`lower-fma.f32`
4 916×	`lower-fma.f64`
4 326×	`lower-/.f32`
4 318×	`lower-/.f64`
3 392×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	200
0	71	195
1	284	171
2	2040	162
0	8654	158

Stop Event

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

Counts

22 → 545

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (*.f64 (log1p.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64))
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (neg.f64 (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal -1 binary64))
(*.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log1p.f64 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 #s(literal 0 binary64) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x))) (fma.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (fma.f64 x x x)) (.f64 (log1p.f64 (.f64 x (*.f64 x x))) (log1p.f64 (fma.f64 x x x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (neg.f64 x))) (log1p.f64 (.f64 x (neg.f64 x))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)))))
(log1p.f64 x)
(log1p.f64 (neg.f64 x))
(log1p.f64 (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log1p.f64 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 #s(literal 0 binary64) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x))) (fma.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (fma.f64 x x x)) (.f64 (log1p.f64 (.f64 x (*.f64 x x))) (log1p.f64 (fma.f64 x x x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (neg.f64 x))) (log1p.f64 (.f64 x (neg.f64 x))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)))))
(log1p.f64 x)
(log1p.f64 (neg.f64 x))
(log1p.f64 (neg.f64 (neg.f64 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(-.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal -1 binary64) (neg.f64 x))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) (neg.f64 x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) (neg.f64 x))))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) (neg.f64 x)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) (neg.f64 x))))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x (.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
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(+.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))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 625/20736 binary64)) (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 625/20736 binary64)) (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 625/20736 binary64)) (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal 1/4 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 625/20736 binary64)) (fma.f64 (.f64 x x) #s(literal 25/144 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal 1/4 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 15625/2985984 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 625/20736 binary64) #s(literal 1/16 binary64)) (.f64 (*.f64 x x) #s(literal -25/576 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 625/20736 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal 1/4 binary64))))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(+.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))))
(-.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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.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) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 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 (-.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)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 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 1/9 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 (-.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 (.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))))
(/.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))))
(/.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 (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 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))))

eval168.0ms (2%)

Memory: -3.7MiB live, 222.9MiB allocated
Compiler: Compiled 22 381 to 2 298 computations (89.7% saved)

prune136.0ms (1.6%)

Memory

4.2MiB live, 166.1MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	834	2	836
Fresh	3	2	5
Picked	3	2	5
Done	0	4	4
Total	840	10	850

Accuracy

100.0%

Counts

850 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	3.3%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	99.4%	(/.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)))) #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
✓	99.3%	#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)))
▶	99.4%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	99.1%	#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)))
✓	98.9%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
▶	99.1%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	97.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 108 to 66 computations (38.9% saved)

simplify242.0ms (2.8%)

Memory

19.3MiB live, 215.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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)))) #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
cost-diff	0	(log1p.f64 (neg.f64 x))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (log1p.f64 x))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
cost-diff	0	(/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
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)) (log (+ 1 x))) (+.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
cost-diff	128	(+.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))

Rules

10 744×	`lower-fma.f32`
10 724×	`lower-fma.f64`
2 356×	`lower-*.f32`
2 348×	`lower-*.f64`
2 092×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	285
0	76	281
1	151	279
2	325	279
3	592	279
4	1024	279
5	1619	279
6	2997	279
7	4258	279
8	5889	279
9	6848	279
10	7372	279
11	7544	279
12	7840	279
0	8068	272

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

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

localize382.0ms (4.5%)

Memory

-2.5MiB live, 243.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
accuracy	0.0234375	(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
accuracy	0.4245881396948493	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
accuracy	0.43468635035677816	#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	(log1p.f64 (neg.f64 x))
accuracy	0	(log1p.f64 x)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (log1p.f64 x))
accuracy	0.171875	(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
accuracy	0.00390625	(fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))
accuracy	0.437488643869908	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	0.7558410427686068	#s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64))
accuracy	0	(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
accuracy	0	(+.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
accuracy	0.01953125	(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
accuracy	0.5752934381257472	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))

Samples

214.0ms	98×	2	valid
120.0ms	147×	1	valid
3.0ms	11×	0	valid

Compiler

Compiled 240 to 46 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 301.0ms

const: 116.0ms (38.6% of total)

adjust: 59.0ms (19.6% of total)

ival-mult: 38.0ms (12.6% of total)

ival-log: 33.0ms (11% of total)

ival-neg: 22.0ms (7.3% of total)

ival-add: 19.0ms (6.3% of total)

ival-div: 7.0ms (2.3% of total)

ival-sub: 4.0ms (1.3% of total)

ival-log1p: 3.0ms (1% of total)

exact: 1.0ms (0.3% of total)

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

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

series66.0ms (0.8%)

Memory

-23.5MiB live, 13.9MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (.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))) (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 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>) () ())
#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 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (patch (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<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)))) #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) 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)))) #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) 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 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (patch #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 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)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) #<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>) () ())
#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 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow x 2)) (taylor inf x) (#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)) (taylor inf x) (#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)) (taylor inf x) (#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow x 2)) (taylor -inf x) (#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)) (taylor -inf x) (#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2)) (taylor -inf x) (#s(alt (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (patch (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (.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))) (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (.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))) (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (.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))) (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (.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))) (+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (log (/ 1 x))) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 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 #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)) #<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>) () ())) ())
#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 (+ 1/3 (* -1/4 x)) (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 (+ 1/3 (* -1/4 x)) (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 (+ 1/3 (* -1/4 x)) (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 (* x (- (* 1/3 (/ 1 x)) 1/4)) (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 (* x (- (* 1/3 (/ 1 x)) 1/4)) (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 (* x (- (* 1/3 (/ 1 x)) 1/4)) (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

63 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ 1 (log (+ 1 x)))
1.0ms	x	@	inf	(/ 1 (log (+ 1 x)))
0.0ms	x	@	inf	(* x (+ (* x -1/2) -1))
0.0ms	x	@	-inf	(* x (+ (* x -1/2) -1))
0.0ms	x	@	0	(/ 1 (log (+ 1 x)))

simplify444.0ms (5.2%)

Memory

11.3MiB live, 250.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 568×	`lower-fma.f64`
12 568×	`lower-fma.f32`
5 462×	`lower-*.f64`
5 462×	`lower-*.f32`
4 142×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	5118
1	1148	4606
2	3838	4476
0	8733	4295

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

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

rewrite253.0ms (3%)

Memory

34.6MiB live, 419.7MiB allocated

Rules

5 058×	`lower-fma.f32`
5 038×	`lower-fma.f64`
3 854×	`lower-*.f32`
3 846×	`lower-*.f64`
3 680×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	238
0	76	231
1	343	231
2	2644	226
0	8837	219

Stop Event

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

Counts

21 → 463

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (neg.f64 x))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (/.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 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 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.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))) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))) (fma.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.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))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.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))) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))) (fma.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.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))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64)) (-.f64 (fma.f64 (.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))) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 x)))))
(/.f64 (fma.f64 (.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))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (.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))) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))))))
(/.f64 (neg.f64 (fma.f64 (.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))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (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))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.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))) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.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))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x)) (-.f64 (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (fma.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (neg.f64 x)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.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))) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))) (fma.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.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))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.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))) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 x)))))
(.f64 (fma.f64 (.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))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (neg.f64 x))
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(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 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))))
(-.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/12 binary64))))) (/.f64 #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 (/.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))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal -1/12 binary64))) (fma.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal -1/12 binary64))) (fma.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)) #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 #s(literal -1/64 binary64) (.f64 x (.f64 x x)) #s(literal 1/27 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 #s(literal -1/64 binary64) (.f64 x (.f64 x x)) #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 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 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)) #s(literal 1/27 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 #s(literal -1/64 binary64) (.f64 x (.f64 x x)) #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 (-.f64 (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x))) #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 (-.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))))
(/.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 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 (neg.f64 (-.f64 (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x))) #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 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)) #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))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal -1/12 binary64))) (fma.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)) #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 #s(literal -1/64 binary64) (.f64 x (.f64 x x)) #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 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))))

eval99.0ms (1.1%)

Memory: -0.6MiB live, 156.2MiB allocated
Compiler: Compiled 20 604 to 2 019 computations (90.2% saved)

prune131.0ms (1.5%)

Memory

2.1MiB live, 201.8MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	707	6	713
Fresh	0	0	0
Picked	1	3	4
Done	0	6	6
Total	708	15	723

Accuracy

100.0%

Counts

723 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	3.3%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	50.3%	(/.f64 #s(approx (log (- 1 x)) (/.f64 (-.f64 (.f64 (.f64 x (.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 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)))) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
✓	99.4%	(/.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)))) #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
	99.1%	(*.f64 #s(approx (/ 1 (log (+ 1 x))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (log1p.f64 (neg.f64 x)))
	99.0%	(*.f64 #s(approx (/ 1 (log (+ 1 x))) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (log1p.f64 (neg.f64 x)))
	99.4%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (/.f64 (.f64 x #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) x (+.f64 (neg.f64 x) #s(literal -1 binary64))))
✓	99.3%	#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)))
✓	99.4%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	99.1%	#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)))
	99.4%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (+.f64 (/.f64 (.f64 x #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
	99.4%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x (/.f64 #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
✓	98.9%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
✓	99.1%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	97.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 671 to 237 computations (64.7% saved)

regimes20.0ms (0.2%)

Memory

-18.4MiB live, 24.1MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 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 (*.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 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 x (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 (.f64 x #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64))) (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 (.f64 x #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) x (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (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))) #s(approx (+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1) (.f64 (.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 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)))) #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x (/.f64 #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (/.f64 (-.f64 (.f64 (.f64 x (.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 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)))) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
(*.f64 #s(approx (/ 1 (log (+ 1 x))) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 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 (/ 1 (log (+ 1 x))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (log1p.f64 (neg.f64 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 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 x x) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))

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

Calls

2 calls:

12.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
7.0ms	x

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 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 (*.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 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 x (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 (.f64 x #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64))) (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 (.f64 x #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) x (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 25/144 binary64) #s(literal -1/4 binary64)) (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))) #s(approx (+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1) (.f64 (.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 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)))) #s(approx (log (+ 1 x)) (fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x (/.f64 #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (/.f64 (-.f64 (.f64 (.f64 x (.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 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)))) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
(*.f64 #s(approx (/ 1 (log (+ 1 x))) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 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 (/ 1 (log (+ 1 x))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (log1p.f64 (neg.f64 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 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 x x) x)))

Outputs

#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (+.f64 (/.f64 (*.f64 x #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64))) (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
5.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	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)

regimes7.0ms (0.1%)

Memory

-31.4MiB live, 7.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 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 (*.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 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 x (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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
2.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	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

6.6MiB live, 6.6MiB 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))) (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 (*.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 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:

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
99.3%	1	`x`
99.3%	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

5.9MiB live, 5.9MiB 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))) (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 (*.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
99.1%	1	`x`
99.1%	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)

regimes3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB 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
97.8%	1	`x`
97.8%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	128
1	49	128
2	52	128
3	53	128

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (+.f64 (/.f64 (.f64 x #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64))) (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 (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (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 (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
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (+.f64 (/.f64 (.f64 x #s(approx (+ ( (* x x) 25/144) -1/4) #s(literal -1/4 binary64))) (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 (fma.f64 x (/.f64 #s(approx (+ (* (* x x) 25/144) -1/4) #s(literal -1/4 binary64)) (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 (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 (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))

soundness739.0ms (8.6%)

Memory

10.8MiB live, 441.6MiB allocated

Rules

15 566×	`lower-fma.f64`
15 566×	`lower-fma.f32`
12 270×	`lower-fma.f64`
12 270×	`lower-fma.f32`
5 372×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	5454
1	936	4914
2	3177	4566
0	8191	4405
0	217	1122
1	658	1000
2	2012	927
0	8297	900
0	44	238
0	76	231
1	343	231
2	2644	226
0	8837	219
0	28	125
0	48	125
1	195	125
2	1449	125
0	8324	119
0	7	23
0	12	23
1	41	23
2	245	23
3	2167	23
0	10440	15

Stop Event

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

Compiler

Compiled 206 to 114 computations (44.7% saved)

preprocess57.0ms (0.7%)

Memory: -23.2MiB live, 91.9MiB allocated
Compiler: Compiled 156 to 72 computations (53.8% 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%)

sample2.2s (26%)

explain198.0ms (2.3%)

preprocess20.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize73.0ms (0.9%)

series7.0ms (0.1%)

simplify249.0ms (2.9%)

rewrite202.0ms (2.4%)

eval143.0ms (1.7%)

prune132.0ms (1.5%)

simplify154.0ms (1.8%)

localize207.0ms (2.4%)

series12.0ms (0.1%)

simplify345.0ms (4%)

rewrite435.0ms (5.1%)

eval104.0ms (1.2%)

prune94.0ms (1.1%)

simplify269.0ms (3.1%)

localize315.0ms (3.7%)

series16.0ms (0.2%)

simplify297.0ms (3.5%)

rewrite296.0ms (3.4%)

eval168.0ms (2%)

prune136.0ms (1.6%)

simplify242.0ms (2.8%)

localize382.0ms (4.5%)

series66.0ms (0.8%)

simplify444.0ms (5.2%)

rewrite253.0ms (3%)

eval99.0ms (1.1%)

prune131.0ms (1.5%)

regimes20.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify6.0ms (0.1%)

soundness739.0ms (8.6%)

preprocess57.0ms (0.7%)

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