Metrics for Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze163.0ms (1.8%)

Memory

3.1MiB live, 319.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
3.2%	3.1%	93.7%	0.1%	0%	3.1%	0%	6
15.8%	14%	74.9%	0.1%	0%	10.9%	0%	7
22.1%	19.5%	68.7%	0.1%	0%	11.7%	0%	8
31.8%	26.9%	57.8%	0.1%	0%	15.2%	0%	9
36.3%	30.6%	53.9%	0.1%	0%	15.4%	0%	10
42%	34.8%	48%	0.1%	0%	17.1%	0%	11
44.6%	36.9%	45.9%	0.1%	0%	17.1%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.8s (19%)

Memory

23.3MiB live, 2 663.0MiB allocated

Samples

541.0ms	5 920×	0	valid
378.0ms	2 336×	1	valid
158.0ms	1 131×	1	invalid
131.0ms	1 658×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 882.0ms

ival-sub: 414.0ms (46.9% of total)

ival-log: 244.0ms (27.7% of total)

ival-div: 113.0ms (12.8% of total)

adjust: 91.0ms (10.3% of total)

ival-true: 8.0ms (0.9% of total)

exact: 7.0ms (0.8% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain205.0ms (2.2%)

Memory

17.1MiB live, 295.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
98	-	-	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
72	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`
0	-	-	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
0	-	-	`y`
0	-	-	`(-.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`	sensitivity	98	0
`-.f64`	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`	cancellation	72	0

Confusion

	Predicted +	Predicted -
+	72	0
-	98	86

Precision

0.4235294117647059

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	98	0	86

Precision?

0.4235294117647059

Recall?

1.0

Freqs

test

number	freq
0	86
1	170

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	296×	1	valid
48.0ms	188×	0	valid
10.0ms	28×	2	valid

Compiler

Compiled 110 to 31 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-log: 37.0ms (53.7% of total)

ival-sub: 16.0ms (23.2% of total)

adjust: 9.0ms (13.1% of total)

ival-div: 6.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess114.0ms (1.2%)

Memory

-29.3MiB live, 91.9MiB allocated

Algorithm

1×	egg-herbie

Rules

540×	`lower-fma.f64`
540×	`lower-fma.f32`
356×	`sub-neg`
332×	`times-frac`
296×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	68
1	64	62
2	172	60
3	430	60
4	967	60
5	1883	60
6	2365	60
7	2526	60
8	2571	60
9	2585	60
10	2585	60
0	9	12
0	15	12
1	27	12
2	46	12
3	97	12
4	222	12
5	453	12
6	801	12
7	985	12
8	1028	12
9	1057	12
0	1057	10

Stop Event

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

Calls

Call 1

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

Outputs

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

(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.2%	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify28.0ms (0.3%)

Memory

5.3MiB live, 42.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

540×	`lower-fma.f64`
540×	`lower-fma.f32`
232×	`lower-*.f64`
232×	`lower-*.f32`
176×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
0	15	47
1	27	47
2	46	47
3	97	47
4	222	47
5	453	47
6	801	47
7	985	47
8	1028	47
9	1057	47
0	1057	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (0.7%)

Memory

-28.1MiB live, 109.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
accuracy	0.0234375	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
accuracy	16.86083007871781	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
accuracy	21.905147310614872	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))

Samples

30.0ms	148×	1	valid
7.0ms	94×	0	valid
5.0ms	14×	2	valid

Compiler

Compiled 49 to 11 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-log: 10.0ms (34.3% of total)

ival-sub: 8.0ms (27.4% of total)

ival-div: 6.0ms (20.6% of total)

adjust: 5.0ms (17.1% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

33.7MiB live, 33.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#s(alt (log (- 1 x)) (taylor 0 y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) (taylor 0 y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x)))))) (taylor 0 y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x)))))) (taylor 0 y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (log (- 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (+ 1 (* -1 x)))) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))) (taylor inf y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))) (taylor inf y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))) (taylor inf y) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ())
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#s(alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x)))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) (patch (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (- 1 y))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify134.0ms (1.5%)

Memory

12.0MiB live, 238.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 656×	`lower-fma.f64`
6 656×	`lower-fma.f32`
3 954×	`lower-+.f64`
3 954×	`lower-+.f32`
2 636×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	432	2626
1	1404	2020
2	4892	1789
0	8556	1696

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

Inputs
(log (- 1 x))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))
(- 1 (log (- 1 x)))
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
(- 1 x)
(- (+ 1 (* y (+ 1 (* -1 x)))) x)
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x)
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))
(- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))))
(- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x)))))))
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))))
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))
(* -1 (/ (+ 1 (* -1 x)) y))
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y)
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y)
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+ (log (- 1 x)) (log (/ -1 y)))
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y))))
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))
(- 1 (+ (log (- 1 x)) (log (/ -1 y))))
(- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))
(* -1 (/ (- 1 x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(log (+ 1 (/ y (- 1 y))))
(+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))
(- 1 (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))
(+ 1 (/ y (- 1 y)))
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))))))
(- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))))
(- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))
(* -1 (/ x (- 1 y)))
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(* -1 (/ x (- 1 y)))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))

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

rewrite139.0ms (1.5%)

Memory

-3.5MiB live, 277.9MiB allocated

Rules

4 848×	`lower-fma.f64`
4 848×	`lower-fma.f32`
4 138×	`lower-*.f64`
4 138×	`lower-*.f32`
3 436×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	15	38
1	77	38
2	662	38
0	8723	34

Stop Event

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

Counts

4 → 261

Calls

Call 1

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

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

eval209.0ms (2.3%)

Memory: -27.1MiB live, 143.2MiB allocated
Compiler: Compiled 10 002 to 1 608 computations (83.9% saved)

prune112.0ms (1.2%)

Memory

-4.9MiB live, 116.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	346	10	356
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	347	10	357

Accuracy

100.0%

Counts

357 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.2%	(-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))
	40.0%	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))))))
▶	2.3%	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
	39.3%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))))
▶	40.9%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
	43.5%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
	63.2%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))))
	61.0%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
▶	40.0%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
▶	63.2%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 230 to 178 computations (22.6% saved)

simplify188.0ms (2%)

Memory

-5.3MiB live, 191.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 x #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
cost-diff	0	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
cost-diff	0	(/.f64 y (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
cost-diff	0	#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
cost-diff	64	(log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
cost-diff	0	(neg.f64 x)
cost-diff	0	(log1p.f64 (neg.f64 x))
cost-diff	0	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
cost-diff	0	(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	(+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	28992	(-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))

Rules

12 170×	`lower-fma.f64`
12 170×	`lower-fma.f32`
2 398×	`lower-*.f64`
2 398×	`lower-*.f32`
1 796×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	309
0	61	309
1	98	309
2	152	301
3	265	301
4	451	301
5	784	301
6	1296	292
7	1643	292
8	2102	290
9	2322	290
10	2490	277
11	2802	277
12	4050	277
13	5556	277
14	7087	277
15	7973	277
0	8046	275

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))
(pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
(-.f64 y x)
y
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
#s(literal 1 binary64)
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
#s(literal 1 binary64)
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/.f64 y (-.f64 #s(literal 1 binary64) y))
y
(-.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
#s(literal 1 binary64)
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(-.f64 x #s(literal 1 binary64))
x
y

Outputs
(-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(-.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
(-.f64 y x)
y
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (-.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
#s(literal 1 binary64)
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(log1p.f64 (neg.f64 #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
#s(literal 1 binary64)
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/.f64 y (-.f64 #s(literal 1 binary64) y))
y
(-.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
#s(literal 1 binary64)
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(-.f64 x #s(literal 1 binary64))
x
y

localize269.0ms (2.9%)

Memory

28.1MiB live, 348.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
accuracy	0.01171875	(/.f64 (-.f64 x #s(literal 1 binary64)) y)
accuracy	21.905147310614872	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
accuracy	37.716376833457666	#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
accuracy	0.01171875	(/.f64 y (-.f64 #s(literal 1 binary64) y))
accuracy	17.78436257652761	(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
accuracy	33.00914740671258	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
accuracy	14.707895053683673	(-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))
accuracy	21.905147310614872	(log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
accuracy	40.829856505010746	#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(log1p.f64 (neg.f64 x))
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
accuracy	28.194500881372832	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))
accuracy	0.1484375	(-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))
accuracy	0.19140625	(/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
accuracy	0.3014450195368841	(pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
accuracy	14.945448978174666	(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))

Samples

133.0ms	122×	1	valid
62.0ms	43×	2	valid
42.0ms	66×	0	valid
5.0ms	25×	0	invalid

Compiler

Compiled 285 to 27 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

adjust: 60.0ms (40.8% of total)

ival-div: 33.0ms (22.5% of total)

ival-log1p: 15.0ms (10.2% of total)

ival-sub: 13.0ms (8.8% of total)

ival-log: 10.0ms (6.8% of total)

ival-pow: 6.0ms (4.1% of total)

ival-pow2: 4.0ms (2.7% of total)

ival-add: 2.0ms (1.4% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series112.0ms (1.2%)

Memory

3.3MiB live, 279.1MiB allocated

Counts

22 → 480

Calls

Call 1

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

Outputs
#s(alt (- (/ 1 (+ 1 (log (- 1 x)))) (/ (pow (log (- 1 x)) 2) (+ 1 (log (- 1 x))))) (taylor 0 y) (#s(alt (-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) (patch (-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* y (- (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2)) (+ (* -1 (/ x (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (+ (* 2 (/ (* (log (- 1 x)) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (/ 1 (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x))))))) (/ 1 (+ 1 (log (- 1 x))))) (/ (pow (log (- 1 x)) 2) (+ 1 (log (- 1 x))))) (taylor 0 y) (#s(alt (-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) (patch (-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* y (- (+ (* y (- (+ (* 1/2 (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))) (pow (+ 1 (log (- 1 x))) 2))) (/ (* (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) (- (* 2 (/ (* (log (- 1 x)) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2)))) (+ 1 (log (- 1 x))))) (+ (* -1 (/ (* (+ (* -1 (/ x (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (/ 1 (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2))) (+ (/ (* (log (- 1 x)) (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))) (+ 1 (log (- 1 x)))) (/ (pow (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) 2) (+ 1 (log (- 1 x))))))))) (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2))) (+ (* -1 (/ x (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (+ (* 2 (/ (* (log (- 1 x)) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (/ 1 (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x))))))) (/ 1 (+ 1 (log (- 1 x))))) (/ (pow (log (- 1 x)) 2) (+ 1 (log (- 1 x))))) (taylor 0 y) (#s(alt (-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) (patch (-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* y (- (+ (* y (- (+ (* 1/2 (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))) (pow (+ 1 (log (- 1 x))) 2))) (+ (* y (- (+ (* 1/6 (/ (* (pow (log (- 1 x)) 2) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x)))))) (pow (+ 1 (log (- 1 x))) 2))) (+ (* 1/2 (/ (* (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) (- (* 2 (/ (* (log (- 1 x)) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2)))) (+ 1 (log (- 1 x))))) (/ (* (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) (- (+ (/ (* (log (- 1 x)) (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))) (+ 1 (log (- 1 x)))) (/ (pow (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) 2) (+ 1 (log (- 1 x))))) (+ (* 1/2 (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))) (pow (+ 1 (log (- 1 x))) 2))) (/ (* (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) (- (* 2 (/ (* (log (- 1 x)) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2)))) (+ 1 (log (- 1 x))))))) (+ 1 (log (- 1 x)))))) (+ (* -1 (/ (* (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) (+ (* -1 (/ (* (+ (* -1 (/ x (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (/ 1 (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (* 1/2 (/ (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2))))) (+ 1 (log (- 1 x))))) (+ (* -1/2 (/ (* (+ (* -1 (/ x (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (/ 1 (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))) (+ 1 (log (- 1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))) (pow (+ 1 (log (- 1 x))) 2))) (+ (* 1/3 (/ (* (log (- 1 x)) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ 1 (log (- 1 x))))) (/ (* (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))) (+ 1 (log (- 1 x)))))))))) (/ (* (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) (- (* 2 (/ (* (log (- 1 x)) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2)))) (+ 1 (log (- 1 x)))))) (+ (* -1 (/ (* (+ (* -1 (/ x (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (/ 1 (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2))) (+ (/ (* (log (- 1 x)) (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))) (+ 1 (log (- 1 x)))) (/ (pow (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) 2) (+ 1 (log (- 1 x))))))))) (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2))) (+ (* -1 (/ x (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (+ (* 2 (/ (* (log (- 1 x)) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (/ 1 (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x))))))) (/ 1 (+ 1 (log (- 1 x))))) (/ (pow (log (- 1 x)) 2) (+ 1 (log (- 1 x))))) (taylor 0 y) (#s(alt (-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) (patch (-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	y	@	-inf	((- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) (log (+ 1 (/ (- y x) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (/ (- x y) (- 1 y))) (/ (- x y) (- 1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (/ y (- 1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1)))
15.0ms	y	@	inf	((- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) (log (+ 1 (/ (- y x) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (/ (- x y) (- 1 y))) (/ (- x y) (- 1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (/ y (- 1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1)))
13.0ms	x	@	inf	((- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) (log (+ 1 (/ (- y x) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (/ (- x y) (- 1 y))) (/ (- x y) (- 1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (/ y (- 1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1)))
11.0ms	x	@	0	((- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) (log (+ 1 (/ (- y x) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (/ (- x y) (- 1 y))) (/ (- x y) (- 1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (/ y (- 1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1)))
11.0ms	x	@	-inf	((- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) (log (+ 1 (/ (- y x) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (/ (- x y) (- 1 y))) (/ (- x y) (- 1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (/ y (- 1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1)))

simplify337.0ms (3.7%)

Memory

2.4MiB live, 437.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 532×	`lower-fma.f64`
5 532×	`lower-fma.f32`
5 148×	`lower-*.f64`
5 148×	`lower-*.f32`
4 448×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1573	33470
1	5355	29020
0	8430	27664

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 477

Calls

Call 1

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

rewrite237.0ms (2.6%)

Memory

-1.7MiB live, 270.2MiB allocated

Rules

5 194×	`lower-/.f32`
5 186×	`lower-/.f64`
4 836×	`lower-fma.f64`
4 836×	`lower-fma.f32`
3 666×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	277
0	61	277
1	288	253
2	2495	253
0	9750	243

Stop Event

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

Counts

22 → 494

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))
(pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))

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

eval192.0ms (2.1%)

Memory: 13.1MiB live, 411.1MiB allocated
Compiler: Compiled 53 593 to 4 077 computations (92.4% saved)

prune221.0ms (2.4%)

Memory

4.0MiB live, 322.8MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 103	13	1 116
Fresh	1	4	5
Picked	2	3	5
Done	0	0	0
Total	1 106	20	1 126

Accuracy

100.0%

Counts

1 126 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.0%	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))))))
	39.3%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))))
✓	40.9%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
▶	43.5%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
	22.7%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))))
	23.3%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y)))))
▶	61.0%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
✓	40.0%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
✓	63.2%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
	39.8%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))))
	41.0%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 x)))
	22.1%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))))
	38.6%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
▶	39.2%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
	38.6%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))))
	41.4%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
	42.0%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
	41.3%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))))
▶	42.2%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
▶	63.1%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))))

Compiler

Compiled 404 to 361 computations (10.6% saved)

simplify217.0ms (2.4%)

Memory

-17.3MiB live, 154.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (+.f64 #s(literal -1 binary64) y))
cost-diff	0	#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
cost-diff	0	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
cost-diff	0	(log1p.f64 (neg.f64 x))
cost-diff	0	(+.f64 y (log1p.f64 (neg.f64 x)))
cost-diff	0	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))
cost-diff	0	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (log (+ 1 (neg x))) (neg.f64 x))
cost-diff	0	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
cost-diff	0	(+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))))
cost-diff	21312	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))))

Rules

9 040×	`lower-fma.f32`
9 036×	`lower-fma.f64`
2 800×	`lower-*.f32`
2 798×	`lower-*.f64`
1 680×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	371
0	73	371
1	114	371
2	188	371
3	368	371
4	755	371
5	1405	371
6	2789	352
7	3425	352
8	4046	346
9	4282	346
10	4426	315
11	4627	315
12	5379	315
13	6022	315
14	6565	315
15	7453	315
0	8109	295

Stop Event

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

Calls

Call 1

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

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

localize246.0ms (2.7%)

Memory

8.1MiB live, 234.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
accuracy	0.01171875	(/.f64 x (+.f64 #s(literal -1 binary64) y))
accuracy	21.905147310614872	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))
accuracy	37.11863544885465	#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(log1p.f64 (neg.f64 x))
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
accuracy	18.926949800489623	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))
accuracy	0.03125	(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)
accuracy	0.0703125	(fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64))
accuracy	18.698713203624504	#s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))
accuracy	33.00914740671258	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))
accuracy	0	(neg.f64 x)
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
accuracy	19.50510870936702	#s(approx (log (+ 1 (neg x))) (neg.f64 x))
accuracy	28.194500881372832	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))
accuracy	0.1015625	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))))
accuracy	0.1171875	(/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
accuracy	0.16634750976844204	(pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))
accuracy	17.290097236838754	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))))

Samples

103.0ms	122×	1	valid
57.0ms	43×	2	valid
34.0ms	25×	0	invalid
19.0ms	66×	0	valid

Compiler

Compiled 287 to 40 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

adjust: 38.0ms (27.9% of total)

ival-div: 22.0ms (16.1% of total)

ival-sub: 14.0ms (10.3% of total)

ival-log1p: 13.0ms (9.5% of total)

ival-add: 10.0ms (7.3% of total)

ival-log: 10.0ms (7.3% of total)

ival-pow2: 8.0ms (5.9% of total)

const: 7.0ms (5.1% of total)

ival-pow: 6.0ms (4.4% of total)

ival-mult: 6.0ms (4.4% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series70.0ms (0.8%)

Memory

13.6MiB live, 94.2MiB allocated

Counts

23 → 420

Calls

Call 1

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

Outputs
#s(alt (- (/ 1 (+ 1 (log (- 1 x)))) (/ (pow (log (- 1 x)) 2) (+ 1 (log (- 1 x))))) (taylor 0 y) (#s(alt #s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))))) (patch #s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* y (- (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2)) (+ (* -1 (/ x (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (+ (* 2 (/ (* (log (- 1 x)) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (/ 1 (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x))))))) (/ 1 (+ 1 (log (- 1 x))))) (/ (pow (log (- 1 x)) 2) (+ 1 (log (- 1 x))))) (taylor 0 y) (#s(alt #s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))))) (patch #s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* y (- (+ (* y (- (+ (* 1/2 (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))) (pow (+ 1 (log (- 1 x))) 2))) (/ (* (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) (- (* 2 (/ (* (log (- 1 x)) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2)))) (+ 1 (log (- 1 x))))) (+ (* -1 (/ (* (+ (* -1 (/ x (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (/ 1 (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2))) (+ (/ (* (log (- 1 x)) (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))) (+ 1 (log (- 1 x)))) (/ (pow (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) 2) (+ 1 (log (- 1 x))))))))) (/ (* (pow (log (- 1 x)) 2) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (pow (+ 1 (log (- 1 x))) 2))) (+ (* -1 (/ x (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x)))) (+ (* 2 (/ (* (log (- 1 x)) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (+ 1 (log (- 1 x))))) (/ 1 (* (pow (+ 1 (log (- 1 x))) 2) (- 1 x))))))) (/ 1 (+ 1 (log (- 1 x))))) (/ (pow (log (- 1 x)) 2) (+ 1 (log (- 1 x))))) (taylor 0 y) (#s(alt #s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))))) (patch #s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (- 1 (log (- 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y	@	0	((- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/ 1 (+ (log (+ 1 (neg x))) 1)) (+ (log (+ 1 (neg x))) 1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (* (+ (* (+ (* 1/3 y) 1/2) y) 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (log (+ 1 (neg x))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (pow (log (+ 1 (neg x))) 2) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1)) (+ (* 1/3 y) 1/2))
8.0ms	y	@	inf	((- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/ 1 (+ (log (+ 1 (neg x))) 1)) (+ (log (+ 1 (neg x))) 1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (* (+ (* (+ (* 1/3 y) 1/2) y) 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (log (+ 1 (neg x))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (pow (log (+ 1 (neg x))) 2) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1)) (+ (* 1/3 y) 1/2))
8.0ms	x	@	inf	((- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/ 1 (+ (log (+ 1 (neg x))) 1)) (+ (log (+ 1 (neg x))) 1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (* (+ (* (+ (* 1/3 y) 1/2) y) 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (log (+ 1 (neg x))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (pow (log (+ 1 (neg x))) 2) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1)) (+ (* 1/3 y) 1/2))
6.0ms	x	@	-inf	((- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/ 1 (+ (log (+ 1 (neg x))) 1)) (+ (log (+ 1 (neg x))) 1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (* (+ (* (+ (* 1/3 y) 1/2) y) 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (log (+ 1 (neg x))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (pow (log (+ 1 (neg x))) 2) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1)) (+ (* 1/3 y) 1/2))
3.0ms	y	@	-inf	((- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/ 1 (+ (log (+ 1 (neg x))) 1)) (+ (log (+ 1 (neg x))) 1) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (neg x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (* (+ (* (+ (* 1/3 y) 1/2) y) 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (log (+ 1 (neg x))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (pow (log (+ 1 (neg x))) 2) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1)) (+ (* 1/3 y) 1/2))

simplify246.0ms (2.7%)

Memory

-12.1MiB live, 335.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 598×	`lower-fma.f64`
5 598×	`lower-fma.f32`
5 002×	`lower-*.f64`
5 002×	`lower-*.f32`
4 384×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1481	23243
1	4987	19903
0	8386	18913

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 415

Calls

Call 1

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

rewrite182.0ms (2%)

Memory

12.2MiB live, 199.4MiB allocated

Rules

4 094×	`lower-/.f32`
4 088×	`lower-/.f64`
2 958×	`lower-*.f32`
2 956×	`lower-*.f64`
2 684×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	338
0	73	326
1	373	282
2	3322	282
0	8531	267

Stop Event

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

Counts

23 → 412

Calls

Call 1

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

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

eval151.0ms (1.6%)

Memory: 2.7MiB live, 239.7MiB allocated
Compiler: Compiled 36 735 to 4 025 computations (89% saved)

prune185.0ms (2%)

Memory

-4.2MiB live, 321.8MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1 072	11	1 083
Fresh	3	9	12
Picked	4	1	5
Done	0	3	3
Total	1 079	24	1 103

Accuracy

100.0%

Counts

1 103 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.0%	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))))))
	39.3%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))))
✓	40.9%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
✓	43.5%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
	22.7%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))))
	23.3%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y)))))
	24.4%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))))
	26.4%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
✓	40.0%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
✓	63.2%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
▶	39.8%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))))
	41.0%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 x)))
	40.8%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
	39.2%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y) y y))))
	22.1%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))))
	38.6%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
▶	38.6%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
	42.1%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))))
▶	41.4%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
▶	63.1%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))))
	42.0%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
	41.3%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
	42.2%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 x #s(literal 1 binary64))))
▶	41.4%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))

Compiler

Compiled 447 to 408 computations (8.7% saved)

simplify133.0ms (1.4%)

Memory

13.4MiB live, 125.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))
cost-diff	0	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))))
cost-diff	128	(*.f64 (+.f64 y #s(literal 1 binary64)) y)
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
cost-diff	0	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))
cost-diff	0	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
cost-diff	0	#s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))
cost-diff	0	(+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))))
cost-diff	13184	(/.f64 (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))

Rules

7 142×	`lower-fma.f32`
7 134×	`lower-fma.f64`
2 346×	`lower-*.f32`
2 340×	`lower-*.f64`
1 712×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	504
0	94	504
1	144	504
2	251	500
3	523	488
4	1152	488
5	2458	488
6	4560	432
7	6421	428
8	7732	428
0	8023	391

Stop Event

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

Calls

Call 1

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

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

localize251.0ms (2.7%)

Memory

-7.2MiB live, 393.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (+.f64 y #s(literal 1 binary64)) y)
accuracy	17.78436257652761	(log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))
accuracy	19.472731317265833	#s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))
accuracy	33.00914740671258	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))))
accuracy	0.03125	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
accuracy	0.04296875	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
accuracy	19.374621979821992	#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
accuracy	28.194500881372832	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))
accuracy	0.03125	(.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)
accuracy	18.698713203624504	#s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))
accuracy	19.632029438536176	#s(approx (+ (* 1/3 y) 1/2) #s(literal 1/2 binary64))
accuracy	33.00914740671258	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))
accuracy	17.290097236838754	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))
accuracy	20.346452507475586	#s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64))
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))))
accuracy	0.12728500976844204	(/.f64 (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))
accuracy	0.16634750976844204	(pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))
accuracy	17.290097236838754	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))))

Samples

127.0ms	121×	1	valid
50.0ms	43×	2	valid
29.0ms	67×	0	valid
8.0ms	25×	0	invalid

Compiler

Compiled 355 to 52 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-add: 29.0ms (16.1% of total)

adjust: 27.0ms (15% of total)

ival-log1p: 26.0ms (14.5% of total)

ival-div: 22.0ms (12.2% of total)

ival-mult: 21.0ms (11.7% of total)

ival-sub: 17.0ms (9.5% of total)

const: 10.0ms (5.6% of total)

ival-log: 10.0ms (5.6% of total)

ival-pow2: 8.0ms (4.5% of total)

ival-pow: 6.0ms (3.3% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series50.0ms (0.5%)

Memory

32.9MiB live, 110.1MiB allocated

Counts

22 → 360

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (+ (log (+ 1 (neg x))) 1) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (* (+ (* (+ (* 1/3 y) 1/2) y) 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (* (+ y 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (pow (log (+ 1 (neg x))) 2) (+ (* 1/3 y) 1/2) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (/ y (- 1 y)))
5.0ms	x	@	-inf	((/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (+ (log (+ 1 (neg x))) 1) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (* (+ (* (+ (* 1/3 y) 1/2) y) 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (* (+ y 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (pow (log (+ 1 (neg x))) 2) (+ (* 1/3 y) 1/2) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (/ y (- 1 y)))
2.0ms	y	@	-inf	((/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (+ (log (+ 1 (neg x))) 1) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (* (+ (* (+ (* 1/3 y) 1/2) y) 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (* (+ y 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (pow (log (+ 1 (neg x))) 2) (+ (* 1/3 y) 1/2) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (/ y (- 1 y)))
2.0ms	y	@	inf	((/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (+ (log (+ 1 (neg x))) 1) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (* (+ (* (+ (* 1/3 y) 1/2) y) 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (* (+ y 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (pow (log (+ 1 (neg x))) 2) (+ (* 1/3 y) 1/2) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (/ y (- 1 y)))
2.0ms	y	@	0	((/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (+ (log (+ 1 (neg x))) 1) (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (* (+ (* (+ (* 1/3 y) 1/2) y) 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (* (+ y 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))) (pow (log (+ 1 (neg x))) 2) (+ (* 1/3 y) 1/2) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (/ y (- 1 y)))

simplify243.0ms (2.6%)

Memory

-4.0MiB live, 351.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 334×	`lower-*.f64`
5 334×	`lower-*.f32`
5 214×	`lower-fma.f64`
5 214×	`lower-fma.f32`
4 278×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1555	32180
1	5333	28048
0	8416	26791

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 355

Calls

Call 1

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

rewrite515.0ms (5.6%)

Memory

-22.2MiB live, 179.9MiB allocated

Rules

4 556×	`lower-/.f32`
4 552×	`lower-/.f64`
3 560×	`lower-*.f32`
3 554×	`lower-*.f64`
3 168×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	453
0	94	441
1	445	343
2	3840	343
0	9797	317

Stop Event

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

Counts

22 → 420

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (neg.f64 x))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 x (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x))
(*.f64 #s(approx (/ y (- 1 y)) (fma.f64 y y y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ y (- 1 y)) (fma.f64 y y y)))
#s(approx (/ y (- 1 y)) (fma.f64 y y y))

eval243.0ms (2.6%)

Memory: 20.5MiB live, 170.5MiB allocated
Compiler: Compiled 38 879 to 3 337 computations (91.4% saved)

prune387.0ms (4.2%)

Memory

-184.0MiB live, 244.9MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	769	6	775
Fresh	3	12	15
Picked	1	4	5
Done	0	4	4
Total	773	26	799

Accuracy

100.0%

Counts

799 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.0%	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))))))
	39.3%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))))
✓	40.9%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
✓	43.5%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
	22.7%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))))
	23.3%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y)))))
	24.4%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))))
	26.4%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
✓	40.0%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
✓	63.2%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
	39.2%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) #s(approx (* (+ y 1) y) (*.f64 y y))))))
	41.0%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 x)))
	40.8%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
	39.2%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y) y y))))
	38.6%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (.f64 (.f64 #s(approx (+ (* 1/3 y) 1/2) #s(literal 1/2 binary64)) y) y) y))))
	22.1%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))))
	38.6%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
✓	38.6%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
	42.1%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))))
✓	41.4%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
✓	63.1%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))))
	41.6%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (-.f64 #s(literal 1 binary64) x))))
	42.0%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
	41.3%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
	42.2%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (+.f64 x #s(literal 1 binary64))))
✓	41.4%	#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))

Compiler

Compiled 692 to 445 computations (35.7% saved)

regimes76.0ms (0.8%)

Memory

-24.2MiB live, 181.2MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (.f64 (.f64 #s(approx (+ (* 1/3 y) 1/2) #s(literal 1/2 binary64)) y) y) y))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y) y y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 x)))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) #s(approx (* (+ y 1) y) (*.f64 y y))))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))

Outputs

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

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

Calls

6 calls:

15.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
15.0ms	x
12.0ms	y
11.0ms	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
11.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
81.5%	3	`x`
99.9%	3	`y`
99.9%	2	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
99.9%	2	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
99.9%	2	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
99.9%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 40 to 34 computations (15% saved)

regimes42.0ms (0.5%)

Memory

11.9MiB live, 89.2MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (.f64 (.f64 #s(approx (+ (* 1/3 y) 1/2) #s(literal 1/2 binary64)) y) y) y))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y) y y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 x)))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) #s(approx (* (+ y 1) y) (*.f64 y y))))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))))

Outputs

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

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

Calls

4 calls:

11.0ms	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
10.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
10.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
9.0ms	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))

Results

Accuracy	Segments	Branch
99.8%	2	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
99.8%	2	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
99.8%	2	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
99.8%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes112.0ms (1.2%)

Memory

-4.5MiB live, 113.7MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (.f64 (.f64 #s(approx (+ (* 1/3 y) 1/2) #s(literal 1/2 binary64)) y) y) y))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y) y y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 x)))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) #s(approx (* (+ y 1) y) (*.f64 y y))))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (+.f64 #s(literal -1 binary64) y))))))

Outputs

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

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

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

Calls

5 calls:

63.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
17.0ms	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
12.0ms	y
9.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
8.0ms	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))

Results

Accuracy	Segments	Branch
98.6%	3	`y`
98.6%	3	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
98.6%	3	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
98.6%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
98.6%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 39 to 32 computations (17.9% saved)

regimes66.0ms (0.7%)

Memory

18.5MiB live, 95.3MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (.f64 (.f64 #s(approx (+ (* 1/3 y) 1/2) #s(literal 1/2 binary64)) y) y) y))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y) y y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 x)))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) #s(approx (* (+ y 1) y) (*.f64 y y))))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))

Outputs

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

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

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

Calls

5 calls:

26.0ms	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
11.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
10.0ms	y
9.0ms	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
8.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
91.2%	3	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
91.2%	3	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
91.2%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
91.2%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`
89.9%	3	`y`

Compiler

Compiled 39 to 32 computations (17.9% saved)

regimes54.0ms (0.6%)

Memory

1.3MiB live, 82.4MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (.f64 (.f64 #s(approx (+ (* 1/3 y) 1/2) #s(literal 1/2 binary64)) y) y) y))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y) y y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 x)))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) #s(approx (* (+ y 1) y) (*.f64 y y))))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))

Outputs

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

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

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

Calls

5 calls:

15.0ms	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
11.0ms	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
9.0ms	y
8.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
89.9%	3	`y`
80.7%	2	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
80.7%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`
80.7%	2	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
80.7%	2	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 39 to 32 computations (17.9% saved)

regimes45.0ms (0.5%)

Memory

15.5MiB live, 91.0MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (.f64 (.f64 #s(approx (+ (* 1/3 y) 1/2) #s(literal 1/2 binary64)) y) y) y))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y) y y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 x)))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) #s(approx (* (+ y 1) y) (*.f64 y y))))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y)))))

Outputs

(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))

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

Calls

5 calls:

10.0ms	y
9.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
9.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
8.0ms	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
7.0ms	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))

Results

Accuracy	Segments	Branch
80.7%	2	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
80.7%	2	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
80.7%	2	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
80.7%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`
80.2%	2	`y`

Compiler

Compiled 39 to 32 computations (17.9% saved)

regimes58.0ms (0.6%)

Memory

-26.9MiB live, 91.1MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (.f64 (.f64 #s(approx (+ (* 1/3 y) 1/2) #s(literal 1/2 binary64)) y) y) y))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y) y y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 x)))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) #s(approx (* (+ y 1) y) (*.f64 y y))))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 #s(approx (/ y (- 1 y)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 (fma.f64 y x x))))))

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

Calls

6 calls:

12.0ms	x
11.0ms	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
8.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
8.0ms	y
7.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
63.2%	1	`x`
63.2%	1	`y`
63.2%	1	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
63.2%	1	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
63.2%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
63.2%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 40 to 34 computations (15% saved)

regimes47.0ms (0.5%)

Memory

-0.9MiB live, 77.5MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (.f64 (fma.f64 #s(approx (+ ( 1/3 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (+.f64 (.f64 (.f64 #s(approx (+ (* 1/3 y) 1/2) #s(literal 1/2 binary64)) y) y) y))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (/ 1 (/ (+ (log (+ 1 (neg x))) 1) (- 1 (pow (log (+ 1 (neg x))) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) y #s(literal 1/2 binary64)) y) y y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (/ y (- 1 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal 1/3 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 x)))

Outputs

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

Calls

6 calls:

13.0ms	x
8.0ms	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
6.0ms	y
6.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
6.0ms	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))

Results

Accuracy	Segments	Branch
42.2%	1	`x`
42.2%	1	`y`
42.2%	1	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
42.2%	1	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
42.2%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
42.2%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 40 to 34 computations (15% saved)

regimes8.0ms (0.1%)

Memory

33.1MiB live, 33.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))

Outputs

#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))

Calls

6 calls:

1.0ms	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
1.0ms	y
1.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
1.0ms	x
1.0ms	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))

Results

Accuracy	Segments	Branch
41.4%	1	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
41.4%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`
41.4%	1	`x`
41.4%	1	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
41.4%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
41.4%	1	`y`

Compiler

Compiled 40 to 34 computations (15% saved)

bsearch3.0ms (0%)

Memory

-33.9MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.30822854596472443	0.999999981350169

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999999981350169	0.9999999999221867

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch246.0ms (2.7%)

Memory

24.7MiB live, 262.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
214.0ms	0.0028301723084220246	1.933077407851846e+30
14.0ms	-10900.882827473622	-0.44556412983905364

Samples

167.0ms	1 338×	0	invalid
19.0ms	304×	0	valid

Compiler

Compiled 338 to 356 computations (-5.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-sub: 118.0ms (82% of total)

ival-div: 12.0ms (8.3% of total)

ival-log: 11.0ms (7.6% of total)

ival-true: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-assert: 1.0ms (0.7% of total)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	19385.606046355173	7828396.083220454
0.0ms	1.8649831012851337e-8	0.6917714540352755

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch16.0ms (0.2%)

Memory

-21.6MiB live, 19.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0028301723084220246	1.933077407851846e+30
13.0ms	-10900.882827473622	-0.44556412983905364

Samples

6.0ms	96×	0	valid
0.0ms	5×	0	invalid

Compiler

Compiled 319 to 364 computations (-14.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 2.0ms (51.9% of total)

ival-div: 1.0ms (26% of total)

ival-log: 1.0ms (26% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.30822854596472443	0.999999981350169

Compiler

Compiled 15 to 15 computations (0% saved)

simplify40.0ms (0.4%)

Memory

25.7MiB live, 64.7MiB allocated

Algorithm

1×	egg-herbie

Rules

212×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
122×	`neg-mul-1-binary64-*.f64-neg.f64`
112×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
94×	`sub-neg-binary64-neg.f64-+.f64--.f64`
84×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	502
1	132	502
2	180	502
3	224	502
4	265	502
5	333	502
6	407	502
7	530	502
8	653	502
9	687	502
10	696	502
11	697	502

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9007199164668999/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -7656119366529843/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 20000 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))))
(if (<=.f64 y #s(literal -38 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))))
(if (<=.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9007199164668999/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal 9007199164668999/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -7656119366529843/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))))
(if (<=.f64 y #s(literal -7656119366529843/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 (log1p.f64 (neg.f64 x)) y))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 20000 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) y))) #s(literal 3022314549036573/151115727451828646838272 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) y))) #s(literal 20000 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 (log1p.f64 (neg.f64 x)) y))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))))
(if (<=.f64 y #s(literal -38 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))))))
(if (<=.f64 y #s(literal -38 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 (log1p.f64 (neg.f64 x)) y))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 x y)))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))) (-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (pow (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1) -1) (/ (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2) (+ (log (+ 1 (/ (- y x) (- 1 y)))) 1))) #s(approx (- (/ 1 (+ (log (+ 1 (neg x))) 1)) (/ (pow (log (+ 1 (neg x))) 2) (+ (log (+ 1 (neg x))) 1))) #s(literal 1 binary64)))

soundness728.0ms (7.9%)

Memory

-1.8MiB live, 594.6MiB allocated

Rules

6 656×	`lower-fma.f64`
6 656×	`lower-fma.f32`
5 598×	`lower-fma.f64`
5 598×	`lower-fma.f32`
5 532×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	15	38
1	77	38
2	662	38
0	8723	34
0	432	2626
1	1404	2020
2	4892	1789
0	8556	1696
0	1573	33470
1	5355	29020
0	8430	27664
0	1481	23243
1	4987	19903
0	8386	18913

Stop Event

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

Compiler

Compiled 313 to 177 computations (43.5% saved)

preprocess69.0ms (0.8%)

Memory: -2.1MiB live, 150.3MiB allocated
Compiler: Compiled 572 to 208 computations (63.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	97	502
1	132	502
2	180	502
3	224	502
4	265	502
5	333	502
6	407	502
7	530	502
8	653	502
9	687	502
10	696	502
11	697	502

Iter	Nodes	Cost
0	97	502
1	132	502
2	180	502
3	224	502
4	265	502
5	333	502
6	407	502
7	530	502
8	653	502
9	687	502
10	696	502
11	697	502

start0.0ms (0%)

analyze163.0ms (1.8%)

sample1.8s (19%)

explain205.0ms (2.2%)

preprocess114.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.3%)

localize63.0ms (0.7%)

series17.0ms (0.2%)

simplify134.0ms (1.5%)

rewrite139.0ms (1.5%)

eval209.0ms (2.3%)

prune112.0ms (1.2%)

simplify188.0ms (2%)

localize269.0ms (2.9%)

series112.0ms (1.2%)

simplify337.0ms (3.7%)

rewrite237.0ms (2.6%)

eval192.0ms (2.1%)

prune221.0ms (2.4%)

simplify217.0ms (2.4%)

localize246.0ms (2.7%)

series70.0ms (0.8%)

simplify246.0ms (2.7%)

rewrite182.0ms (2%)

eval151.0ms (1.6%)

prune185.0ms (2%)

simplify133.0ms (1.4%)

localize251.0ms (2.7%)

series50.0ms (0.5%)

simplify243.0ms (2.6%)

rewrite515.0ms (5.6%)

eval243.0ms (2.6%)

prune387.0ms (4.2%)

regimes76.0ms (0.8%)

regimes42.0ms (0.5%)

regimes112.0ms (1.2%)

regimes66.0ms (0.7%)

regimes54.0ms (0.6%)

regimes45.0ms (0.5%)

regimes58.0ms (0.6%)

regimes47.0ms (0.5%)

regimes8.0ms (0.1%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch246.0ms (2.7%)

bsearch1.0ms (0%)

bsearch16.0ms (0.2%)

bsearch0.0ms (0%)

simplify40.0ms (0.4%)

soundness728.0ms (7.9%)

preprocess69.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	97	502
1	132	502
2	180	502
3	224	502
4	265	502
5	333	502
6	407	502
7	530	502
8	653	502
9	687	502
10	696	502
11	697	502