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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze156.0ms (1.9%)

Memory

15.7MiB live, 330.8MiB 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)

sample2.1s (25.3%)

Memory

-115.4MiB live, 2 868.4MiB allocated

Samples

733.0ms	5 972×	0	valid
481.0ms	2 284×	1	valid
162.0ms	1 091×	1	invalid
148.0ms	1 667×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sub: 455.0ms (39.7% of total)

ival-log: 410.0ms (35.8% of total)

ival-div: 148.0ms (12.9% of total)

adjust: 112.0ms (9.8% of total)

ival-true: 9.0ms (0.8% of total)

exact: 7.0ms (0.6% of total)

ival-assert: 5.0ms (0.4% of total)

Bogosity

explain208.0ms (2.5%)

Memory

20.0MiB live, 333.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
97	-	-	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
84	-	-	`(-.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	97	0
`-.f64`	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`	cancellation	84	0

Confusion

	Predicted +	Predicted -
+	84	0
-	97	75

Precision

0.46408839779005523

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	84	0	0
-	97	0	75

Precision?

0.46408839779005523

Recall?

1.0

Freqs

test

number	freq
0	75
1	181

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms	326×	1	valid
12.0ms	166×	0	valid
12.0ms	20×	2	valid

Compiler

Compiled 110 to 31 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-sub: 24.0ms (35.8% of total)

ival-log: 23.0ms (34.3% of total)

adjust: 13.0ms (19.4% of total)

ival-div: 6.0ms (9% of total)

ival-true: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

preprocess123.0ms (1.5%)

Memory

-22.5MiB live, 91.9MiB allocated

Algorithm

1×	egg-herbie

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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.9%	(-.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)

simplify33.0ms (0.4%)

Memory

5.4MiB live, 47.8MiB 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))))

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)

localize56.0ms (0.7%)

Memory

-4.5MiB live, 107.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.015625	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
accuracy	19.655512235796145	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
accuracy	22.298943992467315	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))

Samples

32.0ms	163×	1	valid
9.0ms	83×	0	valid
4.0ms	10×	2	valid

Compiler

Compiled 49 to 11 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-log: 13.0ms (42.9% of total)

ival-sub: 9.0ms (29.7% of total)

adjust: 5.0ms (16.5% of total)

ival-div: 3.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory

-11.1MiB live, 41.6MiB allocated

Counts

5 → 108

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>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.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 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.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 (- (+ 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))))))) (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 (* 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 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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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)) (- 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)) (- 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)) (- 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)) (- 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)) (- 1 y))

simplify135.0ms (1.6%)

Memory

32.9MiB live, 222.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	2658
1	1420	2052
2	4942	1821
0	8665	1728

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 107

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

rewrite329.0ms (3.9%)

Memory

-10.4MiB live, 224.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	41
0	15	41
1	77	41
2	662	41
0	8723	37

Stop Event

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

Counts

5 → 310

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))
(-.f64 #s(literal 1 binary64) y)

Outputs
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eval76.0ms (0.9%)

Memory: -11.5MiB live, 147.7MiB allocated
Compiler: Compiled 11 325 to 1 911 computations (83.1% saved)

prune11.0ms (0.1%)

Memory

38.0MiB live, 38.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	409	8	417
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	410	8	418

Accuracy

100.0%

Counts

418 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.9%	(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
	2.4%	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))))
▶	42.9%	(-.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))))
	43.7%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
▶	46.1%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
▶	57.8%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
	39.4%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
▶	59.6%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 146 to 132 computations (9.6% saved)

simplify186.0ms (2.2%)

Memory

-11.2MiB live, 115.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))
cost-diff	0	(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)))
cost-diff	0	(-.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))))
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	(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	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	284
0	57	284
1	97	284
2	169	276
3	333	276
4	744	276
5	1887	276
6	3817	276
7	4250	276
8	4337	276
9	4343	276
10	4345	276
11	4345	276
12	4682	276
13	4818	276
14	4818	276
0	4818	276

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize205.0ms (2.4%)

Memory

-12.0MiB live, 264.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy	0.06640625	(/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y)
accuracy	22.298943992467315	(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)))
accuracy	36.3058606477438	#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) y))
accuracy	0	(+.f64 #s(literal -1 binary64) y)
accuracy	0.01171875	(/.f64 x (+.f64 #s(literal -1 binary64) y))
accuracy	22.298943992467315	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y))))
accuracy	35.69520492538547	#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
accuracy	0	(+.f64 y (log1p.f64 (neg.f64 x)))
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 (neg.f64 x))
accuracy	19.868420631507696	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x))))
accuracy	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 (neg.f64 x))
accuracy	32.091507749933236	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x)))
accuracy	0	(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
accuracy	16.023363615589272	(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))

Samples

84.0ms	148×	1	valid
49.0ms	68×	0	valid
11.0ms	10×	2	valid
10.0ms	30×	0	invalid

Compiler

Compiled 222 to 26 computations (88.3% saved)

Precisions

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

ival-log1p: 34.0ms (34.3% of total)

ival-sub: 18.0ms (18.2% of total)

ival-div: 17.0ms (17.2% of total)

ival-log: 14.0ms (14.1% of total)

adjust: 12.0ms (12.1% of total)

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

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (0.8%)

Memory

20.2MiB live, 97.0MiB allocated

Counts

22 → 480

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	y	@	inf	((- 1 (log (+ 1 (/ (- y x) (- 1 y))))) (log (+ 1 (/ (- y x) (- 1 y)))) (/ (- y x) (- 1 y)) (- y x) (- 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)))) (+ y (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)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (- 1 y) (+ -1 y) (- x (/ (- 1 x) y)))
8.0ms	y	@	0	((- 1 (log (+ 1 (/ (- y x) (- 1 y))))) (log (+ 1 (/ (- y x) (- 1 y)))) (/ (- y x) (- 1 y)) (- y x) (- 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)))) (+ y (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)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (- 1 y) (+ -1 y) (- x (/ (- 1 x) y)))
5.0ms	y	@	-inf	((- 1 (log (+ 1 (/ (- y x) (- 1 y))))) (log (+ 1 (/ (- y x) (- 1 y)))) (/ (- y x) (- 1 y)) (- y x) (- 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)))) (+ y (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)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (- 1 y) (+ -1 y) (- x (/ (- 1 x) y)))
3.0ms	x	@	-inf	((- 1 (log (+ 1 (/ (- y x) (- 1 y))))) (log (+ 1 (/ (- y x) (- 1 y)))) (/ (- y x) (- 1 y)) (- y x) (- 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)))) (+ y (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)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (- 1 y) (+ -1 y) (- x (/ (- 1 x) y)))
3.0ms	x	@	inf	((- 1 (log (+ 1 (/ (- y x) (- 1 y))))) (log (+ 1 (/ (- y x) (- 1 y)))) (/ (- y x) (- 1 y)) (- y x) (- 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)))) (+ y (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)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (- 1 y) (+ -1 y) (- x (/ (- 1 x) y)))

simplify158.0ms (1.9%)

Memory

-29.9MiB live, 252.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	684	11965
1	2187	8348
2	7365	8325
0	8158	7937

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 470

Calls

Call 1

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

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

rewrite213.0ms (2.5%)

Memory

36.6MiB live, 312.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	247
0	57	247
1	283	247
2	2538	247
0	9192	243

Stop Event

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

Counts

22 → 497

Calls

Call 1

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

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eval355.0ms (4.2%)

Memory: -35.0MiB live, 325.9MiB allocated
Compiler: Compiled 22 197 to 3 180 computations (85.7% saved)

prune162.0ms (1.9%)

Memory

-7.2MiB live, 82.1MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 012	9	1 021
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	1 015	14	1 029

Accuracy

100.0%

Counts

1 029 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.9%	(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
	39.4%	(-.f64 #s(literal 1 binary64) (log1p.f64 #s(approx (/ (- y x) (- 1 y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
	20.5%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 #s(approx (- x (/ (- 1 x) y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) y))))
▶	43.7%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
✓	46.1%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
▶	27.1%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))))
	21.6%	(-.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))))))
▶	24.3%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
✓	57.8%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
✓	59.6%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
	40.3%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y 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 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
▶	40.9%	(-.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))))
▶	41.7%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))

Compiler

Compiled 215 to 208 computations (3.3% saved)

simplify80.0ms (1%)

Memory

10.2MiB live, 49.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	332
0	53	326
1	85	326
2	130	326
3	222	326
4	392	326
5	734	326
6	1267	326
7	1657	326
8	1770	326
9	1815	326
10	1816	326
0	1816	312

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize134.0ms (1.6%)

Memory

10.7MiB live, 129.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))))
accuracy	22.298943992467315	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))))
accuracy	35.30034371370355	#s(approx (/ x (+ -1 y)) (/.f64 x y))
accuracy	35.69520492538547	#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))
accuracy	0	(neg.f64 x)
accuracy	19.696377513557152	#s(approx (/ x (+ -1 y)) (neg.f64 x))
accuracy	22.298943992467315	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x))))
accuracy	35.69520492538547	#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))
accuracy	0	(-.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))))
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
accuracy	19.725274186477836	#s(approx (log (+ 1 (neg x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))
accuracy	32.091507749933236	#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)))
accuracy	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
accuracy	0	(neg.f64 x)
accuracy	19.05711691598251	#s(approx (log (+ 1 (neg x))) (neg.f64 x))
accuracy	32.091507749933236	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x)))
accuracy	0	(-.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	22.298943992467315	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
accuracy	35.45083879254264	#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))

Samples

94.0ms	148×	1	valid
11.0ms	68×	0	valid
5.0ms	10×	2	valid
5.0ms	30×	0	invalid

Compiler

Compiled 200 to 23 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-div: 31.0ms (34.1% of total)

ival-log: 30.0ms (33% of total)

ival-sub: 10.0ms (11% of total)

adjust: 10.0ms (11% of total)

ival-mult: 3.0ms (3.3% of total)

ival-add: 2.0ms (2.2% of total)

ival-log1p: 2.0ms (2.2% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory

-3.8MiB live, 35.3MiB allocated

Counts

20 → 432

Calls

Call 1

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

Outputs
#s(alt (- 1 (log (- 1 x))) (taylor 0 y) (#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 (- (+ 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 #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 (- (+ 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 #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 (- (+ 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 #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 (- 1 x)) (taylor 0 y) (#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 (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))) (taylor 0 y) (#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>) () ())) ())
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#s(alt (* -1 (/ x (- 1 y))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) (patch #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- y 1)) (taylor -inf x) (#s(alt #s(approx (/ x (+ -1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ -1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- y 1)) (taylor -inf x) (#s(alt #s(approx (/ x (+ -1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ -1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- y 1)) (taylor -inf x) (#s(alt #s(approx (/ x (+ -1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ -1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- y 1)) (taylor -inf x) (#s(alt #s(approx (/ x (+ -1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ -1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (- 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 (neg x))) (* (+ (* -1/2 x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)))
2.0ms	x	@	-inf	((- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (- 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 (neg x))) (* (+ (* -1/2 x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)))
1.0ms	x	@	0	((- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (- 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 (neg x))) (* (+ (* -1/2 x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)))
1.0ms	y	@	-inf	((- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (- 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 (neg x))) (* (+ (* -1/2 x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)))
1.0ms	y	@	inf	((- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (- 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 (neg x))) (* (+ (* -1/2 x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ x (+ -1 y)))

simplify204.0ms (2.4%)

Memory

30.1MiB live, 257.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	478	11746
1	1517	8874
2	5081	7738
0	8990	7314

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

rewrite186.0ms (2.2%)

Memory

-21.2MiB live, 379.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	306
0	53	300
1	227	300
2	1803	300
0	9348	284

Stop Event

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

Counts

20 → 307

Calls

Call 1

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

Outputs
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eval145.0ms (1.7%)

Memory: 19.6MiB live, 251.6MiB allocated
Compiler: Compiled 15 435 to 1 748 computations (88.7% saved)

prune49.0ms (0.6%)

Memory

-27.3MiB live, 106.1MiB allocated

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	761	4	765
Fresh	1	4	5
Picked	0	5	5
Done	0	4	4
Total	762	17	779

Accuracy

100.0%

Counts

779 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.9%	(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
	39.4%	(-.f64 #s(literal 1 binary64) (log1p.f64 #s(approx (/ (- y x) (- 1 y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
▶	20.5%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 #s(approx (- x (/ (- 1 x) y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) y))))
✓	43.7%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
✓	46.1%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
▶	22.2%	(-.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)))))
✓	27.1%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))))
	21.6%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (*.f64 x (-.f64 #s(literal -1 binary64) y))))))
✓	24.3%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
✓	57.8%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
✓	59.6%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
▶	40.3%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
▶	41.6%	(-.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 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
✓	40.9%	(-.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))))
✓	41.7%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
	40.7%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) #s(approx (* (+ (* -1/2 x) -1) x) (.f64 (.f64 x x) #s(literal -1/2 binary64))))))

Compiler

Compiled 237 to 229 computations (3.4% saved)

simplify114.0ms (1.4%)

Memory

15.6MiB live, 136.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 #s(approx (- x (/ (- 1 x) y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 #s(approx (- x (/ (- 1 x) y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) y))
cost-diff	0	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 #s(approx (- x (/ (- 1 x) y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) y)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 #s(approx (- x (/ (- 1 x) y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) y))))
cost-diff	0	#s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))
cost-diff	0	(-.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)))))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
cost-diff	0	#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))
cost-diff	0	#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)))
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 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
cost-diff	0	(-.f64 y x)
cost-diff	0	#s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))
cost-diff	0	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
cost-diff	0	(-.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)))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 x x))
cost-diff	192	(+.f64 #s(literal 0 binary64) x)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	449
0	69	425
1	123	425
2	251	409
3	518	409
4	1043	409
5	2415	409
6	5374	409
0	8314	388

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (2.3%)

Memory

11.1MiB live, 245.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(/.f64 (-.f64 #s(approx (- x (/ (- 1 x) y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) y)
accuracy	22.298943992467315	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 #s(approx (- x (/ (- 1 x) y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) y)))
accuracy	25.34231191800517	#s(approx (- x (/ (- 1 x) y)) (/.f64 #s(literal -1 binary64) y))
accuracy	36.3058606477438	#s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 #s(approx (- x (/ (- 1 x) y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) y))
accuracy	0	(-.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)))))
accuracy	18.909959463567553	#s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))
accuracy	22.298943992467315	(log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y))))
accuracy	35.45083879254264	#s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ (- x 1) y) (/.f64 #s(literal -1 binary64) y)))
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
accuracy	0.09765625	(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64))
accuracy	18.93958464513012	#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))
accuracy	32.091507749933236	#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)))
accuracy	0	(-.f64 y x)
accuracy	0	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
accuracy	14.851118770373255	#s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))
accuracy	19.868420631507696	#s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x)))
accuracy	0	(*.f64 x x)
accuracy	19.05711691598251	#s(approx (log (+ 1 (neg x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
accuracy	24.50600876264427	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
accuracy	32.091507749933236	#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))))

Samples

90.0ms	148×	1	valid
42.0ms	30×	0	invalid
24.0ms	68×	0	valid
10.0ms	10×	2	valid

Compiler

Compiled 250 to 36 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-sub: 18.0ms (19.4% of total)

ival-div: 18.0ms (19.4% of total)

adjust: 17.0ms (18.3% of total)

const: 11.0ms (11.8% of total)

ival-log: 11.0ms (11.8% of total)

ival-mult: 8.0ms (8.6% of total)

ival-add: 5.0ms (5.4% of total)

ival-log1p: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series72.0ms (0.9%)

Memory

-35.4MiB live, 45.5MiB allocated

Counts

26 → 516

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	y	@	0	((/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- y x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* -1/3 x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* x x) (+ (* -1/3 x) -1/2) (+ (* (+ (* -1/3 x) -1/2) x) -1) (- x (/ (- 1 x) y)))
2.0ms	x	@	inf	((/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- y x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* -1/3 x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* x x) (+ (* -1/3 x) -1/2) (+ (* (+ (* -1/3 x) -1/2) x) -1) (- x (/ (- 1 x) y)))
2.0ms	x	@	-inf	((/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- y x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* -1/3 x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* x x) (+ (* -1/3 x) -1/2) (+ (* (+ (* -1/3 x) -1/2) x) -1) (- x (/ (- 1 x) y)))
2.0ms	y	@	-inf	((/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- y x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* -1/3 x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* x x) (+ (* -1/3 x) -1/2) (+ (* (+ (* -1/3 x) -1/2) x) -1) (- x (/ (- 1 x) y)))
2.0ms	y	@	inf	((/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (+ y (log (+ 1 (neg x)))) (- y x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* (+ (* (+ (* -1/3 x) -1/2) x) -1) x) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- x 1) y) (- 1 (log (- 1 (/ (- x y) (- 1 y))))) (log (- 1 (/ (- x y) (- 1 y)))) (- 1 (/ (- x y) (- 1 y))) (/ (- (- x (/ (- 1 x) y)) 1) y) (log (- 1 (/ (- x y) (- 1 y)))) (log (+ 1 (neg x))) (* x x) (+ (* -1/3 x) -1/2) (+ (* (+ (* -1/3 x) -1/2) x) -1) (- x (/ (- 1 x) y)))

simplify176.0ms (2.1%)

Memory

25.5MiB live, 218.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	536	12267
1	1706	9327
2	5812	8243
0	8677	7784

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 496

Calls

Call 1

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

rewrite147.0ms (1.8%)

Memory

32.3MiB live, 219.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	413
0	69	395
1	352	375
2	3226	368
0	8505	344

Stop Event

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

Counts

26 → 653

Calls

Call 1

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

Outputs
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eval247.0ms (3%)

Memory: -3.1MiB live, 235.0MiB allocated
Compiler: Compiled 22 582 to 3 539 computations (84.3% saved)

prune70.0ms (0.8%)

Memory

-15.0MiB live, 124.9MiB allocated

Pruning

22 alts after pruning (9 fresh and 13 done)

	Pruned	Kept	Total
New	1 142	7	1 149
Fresh	1	2	3
Picked	1	4	5
Done	0	9	9
Total	1 144	22	1 166

Accuracy

100.0%

Counts

1 166 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) x)) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) x))))))
✓	68.9%	(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
	39.4%	(-.f64 #s(literal 1 binary64) (log1p.f64 #s(approx (/ (- y x) (- 1 y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
✓	20.5%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 #s(approx (- x (/ (- 1 x) y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) y))))
✓	43.7%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
✓	46.1%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) (/.f64 x (+.f64 #s(literal -1 binary64) y)))))
✓	22.2%	(-.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)))))
✓	27.1%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (/.f64 x y)))))
	21.6%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (*.f64 x (-.f64 #s(literal -1 binary64) y))))))
✓	24.3%	(-.f64 #s(literal 1 binary64) (log.f64 #s(approx (- 1 (/ (- x y) (- 1 y))) #s(approx (/ x (+ -1 y)) (neg.f64 x)))))
✓	57.8%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (+.f64 y (log1p.f64 (neg.f64 x)))))
✓	59.6%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
	40.1%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 (*.f64 (-.f64 y x) (-.f64 x y)) (-.f64 x y)))))
	40.1%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x)))))))
✓	40.3%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (-.f64 y x))))
	39.3%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (+ y (log (+ 1 (neg x)))) (+.f64 y x))))
	41.1%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x) x x))))
	41.6%	(-.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)) 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 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
✓	40.9%	(-.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))))
✓	41.7%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) (neg.f64 x))))
	40.7%	(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) #s(approx (log (+ 1 (neg x))) x)))

Compiler

Compiled 508 to 341 computations (32.9% saved)

regimes82.0ms (1%)

Memory

0.4MiB live, 75.2MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

Calls

6 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)))))
8.0ms	y
8.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
8.0ms	x
7.0ms	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))

Results

Accuracy	Segments	Branch
82.3%	3	`x`
100.0%	3	`y`
100.0%	2	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
100.0%	2	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
100.0%	2	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
100.0%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 40 to 34 computations (15% saved)

regimes39.0ms (0.5%)

Memory

-28.8MiB live, 53.0MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
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 38 to 30 computations (21.1% saved)

regimes61.0ms (0.7%)

Memory

2.5MiB live, 39.9MiB allocated

Counts

25 → 3

Calls

Call 1

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

Calls

5 calls:

34.0ms	y
7.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
7.0ms	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
6.0ms	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
6.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
99.3%	3	`y`
99.3%	3	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
99.3%	3	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
99.3%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
99.3%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 39 to 32 computations (17.9% saved)

regimes37.0ms (0.4%)

Memory

7.0MiB live, 82.1MiB allocated

Counts

23 → 4

Calls

Call 1

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

9.0ms	y
8.0ms	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
7.0ms	(/.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)))))
6.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
91.2%	4	`y`
86.9%	3	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
86.9%	3	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
86.9%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
86.9%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 39 to 32 computations (17.9% saved)

regimes8.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

22 → 4

Calls

Call 1

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

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
91.0%	4	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes41.0ms (0.5%)

Memory

-25.3MiB live, 95.4MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

(-.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)))) (+.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

6 calls:

9.0ms	y
7.0ms	x
7.0ms	(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) 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
71.2%	2	`x`
71.7%	2	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
71.7%	2	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
71.7%	2	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
71.7%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`
81.2%	3	`y`

Compiler

Compiled 40 to 34 computations (15% saved)

regimes41.0ms (0.5%)

Memory

2.6MiB live, 82.9MiB allocated

Counts

19 → 1

Calls

Call 1

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

Calls

6 calls:

9.0ms	x
8.0ms	(/.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))))
6.0ms	y
5.0ms	(-.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
59.6%	1	`x`
59.6%	1	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
59.6%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`
59.6%	1	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
59.6%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
59.6%	1	`y`

Compiler

Compiled 40 to 34 computations (15% saved)

regimes29.0ms (0.3%)

Memory

2.0MiB live, 78.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	y
6.0ms	x
4.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
4.0ms	(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
4.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
41.7%	1	`y`
41.7%	1	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
41.7%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
41.7%	1	`x`
41.7%	1	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
41.7%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 40 to 34 computations (15% saved)

regimes8.0ms (0.1%)

Memory

25.3MiB live, 25.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
40.7%	1	`(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))`
40.7%	1	`(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))`
40.7%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))`
40.7%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))`
40.7%	1	`y`
40.7%	1	`x`

Compiler

Compiled 40 to 34 computations (15% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06440170360086231	0.9999999999541092

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06440170360086231	0.9999999999541092

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.06440170360086231	0.9999999999541092
0.0ms	-820.2205595734043	-7.295988357993567

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch72.0ms (0.9%)

Memory

-27.0MiB live, 99.1MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.005527846188932e-5	0.002075455572385067
16.0ms	-275207.43039016717	-0.06872746722273579
36.0ms	-7.924588618727255e+264	-4.5597794267604036e+259

Samples

25.0ms	132×	1	valid
18.0ms	268×	0	valid
4.0ms	24×	1	invalid
2.0ms	39×	0	invalid

Compiler

Compiled 422 to 489 computations (-15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sub: 13.0ms (36.6% of total)

ival-log: 13.0ms (36.6% of total)

adjust: 4.0ms (11.3% of total)

ival-div: 4.0ms (11.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch91.0ms (1.1%)

Memory

17.2MiB live, 134.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
80.0ms	0.002075455572385067	3631351926.708405
1.0ms	-275207.43039016717	-0.06872746722273579
1.0ms	-7.924588618727255e+264	-4.5597794267604036e+259

Samples

41.0ms	715×	0	invalid
10.0ms	160×	0	valid

Compiler

Compiled 463 to 536 computations (-15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sub: 16.0ms (52.5% of total)

ival-div: 7.0ms (23% of total)

ival-log: 6.0ms (19.7% of total)

ival-true: 1.0ms (3.3% of total)

exact: 1.0ms (3.3% of total)

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

bsearch32.0ms (0.4%)

Memory

-19.1MiB live, 18.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.002075455572385067	3631351926.708405
29.0ms	-275207.43039016717	-0.06872746722273579

Samples

8.0ms	128×	0	valid
1.0ms	18×	0	invalid

Compiler

Compiled 319 to 356 computations (-11.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 3.0ms (51.5% of total)

ival-log: 2.0ms (34.3% of total)

ival-div: 1.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify51.0ms (0.6%)

Memory

12.2MiB live, 50.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	471
1	125	471
2	173	471
3	210	471
4	235	471
5	271	471
6	304	471
7	401	471
8	534	471
9	591	471
10	634	471
11	685	471
12	722	471
13	737	471
14	743	471
15	744	471

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/36028797018963968 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.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 3602879701896397/36028797018963968 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.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 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) (-.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 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/36028797018963968 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 -7799999999999999874439030030103412418438178987731314953187914858186098228298799973800078770175352628452223665059562081656968033029529748351974181124270380209603680603441701953639198253870995259373644616693924945041910018525270820498091359968760788552475631811559424 binary64)) (-.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 -39/2 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 1152921504606847/576460752303423488 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 -7799999999999999874439030030103412418438178987731314953187914858186098228298799973800078770175352628452223665059562081656968033029529748351974181124270380209603680603441701953639198253870995259373644616693924945041910018525270820498091359968760788552475631811559424 binary64)) (-.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 -39/2 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 -6500 binary64)) (-.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 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)))))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
(-.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 (log (+ 1 (neg x))) x)))

Outputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/36028797018963968 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.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 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal 3602879701896397/36028797018963968 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.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 3602879701896397/36028797018963968 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.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 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal 3602879701896397/36028797018963968 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.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 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) (-.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 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/36028797018963968 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 (-.f64 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal -500 binary64)) (-.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 (-.f64 y x) (+.f64 #s(literal -1 binary64) y)) #s(literal 3602879701896397/36028797018963968 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 y #s(literal -7799999999999999874439030030103412418438178987731314953187914858186098228298799973800078770175352628452223665059562081656968033029529748351974181124270380209603680603441701953639198253870995259373644616693924945041910018525270820498091359968760788552475631811559424 binary64)) (-.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 -39/2 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 1152921504606847/576460752303423488 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 -7799999999999999874439030030103412418438178987731314953187914858186098228298799973800078770175352628452223665059562081656968033029529748351974181124270380209603680603441701953639198253870995259373644616693924945041910018525270820498091359968760788552475631811559424 binary64)) (-.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 -39/2 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 1152921504606847/576460752303423488 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 -7799999999999999874439030030103412418438178987731314953187914858186098228298799973800078770175352628452223665059562081656968033029529748351974181124270380209603680603441701953639198253870995259373644616693924945041910018525270820498091359968760788552475631811559424 binary64)) (-.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 -39/2 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 -7799999999999999874439030030103412418438178987731314953187914858186098228298799973800078770175352628452223665059562081656968033029529748351974181124270380209603680603441701953639198253870995259373644616693924945041910018525270820498091359968760788552475631811559424 binary64)) (-.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 -39/2 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 y #s(literal -6500 binary64)) (-.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 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 -6500 binary64)) (-.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 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)))))))
(-.f64 #s(literal 1 binary64) #s(approx (log (- 1 (/ (- x y) (- 1 y)))) (log1p.f64 (neg.f64 x))))
(-.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 (log (+ 1 (neg x))) x)))

soundness1.2s (14.1%)

Memory

29.1MiB live, 531.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	2658
1	1420	2052
2	4942	1821
0	8665	1728
0	49	413
0	69	395
1	352	375
2	3226	368
0	8505	344
0	684	11965
1	2187	8348
2	7365	8325
0	8158	7937
0	9	41
0	15	41
1	77	41
2	662	41
0	8723	37
0	38	306
0	53	300
1	227	300
2	1803	300
0	9348	284
0	478	11746
1	1517	8874
2	5081	7738
0	8990	7314

Stop Event

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

Compiler

Compiled 398 to 229 computations (42.5% saved)

preprocess105.0ms (1.3%)

Memory: 3.4MiB live, 205.8MiB allocated
Compiler: Compiled 626 to 216 computations (65.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	88	471
1	125	471
2	173	471
3	210	471
4	235	471
5	271	471
6	304	471
7	401	471
8	534	471
9	591	471
10	634	471
11	685	471
12	722	471
13	737	471
14	743	471
15	744	471

Iter	Nodes	Cost
0	88	471
1	125	471
2	173	471
3	210	471
4	235	471
5	271	471
6	304	471
7	401	471
8	534	471
9	591	471
10	634	471
11	685	471
12	722	471
13	737	471
14	743	471
15	744	471

start0.0ms (0%)

analyze156.0ms (1.9%)

sample2.1s (25.3%)

explain208.0ms (2.5%)

preprocess123.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.4%)

localize56.0ms (0.7%)

series23.0ms (0.3%)

simplify135.0ms (1.6%)

rewrite329.0ms (3.9%)

eval76.0ms (0.9%)

prune11.0ms (0.1%)

simplify186.0ms (2.2%)

localize205.0ms (2.4%)

series70.0ms (0.8%)

simplify158.0ms (1.9%)

rewrite213.0ms (2.5%)

eval355.0ms (4.2%)

prune162.0ms (1.9%)

simplify80.0ms (1%)

localize134.0ms (1.6%)

series62.0ms (0.7%)

simplify204.0ms (2.4%)

rewrite186.0ms (2.2%)

eval145.0ms (1.7%)

prune49.0ms (0.6%)

simplify114.0ms (1.4%)

localize192.0ms (2.3%)

series72.0ms (0.9%)

simplify176.0ms (2.1%)

rewrite147.0ms (1.8%)

eval247.0ms (3%)

prune70.0ms (0.8%)

regimes82.0ms (1%)

regimes39.0ms (0.5%)

regimes61.0ms (0.7%)

regimes37.0ms (0.4%)

regimes8.0ms (0.1%)

regimes41.0ms (0.5%)

regimes41.0ms (0.5%)

regimes29.0ms (0.3%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch72.0ms (0.9%)

bsearch91.0ms (1.1%)

bsearch32.0ms (0.4%)

simplify51.0ms (0.6%)

soundness1.2s (14.1%)

preprocess105.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	88	471
1	125	471
2	173	471
3	210	471
4	235	471
5	271	471
6	304	471
7	401	471
8	534	471
9	591	471
10	634	471
11	685	471
12	722	471
13	737	471
14	743	471
15	744	471