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

Time bar (total: 11.9s)

analyze232.0ms (1.9%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 15 to 10 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-sub: 48.0ms (55.1% of total)
ival-log: 21.0ms (24.1% of total)
ival-div: 14.0ms (16.1% of total)
const: 3.0ms (3.4% of total)
backward-pass: 1.0ms (1.1% of total)

sample1.9s (16%)

Results
672.0ms5843×0valid
529.0ms2413×1valid
195.0ms1114×1invalid
149.0ms1601×0invalid
Precisions
Click to see histograms. Total time spent on operations: 926.0ms
ival-sub: 413.0ms (44.6% of total)
ival-log: 268.0ms (29% of total)
ival-div: 123.0ms (13.3% of total)
backward-pass: 103.0ms (11.1% of total)
const: 19.0ms (2.1% of total)
Bogosity

preprocess224.0ms (1.9%)

Algorithm
2×egg-herbie
Rules
2004×fnmadd-define
1956×fnmsub-define
1652×fmm-def
1360×sum5-define
1338×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03080
17668
220462
354460
4139360
5420560
6574960
7594560
8598360
9598960
10598960
0912
12111
24111
39610
424410
562210
6180510
7360210
8381010
9461910
10463510
0463510
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
Outputs
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
Call 2
Inputs
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
(- 1 (log (- 1 (/ (- (neg x) y) (- 1 y)))))
(- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y))))))
(neg (- 1 (log (- 1 (/ (- (neg x) y) (- 1 y))))))
(neg (- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y)))))))
(- 1 (log (- 1 (/ (- y x) (- 1 x)))))
Outputs
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
(- 1 (log1p (/ (- x y) (+ y -1))))
(- 1 (log (- 1 (/ (- (neg x) y) (- 1 y)))))
(- 1 (log1p (/ (+ x y) (- 1 y))))
(- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y))))))
(- 1 (log1p (/ (+ x y) (- -1 y))))
(neg (- 1 (log (- 1 (/ (- (neg x) y) (- 1 y))))))
(+ (log1p (/ (+ x y) (- 1 y))) -1)
(neg (- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y)))))))
(+ (log1p (/ (+ x y) (- -1 y))) -1)
(- 1 (log (- 1 (/ (- y x) (- 1 x)))))
(- 1 (log1p (/ (- x y) (- 1 x))))

explain228.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1020-0-(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
740-0-(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
00-0-x
00-0-(-.f64 x y)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) y)
Results
104.0ms324×1valid
47.0ms20×2valid
30.0ms168×0valid
Compiler

Compiled 114 to 29 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-log: 34.0ms (43.3% of total)
ival-sub: 22.0ms (28% of total)
backward-pass: 14.0ms (17.8% of total)
ival-div: 7.0ms (8.9% of total)
const: 1.0ms (1.3% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.5%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
Compiler

Compiled 12 to 9 computations (25% saved)

simplify80.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))
✓cost-diff0
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
Rules
1624×sum5-define
1160×sum4-define
904×sum3-define
872×fnmadd-define
752×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
12235
23435
36235
411635
522435
643335
773135
8142935
9258135
10381235
11393635
12473735
13475335
0475335
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
1
(log (+ 1 (/ (- x y) (+ y -1))))
(/ (- x y) (+ y -1))
(- x y)
x
y
(+ y -1)
-1
Outputs
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
1
#s(literal 1 binary64)
(log (+ 1 (/ (- x y) (+ y -1))))
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(/ (- x y) (+ y -1))
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
(- x y)
(-.f64 x y)
x
y
(+ y -1)
(+.f64 y #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize122.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))
✓accuracy75.9%
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
Results
44.0ms125×1valid
38.0ms84×0valid
12.0ms18×5exit
10.0ms24×2valid
3.0ms5×3valid
Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
compiled-spec: 19.0ms (31.6% of total)
ival-log: 13.0ms (21.6% of total)
backward-pass: 10.0ms (16.6% of total)
ival-sub: 7.0ms (11.6% of total)
ival-add: 6.0ms (10% of total)
ival-div: 4.0ms (6.7% of total)
const: 1.0ms (1.7% of total)

series15.0ms (0.1%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (- 1 (log (+ 1 (/ (- x y) (+ y -1)))))>
#<alt (log (+ 1 (/ (- x y) (+ y -1))))>
#<alt (/ (- x y) (+ y -1))>
#<alt (- x y)>
#<alt (+ y -1)>
Outputs
#<alt (- 1 (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))>
#<alt (- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))>
#<alt (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))>
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))))>
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))>
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (log (- 1 (/ y (- y 1))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (/ x (* (- 1 (/ y (- y 1))) (- y 1))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (+ (* -1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x)))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x))))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x))))>
#<alt (log (+ 1 (* -1 x)))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x))))))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))>
#<alt (+ (log (- x 1)) (log (/ 1 y)))>
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))>
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))>
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (+ (* 1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))>
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (/ 1 (- x 1)) (/ x (- x 1))) y))))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))>
#<alt (* -1 (/ y (- y 1)))>
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))>
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))>
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))>
#<alt (/ x (- y 1))>
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))>
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))>
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))>
#<alt (/ x (- y 1))>
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))>
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))>
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (- 1 x)))>
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))>
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- (* y (- 1 x)) (* -1 (- 1 x))))) x)))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (/ 1 y)))>
#<alt (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (- (+ (/ x y) (/ x (pow y 3))) (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (/ 1 y)))>
#<alt (- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) 1)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
1.0ms
y
@-inf
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
1.0ms
y
@0
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
1.0ms
x
@-inf
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
1.0ms
x
@0
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))

rewrite351.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
4326×*-lowering-*.f32
4326×*-lowering-*.f64
3786×/-lowering-/.f32
3786×/-lowering-/.f64
2018×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
17431
267731
0892331
Stop Event
1×iter limit
1×node limit
Counts
5 → 311
Calls
Call 1
Inputs
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
(log (+ 1 (/ (- x y) (+ y -1))))
(/ (- x y) (+ y -1))
(- x y)
(+ y -1)
Outputs
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))
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(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))))
(*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))

simplify260.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2668×+-lowering-+.f64
2668×+-lowering-+.f32
2236×*-lowering-*.f32
2236×*-lowering-*.f64
1422×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03922261
113241821
248351433
090391433
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(- 1 (log (- 1 (/ y (- y 1)))))
(- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1)))))
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))
(- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- 1 (log (+ 1 (* -1 x))))
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
(- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
(- 1 (+ (log (- x 1)) (log (/ 1 y))))
(- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y))))
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))))
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))
(- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))
(log (- 1 (/ y (- y 1))))
(+ (log (- 1 (/ y (- y 1)))) (/ x (* (- 1 (/ y (- y 1))) (- y 1))))
(+ (log (- 1 (/ y (- y 1)))) (* x (+ (* -1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))
(+ (log (- 1 (/ y (- y 1)))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))
(+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x)))
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x))) x))))
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x))) x))) x))))
(log (+ 1 (* -1 x)))
(+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x))))))
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))
(+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))
(+ (log (- x 1)) (log (/ 1 y)))
(+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))
(+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))
(+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (+ (* 1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))
(+ (log (* -1 (- x 1))) (log (/ -1 y)))
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (/ 1 (- x 1)) (/ x (- x 1))) y))))
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))
(* -1 (/ y (- y 1)))
(+ (* -1 (/ y (- y 1))) (/ x (- y 1)))
(+ (* -1 (/ y (- y 1))) (/ x (- y 1)))
(+ (* -1 (/ y (- y 1))) (/ x (- y 1)))
(/ x (- y 1))
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))
(* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))
(/ x (- y 1))
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))
(* -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) (+ 1 (/ 1 y)))
(- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(- (+ (/ x y) (/ x (pow y 3))) (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
-1
(- (/ x y) (+ 1 (/ 1 y)))
(- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1)
(- (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) 1)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
Outputs
(- 1 (log (- 1 (/ y (- y 1)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) y)) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64))))
(- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y)) x) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64)))))
(- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) x)))) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y)) x))
(- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) x)) x) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x)))))
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y)) x) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) x)) x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) y)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))) x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) y)))))
(- 1 (log (+ 1 (* -1 x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
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(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))

eval83.0ms (0.7%)

Compiler

Compiled 11583 to 1713 computations (85.2% saved)

prune62.0ms (0.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New40118419
Fresh000
Picked101
Done000
Total40218420
Accuracy
99.8%
Counts
420 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
28.9%
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
29.9%
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
10.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
56.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 y #s(literal -1 binary64))) (+.f64 x y))))
73.6%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (+.f64 y #s(literal -1 binary64)))))
▶13.2%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) y)))
42.1%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
73.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
63.9%
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
13.1%
(-.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64))))
74.1%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))))
70.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))))
74.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y))))
57.5%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))))
▶74.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 (+.f64 y #s(literal -1 binary64)) x))))))
▶74.2%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x)))))
▶2.4%
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
Compiler

Compiled 534 to 374 computations (30% saved)

simplify116.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff640
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 (+.f64 y #s(literal -1 binary64)) x))))
✓cost-diff640
(log1p.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 (+.f64 y #s(literal -1 binary64)) x)))))
✓cost-diff640
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 (+.f64 y #s(literal -1 binary64)) x))))))
✓cost-diff0
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) y)
✓cost-diff128
(log1p.f64 (/.f64 (-.f64 x y) y))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) y)))
✓cost-diff0
(log1p.f64 #s(literal -1 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
✓cost-diff512
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x)))
✓cost-diff512
(log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))))
✓cost-diff512
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x)))))
Rules
1662×fmsub-define
1518×sum3-define
1494×fmm-def
1140×fnmsub-define
1112×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038288
196288
2241284
3596209
41581209
54424209
08331209
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- 1 (log (+ 1 (* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x))))))
1
(log (+ 1 (* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x)))))
(* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x)))
x
(+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x))
(/ 1 (+ y -1))
(+ y -1)
y
-1
(/ (/ y (- 1 y)) x)
(/ y (- 1 y))
(- 1 y)
(- 1 (log (+ 1 -1)))
1
(log (+ 1 -1))
-1
(- 1 (log (+ 1 (/ (- x y) y))))
1
(log (+ 1 (/ (- x y) y)))
(/ (- x y) y)
(- x y)
x
y
(/ 1 (/ 1 (- 1 (log (+ 1 (/ (- x y) (+ y -1)))))))
1
(/ 1 (- 1 (log (+ 1 (/ (- x y) (+ y -1))))))
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
(log (+ 1 (/ (- x y) (+ y -1))))
(/ (- x y) (+ y -1))
(- x y)
x
y
(+ y -1)
-1
(- 1 (log (+ 1 (* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x)))))))
1
(log (+ 1 (* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x))))))
(* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x))))
(- 0 x)
0
x
(+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x)))
(/ 1 (- 1 y))
(- 1 y)
y
(/ y (* (+ y -1) x))
(* (+ y -1) x)
(+ y -1)
-1
Outputs
(- 1 (log (+ 1 (* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(log (+ 1 (* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x)))))
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x)))
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))
x
(+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x))
(+.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/ 1 (+ y -1))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(/ (/ y (- 1 y)) x)
(/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x)
(/ y (- 1 y))
(/.f64 y (-.f64 #s(literal 1 binary64) y))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 (log (+ 1 -1)))
(-.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(log (+ 1 -1))
(log.f64 #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(- 1 (log (+ 1 (/ (- x y) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
1
#s(literal 1 binary64)
(log (+ 1 (/ (- x y) y)))
(log.f64 (/.f64 x y))
(/ (- x y) y)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(- x y)
(-.f64 x y)
x
y
(/ 1 (/ 1 (- 1 (log (+ 1 (/ (- x y) (+ y -1)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(/ 1 (- 1 (log (+ 1 (/ (- x y) (+ y -1))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(log (+ 1 (/ (- x y) (+ y -1))))
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(/ (- x y) (+ y -1))
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))
(- x y)
(-.f64 x y)
x
y
(+ y -1)
(+.f64 y #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- 1 (log (+ 1 (* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(log (+ 1 (* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x))))))
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x))))
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) x))
(/ 1 (- 1 y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
y
(/ y (* (+ y -1) x))
(/.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) x)
(* (+ y -1) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize228.0ms (1.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 (+.f64 y #s(literal -1 binary64)) x))))
✓accuracy100.0%
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
✓accuracy100.0%
(log1p.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 (+.f64 y #s(literal -1 binary64)) x)))))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy100.0%
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
✓accuracy100.0%
(/.f64 (-.f64 x y) y)
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) y)))
✓accuracy100.0%
(log1p.f64 (/.f64 (-.f64 x y) y))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
✓accuracy100.0%
(log1p.f64 #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x)))
✓accuracy100.0%
(log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))))
Results
167.0ms256×0invalid
Compiler

Compiled 285 to 34 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
compiled-spec: 23.0ms (28.2% of total)
ival-div: 16.0ms (19.6% of total)
ival-log: 13.0ms (15.9% of total)
ival-add: 11.0ms (13.5% of total)
ival-sub: 10.0ms (12.3% of total)
ival-mult: 6.0ms (7.4% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series212.0ms (1.8%)

Counts
20 → 408
Calls
Call 1
Inputs
#<alt (- 1 (log (+ 1 (* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x))))))>
#<alt (log (+ 1 (* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x)))))>
#<alt (* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x)))>
#<alt (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x))>
#<alt (- 1 (log (+ 1 -1)))>
#<alt (log (+ 1 -1))>
#<alt (- 1 (log (+ 1 (/ (- x y) y))))>
#<alt (log (+ 1 (/ (- x y) y)))>
#<alt (/ (- x y) y)>
#<alt (- x y)>
#<alt (/ 1 (/ 1 (- 1 (log (+ 1 (/ (- x y) (+ y -1)))))))>
#<alt (/ 1 (- 1 (log (+ 1 (/ (- x y) (+ y -1))))))>
#<alt (- 1 (log (+ 1 (/ (- x y) (+ y -1)))))>
#<alt (log (+ 1 (/ (- x y) (+ y -1))))>
#<alt (- 1 (log (+ 1 (* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x)))))))>
#<alt (log (+ 1 (* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x))))))>
#<alt (* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x))))>
#<alt (- 0 x)>
#<alt (+ y -1)>
#<alt (* (+ y -1) x)>
Outputs
#<alt (- 1 (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- y 1))))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (* x (- (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- y 1)))))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- y 1)))))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x))))>
#<alt (- (+ 1 (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x)))))>
#<alt (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (/ y (- 1 y))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (/ y (- 1 y))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* -1 (/ (* x (* y (- (/ 1 x) 1))) (+ 1 (* -1 x))))) (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (* (pow x 2) (pow (- (/ 1 x) 1) 2)) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x))))))) (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (* (pow x 2) (pow (- (/ 1 x) 1) 2)) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (* (pow x 3) (pow (- (/ 1 x) 1) 3)) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (* (pow x 2) (pow (- (/ 1 x) 1) 2)) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x)))))))) (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))>
#<alt (- 1 (+ (log (* x (- 1 (/ 1 x)))) (log (/ 1 y))))>
#<alt (- 1 (+ (log (* x (- 1 (/ 1 x)))) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* x (- 1 (/ 1 x)))) (log (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log (* x (- 1 (/ 1 x)))) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- 1 (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (/ 1 (- 1 (/ 1 x))) (/ 1 (* x (- 1 (/ 1 x))))) y))) (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))>
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#<alt (- 1 (+ (log (* -1 (* x (- (/ 1 x) 1)))) (log (/ 1 y))))>
#<alt (- 1 (+ (log (* -1 (* x (- (/ 1 x) 1)))) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 (* x (- (/ 1 x) 1)))) (log (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log (* -1 (* x (- (/ 1 x) 1)))) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- 1 (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (/ 1 (- 1 (/ 1 x))) (/ 1 (* x (- 1 (/ 1 x))))) y))) (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)))) y)) (/ 1 (- 1 (/ 1 x)))) (/ 1 (* x (- 1 (/ 1 x))))) y))) (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- (/ 1 x) 1) (- 1 (/ 1 x)))) (+ (* 2 (/ (pow (- (/ 1 x) 1) 3) (pow (- 1 (/ 1 x)) 3))) (* 6 (/ (- (/ 1 x) 1) (- 1 (/ 1 x)))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)))))) y)) (/ 1 (- 1 (/ 1 x)))) (/ 1 (* x (- 1 (/ 1 x))))) y))) (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))>
#<alt (log (+ 1 (* -1 (/ y (- y 1)))))>
#<alt (+ (log (+ 1 (* -1 (/ y (- y 1))))) (* -1 (/ x (* (+ 1 (* -1 (/ y (- y 1)))) (- 1 y)))))>
#<alt (+ (log (+ 1 (* -1 (/ y (- y 1))))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (* -1 (/ y (- y 1)))) (- 1 y))))))>
#<alt (+ (log (+ 1 (* -1 (/ y (- y 1))))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (* -1 (/ y (- y 1)))) (- 1 y))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- 1 y)) x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- 1 y) 2)) (pow x 2))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- 1 y) 3)) (pow x 3)))))))>
#<alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- 1 y)) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (* -1 (/ y (- y 1)))) (- 1 y))) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (* -1 (/ y (- y 1)))) 2) (pow (- 1 y) 2))) (* -1/3 (/ (* (pow (+ 1 (* -1 (/ y (- y 1)))) 3) (pow (- 1 y) 3)) x))) x)) (* (+ 1 (* -1 (/ y (- y 1)))) (- 1 y))) x))))>
#<alt (log (+ 1 (* -1 x)))>
#<alt (+ (log (+ 1 (* -1 x))) (* -1 (/ (* x (* y (- 1 (/ 1 x)))) (+ 1 (* -1 x)))))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (+ (* -1 (/ (* x (- 1 (/ 1 x))) (+ 1 (* -1 x)))) (* 1/2 (* y (+ (* -2 (/ (* x (- 1 (/ 1 x))) (+ 1 (* -1 x)))) (* -1 (/ (* (pow x 2) (pow (- 1 (/ 1 x)) 2)) (pow (+ 1 (* -1 x)) 2)))))))))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (+ (* -1 (/ (* x (- 1 (/ 1 x))) (+ 1 (* -1 x)))) (* y (+ (* 1/6 (* y (+ (* -6 (/ (* x (- 1 (/ 1 x))) (+ 1 (* -1 x)))) (+ (* -6 (/ (* (pow x 2) (pow (- 1 (/ 1 x)) 2)) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (* (pow x 3) (pow (- 1 (/ 1 x)) 3)) (pow (+ 1 (* -1 x)) 3))))))) (* 1/2 (+ (* -2 (/ (* x (- 1 (/ 1 x))) (+ 1 (* -1 x)))) (* -1 (/ (* (pow x 2) (pow (- 1 (/ 1 x)) 2)) (pow (+ 1 (* -1 x)) 2))))))))))>
#<alt (+ (log (* -1 (* x (- (/ 1 x) 1)))) (log (/ 1 y)))>
#<alt (+ (log (* -1 (* x (- (/ 1 x) 1)))) (+ (log (/ 1 y)) (/ 1 y)))>
#<alt (+ (log (* -1 (* x (- (/ 1 x) 1)))) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))>
#<alt (+ (log (* -1 (* x (- (/ 1 x) 1)))) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))>
#<alt (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y)))>
#<alt (+ (log (* -1 (* x (- 1 (/ 1 x))))) (+ (log (/ -1 y)) (* -1 (/ (- (/ 1 (* x (- 1 (/ 1 x)))) (/ 1 (- 1 (/ 1 x)))) y))))>
#<alt (+ (log (* -1 (* x (- 1 (/ 1 x))))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)))) y)) (/ 1 (* x (- 1 (/ 1 x))))) (/ 1 (- 1 (/ 1 x)))) y))))>
#<alt (+ (log (* -1 (* x (- 1 (/ 1 x))))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- (/ 1 x) 1) (- 1 (/ 1 x)))) (+ (* 2 (/ (pow (- (/ 1 x) 1) 3) (pow (- 1 (/ 1 x)) 3))) (* 6 (/ (- (/ 1 x) 1) (- 1 (/ 1 x)))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)))))) y)) (/ 1 (* x (- 1 (/ 1 x))))) (/ 1 (- 1 (/ 1 x)))) y))))>
#<alt (* -1 (/ y (- y 1)))>
#<alt (+ (* -1 (/ x (- 1 y))) (* -1 (/ y (- y 1))))>
#<alt (+ (* -1 (/ x (- 1 y))) (* -1 (/ y (- y 1))))>
#<alt (+ (* -1 (/ x (- 1 y))) (* -1 (/ y (- y 1))))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* x (- (* -1 (/ y (* x (- y 1)))) (/ 1 (- 1 y))))>
#<alt (* x (- (* -1 (/ y (* x (- y 1)))) (/ 1 (- 1 y))))>
#<alt (* x (- (* -1 (/ y (* x (- y 1)))) (/ 1 (- 1 y))))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* -1 (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))>
#<alt (* -1 (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))>
#<alt (* -1 (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* x (* y (- 1 (/ 1 x))))))>
#<alt (+ (* -1 x) (* y (+ (* -1 (* x (* y (- 1 (/ 1 x))))) (* -1 (* x (- 1 (/ 1 x)))))))>
#<alt (+ (* -1 x) (* y (+ (* -1 (* x (- 1 (/ 1 x)))) (* y (+ (* -1 (* x (* y (- 1 (/ 1 x))))) (* -1 (* x (- 1 (/ 1 x)))))))))>
#<alt -1>
#<alt (- (* -1 (/ (* x (- (/ 1 x) 1)) y)) 1)>
#<alt (- (+ (* -1 (/ (* x (- (/ 1 x) 1)) y)) (* -1 (/ (* x (- (/ 1 x) 1)) (pow y 2)))) 1)>
#<alt (- (+ (* -1 (/ (* x (- (/ 1 x) 1)) y)) (+ (* -1 (/ (* x (- (/ 1 x) 1)) (pow y 2))) (* -1 (/ (* x (- (/ 1 x) 1)) (pow y 3))))) 1)>
#<alt -1>
#<alt (- (/ (* x (- 1 (/ 1 x))) y) 1)>
#<alt (- (* -1 (/ (+ (* -1 (* x (- 1 (/ 1 x)))) (/ (* x (- (/ 1 x) 1)) y)) y)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (* x (- 1 (/ 1 x)))) (* -1 (/ (+ (* -1 (* x (- (/ 1 x) 1))) (/ (* x (- 1 (/ 1 x))) y)) y))) y)) 1)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
Calls

102 calls:

TimeVariablePointExpression
51.0ms
y
@-inf
(- 1 (log (+ 1 (/ (- x y) y))))
41.0ms
y
@0
(- 1 (log (+ 1 (/ (- x y) y))))
38.0ms
x
@0
(- 1 (log (+ 1 (/ (- x y) y))))
16.0ms
x
@-inf
(- 1 (log (+ 1 (/ (- x y) y))))
6.0ms
x
@inf
(- 1 (log (+ 1 (/ (- x y) y))))

rewrite355.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
2920×fma-lowering-fma.f32
2920×fma-lowering-fma.f64
2156×+-lowering-+.f64
2156×+-lowering-+.f32
1880×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038184
1313184
23889181
08085181
Stop Event
1×iter limit
1×node limit
Counts
20 → 480
Calls
Call 1
Inputs
(- 1 (log (+ 1 (* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x))))))
(log (+ 1 (* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x)))))
(* x (+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x)))
(+ (/ 1 (+ y -1)) (/ (/ y (- 1 y)) x))
(- 1 (log (+ 1 -1)))
(log (+ 1 -1))
(- 1 (log (+ 1 (/ (- x y) y))))
(log (+ 1 (/ (- x y) y)))
(/ (- x y) y)
(- x y)
(/ 1 (/ 1 (- 1 (log (+ 1 (/ (- x y) (+ y -1)))))))
(/ 1 (- 1 (log (+ 1 (/ (- x y) (+ y -1))))))
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
(log (+ 1 (/ (- x y) (+ y -1))))
(- 1 (log (+ 1 (* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x)))))))
(log (+ 1 (* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x))))))
(* (- 0 x) (+ (/ 1 (- 1 y)) (/ y (* (+ y -1) x))))
(- 0 x)
(+ y -1)
(* (+ y -1) x)
Outputs
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))))) (/.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))) (/.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))))))))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y)))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
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(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) y))) (-.f64 #s(literal 0 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))))) x)
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(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 y #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) y)
(-.f64 y #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
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(*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
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(+.f64 (*.f64 x y) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x y))
(fma.f64 x y (-.f64 #s(literal 0 binary64) x))
(fma.f64 x y (*.f64 x #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) (*.f64 x y))
(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
(fma.f64 y x (*.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) (*.f64 x y))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (*.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) x) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) x)

simplify431.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
4782×*-lowering-*.f32
4782×*-lowering-*.f64
3890×+-lowering-+.f64
3890×+-lowering-+.f32
1976×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113111085
139819679
087589679
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(- 1 (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- y 1))))) (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- y 1)))))) (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- y 1)))))) (log (+ 1 (/ y (- 1 y)))))
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(- (+ 1 (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x))))
(- (+ 1 (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x)))))
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (/ y (- 1 y))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (/ y (- 1 y))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- 1 (log (+ 1 (* -1 x))))
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(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (* (pow x 2) (pow (- (/ 1 x) 1) 2)) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x))))))) (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
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(- 1 (+ (log (* x (- 1 (/ 1 x)))) (log (/ 1 y))))
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(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log (* x (- 1 (/ 1 x)))) (+ (log (/ 1 y)) (/ 1 y))))
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(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)))) y)) (/ 1 (- 1 (/ 1 x)))) (/ 1 (* x (- 1 (/ 1 x))))) y))) (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- (/ 1 x) 1) (- 1 (/ 1 x)))) (+ (* 2 (/ (pow (- (/ 1 x) 1) 3) (pow (- 1 (/ 1 x)) 3))) (* 6 (/ (- (/ 1 x) 1) (- 1 (/ 1 x)))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)))))) y)) (/ 1 (- 1 (/ 1 x)))) (/ 1 (* x (- 1 (/ 1 x))))) y))) (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))
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(+ (log (+ 1 (/ y (- 1 y)))) (* x (+ (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- y 1))))))
(+ (log (+ 1 (/ y (- 1 y)))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- y 1))))))
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x)))
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x))))
(+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x)))))
(+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x)))
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (/ y (- 1 y))) (- y 1))) (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) x))) x))))
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (+ 1 (/ y (- 1 y))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)) x))) x))) x))))
(log (+ 1 (* -1 x)))
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(+ (log (+ 1 (* -1 x))) (* y (+ (* 1/2 (* y (+ (* -1 (/ (* (pow x 2) (pow (- (/ 1 x) 1) 2)) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x))))))) (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x))))))
(+ (log (+ 1 (* -1 x))) (* y (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (* (pow x 2) (pow (- (/ 1 x) 1) 2)) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (* (pow x 3) (pow (- (/ 1 x) 1) 3)) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (* (pow x 2) (pow (- (/ 1 x) 1) 2)) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x)))))))) (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x))))))
(+ (log (* x (- 1 (/ 1 x)))) (log (/ 1 y)))
(+ (log (* x (- 1 (/ 1 x)))) (+ (log (/ 1 y)) (/ 1 y)))
(+ (log (* x (- 1 (/ 1 x)))) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))
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(+ (* -1 (/ x (- 1 y))) (* -1 (/ y (- y 1))))
(+ (* -1 (/ x (- 1 y))) (* -1 (/ y (- y 1))))
(+ (* -1 (/ x (- 1 y))) (* -1 (/ y (- y 1))))
(* -1 (/ x (- 1 y)))
(* x (- (* -1 (/ y (* x (- y 1)))) (/ 1 (- 1 y))))
(* x (- (* -1 (/ y (* x (- y 1)))) (/ 1 (- 1 y))))
(* x (- (* -1 (/ y (* x (- y 1)))) (/ 1 (- 1 y))))
(* -1 (/ x (- 1 y)))
(* -1 (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))
(* -1 (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))
(* -1 (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))
(* -1 x)
(+ (* -1 x) (* -1 (* x (* y (- 1 (/ 1 x))))))
(+ (* -1 x) (* y (+ (* -1 (* x (* y (- 1 (/ 1 x))))) (* -1 (* x (- 1 (/ 1 x)))))))
(+ (* -1 x) (* y (+ (* -1 (* x (- 1 (/ 1 x)))) (* y (+ (* -1 (* x (* y (- 1 (/ 1 x))))) (* -1 (* x (- 1 (/ 1 x)))))))))
-1
(- (* -1 (/ (* x (- (/ 1 x) 1)) y)) 1)
(- (+ (* -1 (/ (* x (- (/ 1 x) 1)) y)) (* -1 (/ (* x (- (/ 1 x) 1)) (pow y 2)))) 1)
(- (+ (* -1 (/ (* x (- (/ 1 x) 1)) y)) (+ (* -1 (/ (* x (- (/ 1 x) 1)) (pow y 2))) (* -1 (/ (* x (- (/ 1 x) 1)) (pow y 3))))) 1)
-1
(- (/ (* x (- 1 (/ 1 x))) y) 1)
(- (* -1 (/ (+ (* -1 (* x (- 1 (/ 1 x)))) (/ (* x (- (/ 1 x) 1)) y)) y)) 1)
(- (* -1 (/ (+ (* -1 (* x (- 1 (/ 1 x)))) (* -1 (/ (+ (* -1 (* x (- (/ 1 x) 1))) (/ (* x (- 1 (/ 1 x))) y)) y))) y)) 1)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
Outputs
(- 1 (log (+ 1 (/ y (- 1 y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(- (+ 1 (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- y 1))))) (log (+ 1 (/ y (- 1 y)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- y 1)))))) (log (+ 1 (/ y (- 1 y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64)))))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- y 1)))))) (log (+ 1 (/ y (- 1 y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64)))))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))))
(- (+ 1 (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))) x)) (-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))))
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))))) (*.f64 x x)) (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))) x))))
(- (+ 1 (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) x)))) (+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))) x) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (*.f64 x x)))))
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ 1 (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))) x)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)) x)) (* -1 (* (+ 1 (/ y (- 1 y))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64)))) #s(literal -1/2 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64)))) x)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (+ 1 (/ y (- 1 y))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 y #s(literal -1 binary64)))) x)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- 1 (log (+ 1 (* -1 x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(- (+ 1 (* -1 (/ (* x (* y (- (/ 1 x) 1))) (+ 1 (* -1 x))))) (log (+ 1 (* -1 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (* (pow x 2) (pow (- (/ 1 x) 1) 2)) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x))))))) (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (* (pow x 2) (pow (- (/ 1 x) 1) 2)) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (* (pow x 3) (pow (- (/ 1 x) 1) 3)) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (* (pow x 2) (pow (- (/ 1 x) 1) 2)) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x)))))))) (/ (* x (- (/ 1 x) 1)) (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) (+.f64 (/.f64 (*.f64 #s(literal -6 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(- 1 (+ (log (* x (- 1 (/ 1 x)))) (log (/ 1 y))))
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 y)))
(- 1 (+ (log (* x (- 1 (/ 1 x)))) (+ (log (/ 1 y)) (/ 1 y))))
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(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* x (- 1 (/ 1 x)))) (log (/ 1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)) (-.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 y)))
(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log (* x (- 1 (/ 1 x)))) (+ (log (/ 1 y)) (/ 1 y))))
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(- 1 (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))
(-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(- (+ 1 (* -1 (/ (- (/ 1 (- 1 (/ 1 x))) (/ 1 (* x (- 1 (/ 1 x))))) y))) (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) y)) (+.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)))) y)) (/ 1 (- 1 (/ 1 x)))) (/ 1 (* x (- 1 (/ 1 x))))) y))) (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))
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(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- (/ 1 x) 1) (- 1 (/ 1 x)))) (+ (* 2 (/ (pow (- (/ 1 x) 1) 3) (pow (- 1 (/ 1 x)) 3))) (* 6 (/ (- (/ 1 x) 1) (- 1 (/ 1 x)))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- (/ 1 x) 1) 2) (pow (- 1 (/ 1 x)) 2)))))) y)) (/ 1 (- 1 (/ 1 x)))) (/ 1 (* x (- 1 (/ 1 x))))) y))) (+ (log (* -1 (* x (- 1 (/ 1 x))))) (log (/ -1 y))))
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(log (+ 1 (/ y (- 1 y))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(+ (log (+ 1 (/ y (- 1 y)))) (/ x (* (+ 1 (/ y (- 1 y))) (- y 1))))
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y
(* -1 (* y (- (/ 1 y) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (/ 1 y) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (/ 1 y) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(*.f64 y (-.f64 x (/.f64 x y)))
(* y (+ x (* -1 (/ x y))))
(*.f64 y (-.f64 x (/.f64 x y)))
(* y (+ x (* -1 (/ x y))))
(*.f64 y (-.f64 x (/.f64 x y)))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 (-.f64 (/.f64 x y) x) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 (-.f64 (/.f64 x y) x) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 (-.f64 (/.f64 x y) x) (-.f64 #s(literal 0 binary64) y))
(* 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)))
(* 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)))
(* 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)))

eval213.0ms (1.8%)

Compiler

Compiled 30906 to 3576 computations (88.4% saved)

prune133.0ms (1.1%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New986151001
Fresh4913
Picked325
Done000
Total993261019
Accuracy
100.0%
Counts
1019 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))))))
54.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) (-.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))))))
✓73.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
28.7%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64)))) (/.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))) y)))
43.4%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1/2 binary64))))
28.9%
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
29.9%
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
▶10.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
16.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) y)))
73.6%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (+.f64 y #s(literal -1 binary64)))))
67.6%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) x) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))))))
57.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))))) x)))
42.1%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
73.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
29.7%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x y)))
▶74.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) x))))
▶63.9%
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
70.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))))
▶14.1%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))))
57.5%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))))
42.4%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
3.7%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x))))
62.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (*.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))))))))
▶72.4%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (*.f64 (+.f64 x (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))))))
✓2.4%
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
24.5%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 (/.f64 x y) #s(literal 0 binary64))))
Compiler

Compiled 1180 to 623 computations (47.2% saved)

simplify169.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 (+.f64 #s(literal -1 binary64) x))
✓cost-diff0
(log.f64 y)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (log.f64 y))
✓cost-diff0
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
✓cost-diff256
(*.f64 (+.f64 x (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
✓cost-diff512
(*.f64 x (*.f64 (+.f64 x (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
✓cost-diff512
(log1p.f64 (*.f64 x (*.f64 (+.f64 x (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))))
✓cost-diff512
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (*.f64 (+.f64 x (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))
✓cost-diff256
(log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)))
✓cost-diff256
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))))
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
✓cost-diff256
(*.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
✓cost-diff384
(-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) x))
✓cost-diff384
(log1p.f64 (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)))
✓cost-diff384
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) x))))
Rules
1566×/-lowering-/.f32
1566×/-lowering-/.f64
1462×fma-lowering-fma.f32
1462×fma-lowering-fma.f64
1428×*-lowering-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
040279
1106276
2261255
3734235
42447212
56458209
08358209
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- 1 (log (+ 1 (- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x)))))
1
(log (+ 1 (- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x))))
(- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x))
(/ x (+ y -1))
x
(+ y -1)
y
-1
(* (/ y (* x (+ y -1))) x)
(/ y (* x (+ y -1)))
(* x (+ y -1))
(- 1 (log (+ 1 (- 0 x))))
1
(log (+ 1 (- 0 x)))
(- 0 x)
0
x
(- 1 (log (+ 1 (* (/ 1 y) (- x y)))))
1
(log (+ 1 (* (/ 1 y) (- x y))))
(* (/ 1 y) (- x y))
(/ 1 y)
y
(- x y)
x
(- 1 (log (+ 1 (* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y))))))))
1
(log (+ 1 (* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y)))))))
(* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y)))))
x
(* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y))))
(+ x (/ (+ y -1) (- (/ 1 y) 1)))
(/ (+ y -1) (- (/ 1 y) 1))
(+ y -1)
y
-1
(- (/ 1 y) 1)
(/ 1 y)
(/ -1 (* x (- 1 y)))
(* x (- 1 y))
(- 1 y)
(- (+ 1 (log y)) (log (+ -1 x)))
(+ 1 (log y))
1
(log y)
y
(log (+ -1 x))
(+ -1 x)
-1
x
Outputs
(- 1 (log (+ 1 (- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y))))
1
#s(literal 1 binary64)
(log (+ 1 (- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x))))
(log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y)))
(- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y))
(/ x (+ y -1))
(/.f64 x (+.f64 y #s(literal -1 binary64)))
x
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(* (/ y (* x (+ y -1))) x)
(/.f64 y (+.f64 y #s(literal -1 binary64)))
(/ y (* x (+ y -1)))
(/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (+ y -1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(- 1 (log (+ 1 (- 0 x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(log (+ 1 (- 0 x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(- 1 (log (+ 1 (* (/ 1 y) (- x y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
1
#s(literal 1 binary64)
(log (+ 1 (* (/ 1 y) (- x y))))
(log.f64 (/.f64 x y))
(* (/ 1 y) (- x y))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(- x y)
(-.f64 x y)
x
(- 1 (log (+ 1 (* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y))))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))))))
1
#s(literal 1 binary64)
(log (+ 1 (* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y)))))))
(log1p.f64 (+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y)))))
(+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))))
x
(* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(+ x (/ (+ y -1) (- (/ 1 y) 1)))
(+.f64 x (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))))
(/ (+ y -1) (- (/ 1 y) 1))
(/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(- (/ 1 y) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ -1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (log y)) (log (+ -1 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 x #s(literal -1 binary64))))
(+ 1 (log y))
(+.f64 #s(literal 1 binary64) (log.f64 y))
1
#s(literal 1 binary64)
(log y)
(log.f64 y)
y
(log (+ -1 x))
(log.f64 (+.f64 x #s(literal -1 binary64)))
(+ -1 x)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
x

localize269.0ms (2.3%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (log.f64 y))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(log.f64 (+.f64 #s(literal -1 binary64) x))
✓accuracy100.0%
(log.f64 y)
✓accuracy100.0%
(*.f64 (+.f64 x (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓accuracy100.0%
(*.f64 x (*.f64 (+.f64 x (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
✓accuracy100.0%
(log1p.f64 (*.f64 x (*.f64 (+.f64 x (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))))
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))
✓accuracy100.0%
(log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy100.0%
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)
✓accuracy100.0%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓accuracy100.0%
(log1p.f64 (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) x)))
Results
186.0ms256×0invalid
Compiler

Compiled 297 to 37 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
compiled-spec: 67.0ms (37.4% of total)
ival-add: 58.0ms (32.4% of total)
ival-log: 15.0ms (8.4% of total)
ival-div: 14.0ms (7.8% of total)
ival-sub: 14.0ms (7.8% of total)
ival-mult: 10.0ms (5.6% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

series84.0ms (0.7%)

Counts
24 → 468
Calls
Call 1
Inputs
#<alt (- 1 (log (+ 1 (- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x)))))>
#<alt (log (+ 1 (- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x))))>
#<alt (- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x))>
#<alt (* (/ y (* x (+ y -1))) x)>
#<alt (- 1 (log (+ 1 (- 0 x))))>
#<alt (log (+ 1 (- 0 x)))>
#<alt (- 0 x)>
#<alt (- 1 (log (+ 1 (* (/ 1 y) (- x y)))))>
#<alt (log (+ 1 (* (/ 1 y) (- x y))))>
#<alt (* (/ 1 y) (- x y))>
#<alt (/ 1 y)>
#<alt (- 1 (log (+ 1 (* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y))))))))>
#<alt (log (+ 1 (* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y)))))))>
#<alt (* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y)))))>
#<alt (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y))))>
#<alt (- (+ 1 (log y)) (log (+ -1 x)))>
#<alt (+ 1 (log y))>
#<alt (log y)>
#<alt (log (+ -1 x))>
#<alt (* x (+ y -1))>
#<alt (+ y -1)>
#<alt (- x y)>
#<alt (* x (- 1 y))>
#<alt (+ -1 x)>
Outputs
#<alt (- 1 (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (* -1 (/ x (* (- 1 (/ y (- y 1))) (- y 1))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (* x (- (* 1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1)))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))>
#<alt (- (+ 1 (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))>
#<alt (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) x)) (* -1 (* (- 1 (/ y (- y 1))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) x)) (* -1/2 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) x)) (* -1 (* (- 1 (/ y (- y 1))) (- y 1)))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (+ (* -1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (+ (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))>
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))))))>
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))>
#<alt (- 1 (+ (log (+ 1 (* -1 x))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))) y))) (+ (log (+ 1 (* -1 x))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) y)) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))) y))) (+ (log (+ 1 (* -1 x))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* 2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- x 1) (+ 1 (* -1 x)))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))))) y)) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x)))) y))) (+ (log (+ 1 (* -1 x))) (log (/ -1 y))))>
#<alt (log (- 1 (/ y (- y 1))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (/ x (* (- 1 (/ y (- y 1))) (- y 1))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (+ (* -1/2 (/ x (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)))))) (/ 1 (* (- 1 (/ y (- y 1))) (- y 1))))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x))))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ (* (- 1 (/ y (- y 1))) (- y 1)) x)))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (- 1 (/ y (- y 1))) (- y 1))) (* 1/2 (/ (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2)) x))) x))))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (* (- 1 (/ y (- y 1))) (- y 1))) (* -1 (/ (+ (* -1/2 (* (pow (- 1 (/ y (- y 1))) 2) (pow (- y 1) 2))) (* 1/3 (/ (* (pow (- 1 (/ y (- y 1))) 3) (pow (- y 1) 3)) x))) x))) x))))>
#<alt (log (+ 1 (* -1 x)))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x))))))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* 1/2 (* y (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (- (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- 1 x) (+ 1 (* -1 x)))))))) (* 1/2 (+ (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 x)) 2))) (* 2 (/ (- 1 x) (+ 1 (* -1 x)))))))) (/ 1 (+ 1 (* -1 x)))) (/ x (+ 1 (* -1 x))))))>
#<alt (+ (log (- x 1)) (log (/ 1 y)))>
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1))))))>
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2))))))>
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (* -1 (/ (+ 1 (* -1 x)) (* y (- x 1)))) (+ (* 1/6 (/ (+ (* -6 (/ (+ 1 (* -1 x)) (- x 1))) (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2))) (* -2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- x 1) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (+ 1 (* -1 x)) (- x 1))) (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- x 1) 2)))) (pow y 2)))))))>
#<alt (+ (log (+ 1 (* -1 x))) (log (/ -1 y)))>
#<alt (+ (log (+ 1 (* -1 x))) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))) y))))>
#<alt (+ (log (+ 1 (* -1 x))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) y)) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))) y))))>
#<alt (+ (log (+ 1 (* -1 x))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* 2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))) (* 6 (/ (- x 1) (+ 1 (* -1 x)))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))))) y)) (/ x (+ 1 (* -1 x)))) (/ 1 (+ 1 (* -1 x)))) y))))>
#<alt (* -1 (/ y (- y 1)))>
#<alt (- (/ x (- y 1)) (/ y (- y 1)))>
#<alt (- (/ x (- y 1)) (/ y (- y 1)))>
#<alt (- (/ x (- y 1)) (/ y (- y 1)))>
#<alt (/ x (- y 1))>
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))>
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))>
#<alt (* x (+ (* -1 (/ y (* x (- y 1)))) (/ 1 (- y 1))))>
#<alt (/ x (- y 1))>
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))>
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))>
#<alt (* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (- 1 x)))>
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))>
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- (+ 1 (* y (- 1 x))) x))) x)))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (/ 1 y)))>
#<alt (- (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ x y)) (+ 1 (/ 1 y)))>
#<alt (- (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 3))) (/ x y)) (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt -1>
#<alt (- (* -1 (/ (+ 1 (* -1 x)) y)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y)))) y)) 1)>
#<alt (* -1 y)>
#<alt (* y (- (* -1 y) 1))>
#<alt (* y (- (* y (- (* -1 y) 1)) 1))>
#<alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))>
#<alt (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))>
#<alt (/ y (- y 1))>
#<alt (/ y (- y 1))>
#<alt (/ y (- y 1))>
#<alt (/ y (- y 1))>
#<alt (/ y (- y 1))>
#<alt (/ y (- y 1))>
#<alt (/ y (- y 1))>
#<alt (/ y (- y 1))>
#<alt (/ y (- y 1))>
#<alt (/ y (- y 1))>
#<alt (/ y (- y 1))>
#<alt (/ y (- y 1))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
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#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
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#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))>
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#<alt (+ (log x) (log (/ 1 y)))>
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#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
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#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))>
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#<alt (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))>
#<alt (/ x y)>
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#<alt (/ (+ x (* -1 y)) y)>
#<alt -1>
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#<alt (* x (- (/ 1 y) (/ 1 x)))>
#<alt (* x (- (/ 1 y) (/ 1 x)))>
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#<alt (* -1 (* x (- (/ 1 x) (/ 1 y))))>
#<alt (/ 1 y)>
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#<alt (- 1 (log (+ 1 (* -1 (/ (- (/ y (- (/ 1 y) 1)) (/ 1 (- (/ 1 y) 1))) (- 1 y))))))>
#<alt (- (+ 1 (/ x (* (+ 1 (* -1 (/ (- (/ y (- (/ 1 y) 1)) (/ 1 (- (/ 1 y) 1))) (- 1 y)))) (- 1 y)))) (log (+ 1 (* -1 (/ (- (/ y (- (/ 1 y) 1)) (/ 1 (- (/ 1 y) 1))) (- 1 y))))))>
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (* -1 (/ (- (/ y (- (/ 1 y) 1)) (/ 1 (- (/ 1 y) 1))) (- 1 y)))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (* -1 (/ (- (/ y (- (/ 1 y) 1)) (/ 1 (- (/ 1 y) 1))) (- 1 y)))) (- 1 y)))))) (log (+ 1 (* -1 (/ (- (/ y (- (/ 1 y) 1)) (/ 1 (- (/ 1 y) 1))) (- 1 y))))))>
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (* -1 (/ (- (/ y (- (/ 1 y) 1)) (/ 1 (- (/ 1 y) 1))) (- 1 y)))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (* -1 (/ (- (/ y (- (/ 1 y) 1)) (/ 1 (- (/ 1 y) 1))) (- 1 y)))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (* -1 (/ (- (/ y (- (/ 1 y) 1)) (/ 1 (- (/ 1 y) 1))) (- 1 y)))) (- 1 y)))))) (log (+ 1 (* -1 (/ (- (/ y (- (/ 1 y) 1)) (/ 1 (- (/ 1 y) 1))) (- 1 y))))))>
#<alt (- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
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#<alt (- (+ 1 (* 1/2 (/ (* (pow (+ 1 (* -1 (- (/ y (* (- 1 y) (- (/ 1 y) 1))) (/ 1 (* (- 1 y) (- (/ 1 y) 1)))))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (* -1 (- (/ y (* (- 1 y) (- (/ 1 y) 1))) (/ 1 (* (- 1 y) (- (/ 1 y) 1)))))) (- 1 y)) x)))))>
#<alt (- (+ 1 (* 1/3 (/ (* (pow (+ 1 (* -1 (- (/ y (* (- 1 y) (- (/ 1 y) 1))) (/ 1 (* (- 1 y) (- (/ 1 y) 1)))))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (* -1 (- (/ y (* (- 1 y) (- (/ 1 y) 1))) (/ 1 (* (- 1 y) (- (/ 1 y) 1)))))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (* -1 (- (/ y (* (- 1 y) (- (/ 1 y) 1))) (/ 1 (* (- 1 y) (- (/ 1 y) 1)))))) 2) (pow (- 1 y) 2)) (pow x 2)))))))>
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#<alt (- (/ 1 y) (+ (/ 1 x) (/ 1 (* x y))))>
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#<alt (- (+ 1 (log y)) (log (- x 1)))>
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#<alt (- (+ 1 (+ (log y) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))) (log -1))>
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#<alt (- (+ 1 (+ (log y) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (* -1 (log (/ 1 x))))>
#<alt (- (+ 1 (+ (log y) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (* -1 (log (/ 1 x))))>
#<alt (- (+ 1 (log y)) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (+ (log y) (/ 1 x))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (+ (log y) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (+ (log y) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
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#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 y)))))>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (log y)>
#<alt (* -1 (log (/ 1 y)))>
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#<alt (* -1 (log (/ 1 y)))>
#<alt (* -1 (log (/ 1 y)))>
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#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
#<alt (+ (log -1) (* -1 (log (/ -1 y))))>
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#<alt (+ (log -1) (* -1 x))>
#<alt (+ (log -1) (* x (- (* -1/2 x) 1)))>
#<alt (+ (log -1) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))>
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#<alt (* y (+ x (* -1 (/ x y))))>
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#<alt y>
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#<alt (- x 1)>
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#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
Calls

117 calls:

TimeVariablePointExpression
28.0ms
y
@0
(- (+ 1 (log y)) (log (+ -1 x)))
15.0ms
y
@-inf
(- (+ 1 (log y)) (log (+ -1 x)))
6.0ms
y
@inf
(- (+ 1 (log y)) (log (+ -1 x)))
4.0ms
x
@-inf
(- 1 (log (+ 1 (* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y))))))))
1.0ms
x
@0
(- 1 (log (+ 1 (* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y))))))))

rewrite343.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
2580×*-lowering-*.f32
2580×*-lowering-*.f64
2510×fma-lowering-fma.f32
2510×fma-lowering-fma.f64
1888×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040212
1320201
23356201
08301201
Stop Event
1×iter limit
1×node limit
Counts
24 → 540
Calls
Call 1
Inputs
(- 1 (log (+ 1 (- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x)))))
(log (+ 1 (- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x))))
(- (/ x (+ y -1)) (* (/ y (* x (+ y -1))) x))
(* (/ y (* x (+ y -1))) x)
(- 1 (log (+ 1 (- 0 x))))
(log (+ 1 (- 0 x)))
(- 0 x)
(- 1 (log (+ 1 (* (/ 1 y) (- x y)))))
(log (+ 1 (* (/ 1 y) (- x y))))
(* (/ 1 y) (- x y))
(/ 1 y)
(- 1 (log (+ 1 (* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y))))))))
(log (+ 1 (* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y)))))))
(* x (* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y)))))
(* (+ x (/ (+ y -1) (- (/ 1 y) 1))) (/ -1 (* x (- 1 y))))
(- (+ 1 (log y)) (log (+ -1 x)))
(+ 1 (log y))
(log y)
(log (+ -1 x))
(* x (+ y -1))
(+ y -1)
(- x y)
(* x (- 1 y))
(+ -1 x)
Outputs
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y x) (+.f64 y #s(literal -1 binary64))))))))
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(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))

simplify387.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
5100×+-lowering-+.f64
5100×+-lowering-+.f32
3126×*-lowering-*.f32
3126×*-lowering-*.f64
1562×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08787048
129216158
085886158
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
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(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (- 1 y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(+ x (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+ x (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+ x (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* y (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(* y (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(* y (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 (/.f64 x y) x))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 x (/.f64 x y)))
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 x (/.f64 x y)))
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 x (/.f64 x y)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))

eval221.0ms (1.9%)

Compiler

Compiled 29078 to 3453 computations (88.1% saved)

prune170.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New108651091
Fresh12719
Picked505
Done202
Total1105121117
Accuracy
100.0%
Counts
1117 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64)))) (/.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))) y)))
43.4%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1/2 binary64))))
28.9%
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
42.1%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
▶73.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
▶29.7%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x y)))
▶63.9%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
▶24.5%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 (/.f64 x y) #s(literal 0 binary64))))
39.7%
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
25.8%
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
43.9%
(+.f64 #s(literal 1 binary64) x)
▶44.1%
#s(literal 1 binary64)
Compiler

Compiled 352 to 206 computations (41.5% saved)

simplify18.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff128
(-.f64 (/.f64 x y) #s(literal 0 binary64))
✓cost-diff128
(log.f64 (-.f64 (/.f64 x y) #s(literal 0 binary64)))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 (/.f64 x y) #s(literal 0 binary64))))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(log1p.f64 (/.f64 x y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x y)))
✓cost-diff-64
(neg.f64 x)
✓cost-diff-64
(log1p.f64 (neg.f64 x))
✓cost-diff-64
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
✓cost-diff0
(+.f64 y #s(literal -1 binary64))
✓cost-diff0
(/.f64 x (+.f64 y #s(literal -1 binary64)))
✓cost-diff0
(log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
Rules
192×sum3-define
148×+-lowering-+.f64
148×+-lowering-+.f32
102×--lowering--.f32
102×--lowering--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02175
14375
27175
311175
414775
520575
627275
732975
837475
938475
1038575
038575
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- 1 (log (+ 1 (/ x (+ y -1)))))
1
(log (+ 1 (/ x (+ y -1))))
(/ x (+ y -1))
x
(+ y -1)
y
-1
1
(- 1 (log (+ 1 (neg x))))
1
(log (+ 1 (neg x)))
(neg x)
x
(- 1 (log (+ 1 (/ x y))))
1
(log (+ 1 (/ x y)))
(/ x y)
x
y
(- 1 (log (- (/ x y) 0)))
1
(log (- (/ x y) 0))
(- (/ x y) 0)
(/ x y)
x
y
0
Outputs
(- 1 (log (+ 1 (/ x (+ y -1)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(log (+ 1 (/ x (+ y -1))))
(log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
(/ x (+ y -1))
(/.f64 x (+.f64 y #s(literal -1 binary64)))
x
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(- 1 (log (+ 1 (neg x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(log (+ 1 (neg x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(- 1 (log (+ 1 (/ x y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x y)))
1
#s(literal 1 binary64)
(log (+ 1 (/ x y)))
(log1p.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
x
y
(- 1 (log (- (/ x y) 0)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
1
#s(literal 1 binary64)
(log (- (/ x y) 0))
(log.f64 (/.f64 x y))
(- (/ x y) 0)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
y
0
#s(literal 0 binary64)

localize301.0ms (2.5%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 (/.f64 x y) #s(literal 0 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 (/.f64 x y) #s(literal 0 binary64))))
✓accuracy95.1%
(log.f64 (-.f64 (/.f64 x y) #s(literal 0 binary64)))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x y)))
✓accuracy95.1%
(log1p.f64 (/.f64 x y))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(log1p.f64 (neg.f64 x))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy100.0%
(log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
✓accuracy100.0%
(/.f64 x (+.f64 y #s(literal -1 binary64)))
Results
207.0ms81×5exit
46.0ms124×0invalid
13.0ms43×0valid
6.0ms8×1valid
Compiler

Compiled 84 to 19 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
compiled-spec: 33.0ms (27.9% of total)
backward-pass: 30.0ms (25.4% of total)
ival-log: 25.0ms (21.1% of total)
ival-sub: 12.0ms (10.1% of total)
ival-add: 8.0ms (6.8% of total)
ival-div: 7.0ms (5.9% of total)
const: 2.0ms (1.7% of total)
ival-neg: 2.0ms (1.7% of total)

series88.0ms (0.7%)

Counts
13 → 264
Calls
Call 1
Inputs
#<alt (- 1 (log (+ 1 (/ x (+ y -1)))))>
#<alt (log (+ 1 (/ x (+ y -1))))>
#<alt (/ x (+ y -1))>
#<alt (+ y -1)>
#<alt (- 1 (log (+ 1 (neg x))))>
#<alt (log (+ 1 (neg x)))>
#<alt (neg x)>
#<alt (- 1 (log (+ 1 (/ x y))))>
#<alt (log (+ 1 (/ x y)))>
#<alt (/ x y)>
#<alt (- 1 (log (- (/ x y) 0)))>
#<alt (log (- (/ x y) 0))>
#<alt (- (/ x y) 0)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (/ x (- y 1))))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow (- y 1) 2))) (/ 1 (- y 1)))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/3 (/ x (pow (- y 1) 3))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))))>
#<alt (- (+ 1 (+ (* 1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ 1 x))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))))>
#<alt (- (+ 1 (+ (* -1/3 (/ (pow (- y 1) 3) (pow x 3))) (/ 1 x))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ y x)))))>
#<alt (- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- y 1) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow (- y 1) 2) x)) (* -1 (- y 1))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow (- y 1) 3) x)) (* -1/2 (pow (- y 1) 2))) x)) (* -1 (- y 1))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (/ (* x y) (+ 1 (* -1 x)))) (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2)))))) (* -1 (/ x (+ 1 (* -1 x))))))) (log (+ 1 (* -1 x))))>
#<alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ x (+ 1 (* -1 x)))) (+ (* -6 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow x 3) (pow (+ 1 (* -1 x)) 3))))))) (* 1/2 (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))))))) (* -1 (/ x (+ 1 (* -1 x))))))) (log (+ 1 (* -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (- (+ 1 (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) (pow y 2)))) (/ x y))>
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 3)))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) (pow y 2))) (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ (- (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y)) (* -1 x)) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y)) (* -1 x)) y)))>
#<alt (/ x (- y 1))>
#<alt (* x (+ (* -1/2 (/ x (pow (- y 1) 2))) (/ 1 (- y 1))))>
#<alt (* x (+ (* x (- (* 1/3 (/ x (pow (- y 1) 3))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1))))>
#<alt (* x (+ (* x (- (* x (+ (* -1/4 (/ x (pow (- y 1) 4))) (* 1/3 (/ 1 (pow (- y 1) 3))))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))) (/ 1 x))>
#<alt (- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ y x)))) (/ 1 x))>
#<alt (- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (+ (* 1/3 (/ (pow (- y 1) 3) (pow x 3))) (/ y x))))) (/ 1 x))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ y x))) (/ 1 x))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (- y 1)) (* 1/2 (/ (pow (- y 1) 2) x))) x))))>
#<alt (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (- y 1)) (* -1 (/ (+ (* -1/2 (pow (- y 1) 2)) (* 1/3 (/ (pow (- y 1) 3) x))) x))) x))))>
#<alt (log (+ 1 (* -1 x)))>
#<alt (+ (log (+ 1 (* -1 x))) (* -1 (/ (* x y) (+ 1 (* -1 x)))))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (+ (* -1 (/ x (+ 1 (* -1 x)))) (* 1/2 (* y (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2)))))))))>
#<alt (+ (log (+ 1 (* -1 x))) (* y (+ (* -1 (/ x (+ 1 (* -1 x)))) (* y (+ (* 1/6 (* y (+ (* -6 (/ x (+ 1 (* -1 x)))) (+ (* -6 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow x 3) (pow (+ 1 (* -1 x)) 3))))))) (* 1/2 (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))))))))))>
#<alt (/ x y)>
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))) y)>
#<alt (/ (+ x (+ (* 1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y)))) y)>
#<alt (/ (+ x (+ (* 1/24 (/ (+ (* -24 (pow x 2)) (+ (* -12 (pow x 2)) (+ (* -6 (pow x 4)) (+ (* 24 x) (* 24 (pow x 3)))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow x 2)) (+ (* -12 (pow x 2)) (+ (* -6 (pow x 4)) (+ (* 24 x) (* 24 (pow x 3)))))) y)) (* 1/6 (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y))) y))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* x y)))>
#<alt (+ (* -1 x) (* y (- (* -1 (* x y)) x)))>
#<alt (+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))>
#<alt (/ x y)>
#<alt (/ (+ x (/ x y)) y)>
#<alt (/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)>
#<alt (/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))>
#<alt (+ 1 (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* -1 (/ y x))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))) (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (/ y x))))>
#<alt (- (+ 1 (* -1/3 (/ (pow y 3) (pow x 3)))) (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ y x))) (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow y 2) x)) (* -1 y)) x))) (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow y 3) x)) (* -1/2 (pow y 2))) x)) (* -1 y)) x))) (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- (+ 1 (* -1 (/ y x))) (+ (log x) (* -1 (log y))))>
#<alt (- (+ 1 (* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))) (+ (log x) (* -1 (log y))))>
#<alt (- (+ 1 (* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) (+ (log x) (* -1 (log y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (- (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) (/ x y))>
#<alt (- (+ 1 (* -1/3 (/ (pow x 3) (pow y 3)))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) y)) (* -1 x)) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow x 3) y)) (* -1/2 (pow x 2))) y)) (* -1 x)) y)))>
#<alt (/ x y)>
#<alt (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1/4 (/ x (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (/ y x)))>
#<alt (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))>
#<alt (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))>
#<alt (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (/ 1 y))) (+ (* -1 (log (/ -1 x))) (/ y x)))>
#<alt (+ (log (neg (/ 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))>
#<alt (+ (log (neg (/ 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))>
#<alt (+ (log x) (* -1 (log y)))>
#<alt (+ (log x) (+ (* -1 (log y)) (/ y x)))>
#<alt (+ (log x) (+ (* -1 (log y)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))>
#<alt (+ (log x) (+ (* -1 (log y)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1/2 (/ (pow x 2) y))) y)>
#<alt (/ (+ x (+ (* -1/2 (/ (pow x 2) y)) (* 1/3 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ x (+ (* -1/2 (/ (pow x 2) y)) (+ (* -1/4 (/ (pow x 4) (pow y 3))) (* 1/3 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow x 3)) (* 1/4 (/ (pow x 4) y))) y)) (* -1/2 (pow x 2))) y))) y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (* -1 (log y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))>
#<alt (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log x) (* -1 (log y)))>
#<alt (+ (log x) (* -1 (log y)))>
#<alt (+ (log x) (* -1 (log y)))>
#<alt (+ (log x) (* -1 (log y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
Calls

66 calls:

TimeVariablePointExpression
55.0ms
y
@-inf
(- 1 (log (- (/ x y) 0)))
8.0ms
x
@-inf
(- 1 (log (- (/ x y) 0)))
6.0ms
y
@inf
(- 1 (log (- (/ x y) 0)))
5.0ms
x
@inf
(- 1 (log (+ 1 (/ x (+ y -1)))))
1.0ms
y
@0
(- 1 (log (+ 1 (/ x (+ y -1)))))

rewrite606.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
4390×*-lowering-*.f32
4390×*-lowering-*.f64
4012×/-lowering-/.f32
4012×/-lowering-/.f64
2272×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02158
114958
2146058
0903758
Stop Event
1×iter limit
1×node limit
Counts
13 → 659
Calls
Call 1
Inputs
(- 1 (log (+ 1 (/ x (+ y -1)))))
(log (+ 1 (/ x (+ y -1))))
(/ x (+ y -1))
(+ y -1)
(- 1 (log (+ 1 (neg x))))
(log (+ 1 (neg x)))
(neg x)
(- 1 (log (+ 1 (/ x y))))
(log (+ 1 (/ x y)))
(/ x y)
(- 1 (log (- (/ x y) 0)))
(log (- (/ x y) 0))
(- (/ x y) 0)
Outputs
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) x))))))
(-.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) x)))) (log1p.f64 (/.f64 (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))))
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(*.f64 (/.f64 (*.f64 (/.f64 x y) x) (/.f64 (/.f64 x y) (/.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (/.f64 y x)))))
(*.f64 (/.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (*.f64 (/.f64 x y) x) (*.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) x) (/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 (*.f64 (/.f64 x y) x) (/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) x) (/.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) (/.f64 y x))))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 x y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (*.f64 (/.f64 x y) x)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) x)) (/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (-.f64 #s(literal 0 binary64) y)))

simplify384.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
3272×+-lowering-+.f64
3272×+-lowering-+.f32
2904×*-lowering-*.f32
2904×*-lowering-*.f64
1804×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05953055
119712593
264702570
080212570
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ x (- y 1))))
(+ 1 (* x (- (* 1/2 (/ x (pow (- y 1) 2))) (/ 1 (- y 1)))))
(+ 1 (* x (- (* x (+ (* -1/3 (/ x (pow (- y 1) 3))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1)))))
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(- (+ 1 (/ 1 x)) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))))
(- (+ 1 (+ (* 1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ 1 x))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))))
(- (+ 1 (+ (* -1/3 (/ (pow (- y 1) 3) (pow x 3))) (/ 1 x))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ y x)))))
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- y 1) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow (- y 1) 2) x)) (* -1 (- y 1))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow (- y 1) 3) x)) (* -1/2 (pow (- y 1) 2))) x)) (* -1 (- y 1))) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(- 1 (log (+ 1 (* -1 x))))
(- (+ 1 (/ (* x y) (+ 1 (* -1 x)))) (log (+ 1 (* -1 x))))
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2)))))) (* -1 (/ x (+ 1 (* -1 x))))))) (log (+ 1 (* -1 x))))
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ x (+ 1 (* -1 x)))) (+ (* -6 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow x 3) (pow (+ 1 (* -1 x)) 3))))))) (* 1/2 (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))))))) (* -1 (/ x (+ 1 (* -1 x))))))) (log (+ 1 (* -1 x))))
1
(+ 1 (* -1 (/ x y)))
(- (+ 1 (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) (pow y 2)))) (/ x y))
(- (+ 1 (* -1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 3)))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) (pow y 2))) (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y)) (* -1 x)) y)))
(/ x (- y 1))
(* x (+ (* -1/2 (/ x (pow (- y 1) 2))) (/ 1 (- y 1))))
(* x (+ (* x (- (* 1/3 (/ x (pow (- y 1) 3))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1))))
(* x (+ (* x (- (* x (+ (* -1/4 (/ x (pow (- y 1) 4))) (* 1/3 (/ 1 (pow (- y 1) 3))))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1))))
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))
(- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))) (/ 1 x))
(- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ y x)))) (/ 1 x))
(- (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (- y 1) 2) (pow x 2))) (+ (* 1/3 (/ (pow (- y 1) 3) (pow x 3))) (/ y x))))) (/ 1 x))
(+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x))))
(- (+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (/ y x))) (/ 1 x))
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (- y 1)) (* 1/2 (/ (pow (- y 1) 2) x))) x))))
(+ (log (neg (/ 1 (- y 1)))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (- y 1)) (* -1 (/ (+ (* -1/2 (pow (- y 1) 2)) (* 1/3 (/ (pow (- y 1) 3) x))) x))) x))))
(log (+ 1 (* -1 x)))
(+ (log (+ 1 (* -1 x))) (* -1 (/ (* x y) (+ 1 (* -1 x)))))
(+ (log (+ 1 (* -1 x))) (* y (+ (* -1 (/ x (+ 1 (* -1 x)))) (* 1/2 (* y (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2)))))))))
(+ (log (+ 1 (* -1 x))) (* y (+ (* -1 (/ x (+ 1 (* -1 x)))) (* y (+ (* 1/6 (* y (+ (* -6 (/ x (+ 1 (* -1 x)))) (+ (* -6 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow x 3) (pow (+ 1 (* -1 x)) 3))))))) (* 1/2 (+ (* -2 (/ x (+ 1 (* -1 x)))) (* -1 (/ (pow x 2) (pow (+ 1 (* -1 x)) 2))))))))))
(/ x y)
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))) y)
(/ (+ x (+ (* 1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y)))) y)
(/ (+ x (+ (* 1/24 (/ (+ (* -24 (pow x 2)) (+ (* -12 (pow x 2)) (+ (* -6 (pow x 4)) (+ (* 24 x) (* 24 (pow x 3)))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow x 2)) (+ (* 2 (pow x 3)) (* 6 x))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 x)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow x 2)) (+ (* -12 (pow x 2)) (+ (* -6 (pow x 4)) (+ (* 24 x) (* 24 (pow x 3)))))) y)) (* 1/6 (+ (* -6 x) (+ (* -2 (pow x 3)) (* 6 (pow x 2)))))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 x)))) y))) y))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(* -1 x)
(+ (* -1 x) (* -1 (* x y)))
(+ (* -1 x) (* y (- (* -1 (* x y)) x)))
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))
(/ x y)
(/ (+ x (/ x y)) y)
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(- 1 (+ (log -1) (* -1 (log (/ 1 x)))))
(- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))
(- 1 (* -1 (log (/ -1 x))))
(- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))
(+ 1 (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(- (+ 1 (* -1 (/ y x))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(- (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))) (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (/ y x))))
(- (+ 1 (* -1/3 (/ (pow y 3) (pow x 3)))) (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))))
(- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ y x))) (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (pow y 2) x)) (* -1 y)) x))) (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow y 3) x)) (* -1/2 (pow y 2))) x)) (* -1 y)) x))) (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))
(- 1 (+ (log x) (* -1 (log y))))
(- (+ 1 (* -1 (/ y x))) (+ (log x) (* -1 (log y))))
(- (+ 1 (* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))) (+ (log x) (* -1 (log y))))
(- (+ 1 (* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) (+ (log x) (* -1 (log y))))
1
(+ 1 (* -1 (/ x y)))
(- (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) (/ x y))
(- (+ 1 (* -1/3 (/ (pow x 3) (pow y 3)))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) y)) (* -1 x)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow x 3) y)) (* -1/2 (pow x 2))) y)) (* -1 x)) y)))
(/ x y)
(* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1/4 (/ x (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (/ y x)))
(+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))
(+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))
(+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))
(+ (log (neg (/ 1 y))) (+ (* -1 (log (/ -1 x))) (/ y x)))
(+ (log (neg (/ 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))
(+ (log (neg (/ 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))
(+ (log x) (* -1 (log y)))
(+ (log x) (+ (* -1 (log y)) (/ y x)))
(+ (log x) (+ (* -1 (log y)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))
(+ (log x) (+ (* -1 (log y)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))
(/ x y)
(/ (+ x (* -1/2 (/ (pow x 2) y))) y)
(/ (+ x (+ (* -1/2 (/ (pow x 2) y)) (* 1/3 (/ (pow x 3) (pow y 2))))) y)
(/ (+ x (+ (* -1/2 (/ (pow x 2) y)) (+ (* -1/4 (/ (pow x 4) (pow y 3))) (* 1/3 (/ (pow x 3) (pow y 2)))))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow x 3)) (* 1/4 (/ (pow x 4) y))) y)) (* -1/2 (pow x 2))) y))) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))
(- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))
(- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))
(- 1 (+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x)))))
(- 1 (+ (log x) (* -1 (log y))))
(- 1 (+ (log x) (* -1 (log y))))
(- 1 (+ (log x) (* -1 (log y))))
(- 1 (+ (log x) (* -1 (log y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log x) (log (/ 1 y))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))
(+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))
(+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))
(+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))
(+ (log x) (* -1 (log y)))
(+ (log x) (* -1 (log y)))
(+ (log x) (* -1 (log y)))
(+ (log x) (* -1 (log y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x (- y 1))))
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
(+ 1 (* x (- (* 1/2 (/ x (pow (- y 1) 2))) (/ 1 (- y 1)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) y))))))
(+ 1 (* x (- (* x (+ (* -1/3 (/ x (pow (- y 1) 3))) (* 1/2 (/ 1 (pow (- y 1) 2))))) (/ 1 (- y 1)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)))))
(- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log.f64 (+.f64 #s(literal -1 binary64) y))))
(- (+ 1 (/ 1 x)) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 (log.f64 x) (/.f64 y x)) (log.f64 (+.f64 #s(literal -1 binary64) y)))))
(- (+ 1 (+ (* 1/2 (/ (pow (- y 1) 2) (pow x 2))) (/ 1 x))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ y x))))
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(- 1 (+ (log x) (* -1 (log y))))
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log.f64 y)))
(- 1 (+ (log x) (* -1 (log y))))
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log.f64 y)))
(- 1 (+ (log x) (log (/ 1 y))))
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log.f64 y)))
(- 1 (+ (log x) (log (/ 1 y))))
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log.f64 y)))
(- 1 (+ (log x) (log (/ 1 y))))
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log.f64 y)))
(- 1 (+ (log x) (log (/ 1 y))))
(-.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (log.f64 y)))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (neg (/ 1 y))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval195.0ms (1.6%)

Compiler

Compiled 21025 to 3271 computations (84.4% saved)

prune207.0ms (1.7%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New113661142
Fresh077
Picked235
Done000
Total1138161154
Accuracy
100.0%
Counts
1154 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64)))) (/.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))) y)))
43.4%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1/2 binary64))))
28.9%
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
21.2%
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))) y))
45.3%
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
22.2%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
18.2%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 x (*.f64 y y)) y)))))))
42.1%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
✓73.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
✓63.9%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
24.5%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
21.2%
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
39.7%
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
25.8%
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
43.9%
(+.f64 #s(literal 1 binary64) x)
✓44.1%
#s(literal 1 binary64)
Compiler

Compiled 1010 to 376 computations (62.8% saved)

regimes85.0ms (0.7%)

Counts
46 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 x (*.f64 y y)) y)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x y)))
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 (/.f64 x y) #s(literal 0 binary64))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 y #s(literal -1 binary64))) (+.f64 x y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 (+.f64 y #s(literal -1 binary64)) x))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (*.f64 (+.f64 x (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) x) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) (-.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (*.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))))))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64)))) (/.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))) y)))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x)))))
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
Calls

6 calls:

21.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
13.0ms
y
13.0ms
x
12.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
11.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
79.5%2x
99.9%3y
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 52 to 34 computations (34.6% saved)

regimes46.0ms (0.4%)

Counts
29 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 x (*.f64 y y)) y)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x y)))
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 (/.f64 x y) #s(literal 0 binary64))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) y)))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
Calls

4 calls:

20.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
8.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
8.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
7.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
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 46 to 30 computations (34.8% saved)

regimes13.0ms (0.1%)

Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 x (*.f64 y y)) y)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x y)))
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 (/.f64 x y) #s(literal 0 binary64))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64))))
Outputs
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
Calls

1 calls:

12.0ms
y
Results
AccuracySegmentsBranch
98.9%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 x (*.f64 y y)) y)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x y)))
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 (/.f64 x y) #s(literal 0 binary64))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x))))
Outputs
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
98.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 x (*.f64 y y)) y)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x y)))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
81.8%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 x (*.f64 y y)) y)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
Calls

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
63.9%1x
63.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 x (*.f64 y y)) y)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
Calls

2 calls:

9.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
45.3%1x
45.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -15.3b remaining (-42.7%)

Threshold costs -15.3b (-42.7%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
44.1%1y
44.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9984047193375241
0.9992338511499114
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9984047193375241
0.9992338511499114
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch211.0ms (1.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
180.0ms
0.00034516183347403347
2.2598025932209816e+27
14.0ms
-625.8489448420652
-10.552113587085698
Results
118.0ms1508×0invalid
23.0ms286×0valid
0.0ms2×1valid
Compiler

Compiled 415 to 337 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-sub: 38.0ms (53.2% of total)
ival-div: 17.0ms (23.8% of total)
ival-log: 13.0ms (18.2% of total)
const: 2.0ms (2.8% of total)
backward-pass: 1.0ms (1.4% of total)

bsearch171.0ms (1.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
124.0ms
0.00034516183347403347
2.2598025932209816e+27
36.0ms
-10.552113587085698
-0.4334224370749762
Results
72.0ms825×0invalid
24.0ms288×0valid
Compiler

Compiled 361 to 301 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sub: 22.0ms (50.4% of total)
ival-div: 10.0ms (22.9% of total)
ival-log: 9.0ms (20.6% of total)
const: 2.0ms (4.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch114.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
85.0ms
0.00034516183347403347
2.2598025932209816e+27
19.0ms
-10.552113587085698
-0.4334224370749762
Results
49.0ms671×0invalid
28.0ms288×0valid
Compiler

Compiled 325 to 265 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sub: 21.0ms (46.7% of total)
ival-div: 15.0ms (33.3% of total)
ival-log: 8.0ms (17.8% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

simplify28.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
44×+-commutative_binary64
36×sub-neg_binary64
20×*-commutative_binary64
20×neg-sub0_binary64
20×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052144
185144
2112144
3132144
4145144
5147144
6148144
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8998192055486251/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8998192055486251/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -45 binary64)) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1020000000000 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -21/2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8998192055486251/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8998192055486251/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8998192055486251/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 8998192055486251/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -45 binary64)) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1020000000000 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -45 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))) (if (<=.f64 y #s(literal 1020000000000 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -21/2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))))
(if (<=.f64 y #s(literal -21/2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal -1 binary64))))
#s(literal 1 binary64)

soundness2.5s (20.7%)

Rules
5100×+-lowering-+.f64
5100×+-lowering-+.f32
4390×*-lowering-*.f32
4390×*-lowering-*.f64
4012×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0912
12111
24111
39610
424410
562210
6180510
7360210
8381010
9461910
10463510
0463510
038184
1313184
23889181
08085181
03922261
113241821
248351433
090391433
08787048
129216158
085886158
02158
114958
2146058
0903758
040212
1320201
23356201
08301201
05953055
119712593
264702570
080212570
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
Compiler

Compiled 541 to 342 computations (36.8% saved)

preprocess58.0ms (0.5%)

Compiler

Compiled 474 to 168 computations (64.6% saved)

end0.0ms (0%)

Profiling

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