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

Time bar (total: 11.4s)

analyze152.0ms (1.3%)

Memory
12.8MiB live, 206.8MiB allocated
Algorithm
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 14 to 11 computations (21.4% saved)

sample2.3s (20.6%)

Memory
19.1MiB live, 1 844.1MiB allocated
Samples
624.0ms5 948×0valid
615.0ms1 710×0invalid
463.0ms2 308×1valid
158.0ms1 107×1invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sub: 520.0ms (47.9% of total)
ival-div: 237.0ms (21.8% of total)
ival-log: 216.0ms (19.9% of total)
adjust: 93.0ms (8.6% of total)
exact: 8.0ms (0.7% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess97.0ms (0.8%)

Memory
12.8MiB live, 94.1MiB allocated
Algorithm
egg-herbie
Rules
540×accelerator-lowering-fma.f32
540×accelerator-lowering-fma.f64
356×sub-neg
332×times-frac
296×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02568
16462
217260
343060
496760
5188360
6236560
7252660
8257160
9258560
10258560
0912
12112
24012
39112
421612
544612
678912
797412
8101712
9104612
0104610
Stop Event
iter limit
saturated
saturated
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)))))

explain237.0ms (2.1%)

Memory
5.2MiB live, 449.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
960-0-(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
790-0-(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-#s(literal 1 binary64)
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) 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-y
00-0-(-.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))sensitivity960
-.f64(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))cancellation790
Confusion
Predicted +Predicted -
+790
-9681
Precision
0.4514285714285714
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7900
-96081
Precision?
0.4514285714285714
Recall?
1.0
Freqs
test
numberfreq
081
1175
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms294×1valid
20.0ms188×0valid
10.0ms28×2valid
1.0ms3valid
Compiler

Compiled 126 to 40 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-log: 22.0ms (36.4% of total)
ival-sub: 16.0ms (26.5% of total)
ival-div: 12.0ms (19.9% of total)
adjust: 9.0ms (14.9% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory
-35.5MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.3%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify38.0ms (0.3%)

Memory
9.4MiB live, 84.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
cost-diff192
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Rules
540×accelerator-lowering-fma.f32
540×accelerator-lowering-fma.f64
232×*-lowering-*.f32
232×*-lowering-*.f64
176×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0947
12147
24047
39147
421647
544647
678947
797447
8101747
9104647
0104643
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
1
(log (- 1 (/ (- x y) (- 1 y))))
(- 1 (/ (- x y) (- 1 y)))
(/ (- x y) (- 1 y))
(- x y)
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)))))
1
#s(literal 1 binary64)
(log (- 1 (/ (- x y) (- 1 y))))
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(- 1 (/ (- x y) (- 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(/ (- x y) (- 1 y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(- x y)
(-.f64 x y)
x
y
(- 1 y)
(-.f64 #s(literal 1 binary64) y)

localize57.0ms (0.5%)

Memory
2.0MiB live, 165.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy99.9%
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
accuracy71.8%
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
accuracy66.2%
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Samples
30.0ms147×1valid
7.0ms94×0valid
5.0ms14×2valid
1.0ms3valid
Compiler

Compiled 49 to 11 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sub: 12.0ms (39% of total)
ival-log: 11.0ms (35.7% of total)
adjust: 4.0ms (13% of total)
ival-div: 3.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (0.7%)

Memory
-47.3MiB live, 31.5MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (log (- 1 (/ (- x y) (- 1 y))))>
#<alt (- 1 (log (- 1 (/ (- x y) (- 1 y)))))>
#<alt (- 1 (/ (- x y) (- 1 y)))>
#<alt (/ (- x y) (- 1 y))>
#<alt (- 1 y)>
Outputs
#<alt (log (+ 1 (/ y (- 1 y))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))))))>
#<alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))>
#<alt (log (- 1 x))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))>
#<alt (+ (log (- 1 x)) (log (/ -1 y)))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y))))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))>
#<alt (- 1 (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))))>
#<alt (- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))>
#<alt (- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (log (- 1 x)))>
#<alt (- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))))>
#<alt (- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x)))))))>
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))))>
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))>
#<alt (- 1 (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (+ 1 (/ y (- 1 y)))>
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))>
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))>
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* y (+ 1 (* -1 x)))) x)>
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x)>
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)>
#<alt (* -1 (/ (+ 1 (* -1 x)) y))>
#<alt (/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y)>
#<alt (/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y)>
#<alt (* -1 (/ (- 1 x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y))>
#<alt (* -1 (/ y (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (/ x (- 1 y))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (/ x (- 1 y))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt x>
#<alt (+ x (* -1 (* y (+ 1 (* -1 x)))))>
#<alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))>
#<alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 1) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
Calls

27 calls:

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

rewrite346.0ms (3%)

Memory
23.7MiB live, 572.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 848×accelerator-lowering-fma.f32
4 848×accelerator-lowering-fma.f64
4 138×*-lowering-*.f32
4 138×*-lowering-*.f64
3 436×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941
17141
265641
0870737
Stop Event
iter limit
node limit
Counts
5 → 310
Calls
Call 1
Inputs
(log (- 1 (/ (- x y) (- 1 y))))
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
(- 1 (/ (- x y) (- 1 y)))
(/ (- x y) (- 1 y))
(- 1 y)
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (+.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (*.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))) (+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))))) (*.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))
(+.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))
(+.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))))
(fma.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)))))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))
(fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.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) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.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 x y) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))))
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(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
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(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) y)
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
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(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(neg.f64 (+.f64 y #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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y y)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64))))
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(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y y)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal -1 binary64))))

simplify294.0ms (2.6%)

Memory
-0.4MiB live, 553.5MiB allocated
Algorithm
egg-herbie
Rules
6 808×accelerator-lowering-fma.f32
6 808×accelerator-lowering-fma.f64
3 982×+-lowering-+.f64
3 982×+-lowering-+.f32
2 656×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04392658
114202052
249431821
086721728
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(log (+ 1 (/ y (- 1 y))))
(+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))
(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))))))
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))
(log (- 1 x))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))
(+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))
(+ (log (- 1 x)) (log (/ -1 y)))
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y))))
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))
(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))
(- 1 (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))
(- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))
(- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))))
(- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(- 1 (log (- 1 x)))
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
(- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))))
(- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x)))))))
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))))
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))
(- 1 (+ (log (- 1 x)) (log (/ -1 y))))
(- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))
(+ 1 (/ y (- 1 y)))
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))
(* -1 (/ x (- 1 y)))
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* -1 (/ x (- 1 y)))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))
(- 1 x)
(- (+ 1 (* y (+ 1 (* -1 x)))) x)
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x)
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)
(* -1 (/ (+ 1 (* -1 x)) y))
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y)
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y)
(* -1 (/ (- 1 x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(log (+ 1 (/ y (- 1 y))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))
(-.f64 (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))))
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.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 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))
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(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 y #s(literal -1 binary64)) x) (-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64)))))
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(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))))))
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(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))
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(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.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 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) x)))) x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))))
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(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 (fma.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 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.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 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) x)))) x)) x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))))
(log (- 1 x))
(log1p.f64 (neg.f64 x))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))
(+.f64 y (log1p.f64 (neg.f64 x)))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) x)) (log.f64 y))
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(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (log.f64 (+.f64 #s(literal -1 binary64) x)) (log.f64 y)))
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(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))
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(+ (log (- 1 x)) (log (/ -1 y)))
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(+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
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(+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))
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(- 1 (log (+ 1 (/ y (- 1 y)))))
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(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.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 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) x)) x) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x))))
(- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.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 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.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 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) x)))) x))
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))))
(- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.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 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) x)) x) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.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 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) x)) #s(literal 1/3 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 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))) x) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y)))))
(- 1 (log (- 1 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (*.f64 y x)))) (+.f64 (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) y))))
(- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x)))))
(- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))))
(- 1 (+ (log (- 1 x)) (log (/ -1 y))))
(-.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))))
(- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y))))
(- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y))))
(- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y))
(+ 1 (/ y (- 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(* -1 (/ x (- 1 y)))
(/.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(* -1 (/ x (- 1 y)))
(/.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* y (+ 1 (* -1 x)))) x)
(*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x)
(-.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 y x) y) x))
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)
(-.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 y x) y) x)) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 x)) y))
(/.f64 (+.f64 #s(literal -1 binary64) x) y)
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y)
(/.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) y)
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) y)
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1 binary64) (-.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))) y)
(* -1 (/ (- 1 x) y))
(/.f64 (+.f64 #s(literal -1 binary64) x) y)
(* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y) (+.f64 #s(literal -1 binary64) x)) y)
(* -1 (/ y (- 1 y)))
(/.f64 y (+.f64 y #s(literal -1 binary64)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 y (+.f64 #s(literal -1 binary64) x) x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 y x) y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 y (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 y x) y) #s(literal -1 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- x 1) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y) (-.f64 #s(literal 1 binary64) x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

eval101.0ms (0.9%)

Memory
27.5MiB live, 101.1MiB allocated
Compiler

Compiled 12 464 to 1 829 computations (85.3% saved)

prune78.0ms (0.7%)

Memory
-21.8MiB live, 106.6MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New40711418
Fresh000
Picked101
Done000
Total40811419
Accuracy
100.0%
Counts
419 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.2%
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
60.1%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
71.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
39.6%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
61.2%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
41.1%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)))
40.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
41.5%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
41.7%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
71.5%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
2.4%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
Compiler

Compiled 276 to 194 computations (29.7% saved)

simplify232.0ms (2%)

Memory
12.6MiB live, 370.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 (neg.f64 x))
cost-diff0
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
cost-diff0
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff0
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
cost-diff0
(+.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) x) y)
cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))
cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
cost-diff0
(neg.f64 x)
cost-diff0
(log1p.f64 (neg.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
cost-diff0
(neg.f64 x)
cost-diff0
(log1p.f64 (neg.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
cost-diff64
(log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))
cost-diff128
(-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
cost-diff1088
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
Rules
4 696×accelerator-lowering-fma.f32
4 696×accelerator-lowering-fma.f64
2 220×*-lowering-*.f32
2 220×*-lowering-*.f64
2 032×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029194
170194
2149194
3309186
4754178
51705170
63687170
74808170
85995170
96656170
106975170
117036170
127883170
08148154
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- 1 (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))))
1
(log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))))
(- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))
(+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))
x
(/ y (+ (* y x) (neg x)))
y
(+ (* y x) (neg x))
(neg x)
(/ x (- 1 y))
(- 1 y)
(- 1 (log (+ 1 (neg x))))
1
(log (+ 1 (neg x)))
(neg x)
x
(- (- 1 y) (log (+ 1 (neg x))))
(- 1 y)
1
y
(log (+ 1 (neg x)))
(neg x)
x
(- 1 (log (/ (+ -1 x) y)))
1
(log (/ (+ -1 x) y))
(/ (+ -1 x) y)
(+ -1 x)
-1
x
y
(- (+ (* y (+ (* y -1/2) -1)) 1) (log (+ 1 (neg x))))
(+ (* y (+ (* y -1/2) -1)) 1)
y
(+ (* y -1/2) -1)
-1/2
-1
1
(log (+ 1 (neg x)))
(neg x)
x
Outputs
(- 1 (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))))
(-.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 (+ (* y x) (neg x)))) (/ x (- 1 y)))))
(log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y)))
(- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y) #s(literal 1 binary64))
(+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 y x))
x
(/ y (+ (* y x) (neg x)))
(/.f64 y (-.f64 (*.f64 x y) x))
y
(+ (* y x) (neg x))
(-.f64 (*.f64 x y) x)
(neg x)
(neg.f64 x)
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 (log (+ 1 (neg x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(log (+ 1 (neg x)))
(log1p.f64 (neg.f64 x))
(neg x)
(neg.f64 x)
x
(- (- 1 y) (log (+ 1 (neg x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(log (+ 1 (neg x)))
(log1p.f64 (neg.f64 x))
(neg x)
(neg.f64 x)
x
(- 1 (log (/ (+ -1 x) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
1
#s(literal 1 binary64)
(log (/ (+ -1 x) y))
(log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (+ -1 x) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+ -1 x)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
x
y
(- (+ (* y (+ (* y -1/2) -1)) 1) (log (+ 1 (neg x))))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(+ (* y (+ (* y -1/2) -1)) 1)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
y
(+ (* y -1/2) -1)
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(log (+ 1 (neg x)))
(log1p.f64 (neg.f64 x))
(neg x)
(neg.f64 x)
x

localize140.0ms (1.2%)

Memory
-22.1MiB live, 339.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
accuracy100.0%
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(log1p.f64 (neg.f64 x))
accuracy100.0%
(/.f64 (+.f64 #s(literal -1 binary64) x) y)
accuracy100.0%
(+.f64 #s(literal -1 binary64) x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
accuracy95.1%
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))
accuracy100.0%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(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 (neg.f64 x)))
accuracy99.9%
(fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
accuracy96.6%
(/.f64 y (fma.f64 y x (neg.f64 x)))
accuracy83.7%
(log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))
accuracy74.3%
(-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
Samples
53.0ms104×1valid
32.0ms103×0invalid
9.0ms43×0valid
4.0ms2valid
1.0ms3valid
Compiler

Compiled 181 to 30 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-log: 14.0ms (21% of total)
ival-sub: 12.0ms (18% of total)
ival-add: 10.0ms (15% of total)
adjust: 8.0ms (12% of total)
ival-mult: 8.0ms (12% of total)
ival-div: 7.0ms (10.5% of total)
ival-neg: 4.0ms (6% of total)
ival-log1p: 3.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series300.0ms (2.6%)

Memory
1.7MiB live, 120.0MiB allocated
Counts
17 → 324
Calls
Call 1
Inputs
#<alt (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))>
#<alt (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))>
#<alt (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))))>
#<alt (- 1 (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))))>
#<alt (- 1 (log (+ 1 (neg x))))>
#<alt (log (+ 1 (neg x)))>
#<alt (neg x)>
#<alt (- (- 1 y) (log (+ 1 (neg x))))>
#<alt (- 1 y)>
#<alt (- 1 (log (/ (+ -1 x) y)))>
#<alt (log (/ (+ -1 x) y))>
#<alt (/ (+ -1 x) y)>
#<alt (+ -1 x)>
#<alt (- (+ (* y (+ (* y -1/2) -1)) 1) (log (+ 1 (neg x))))>
#<alt (+ (* y (+ (* y -1/2) -1)) 1)>
#<alt (+ (* y -1/2) -1)>
#<alt (/ y (+ (* y x) (neg x)))>
Outputs
#<alt (/ y (- y 1))>
#<alt (+ (/ x (- 1 y)) (/ y (- y 1)))>
#<alt (+ (/ x (- 1 y)) (/ y (- y 1)))>
#<alt (+ (/ x (- 1 y)) (/ y (- y 1)))>
#<alt (/ x (- 1 y))>
#<alt (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))>
#<alt (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))>
#<alt (* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))>
#<alt (/ x (- 1 y))>
#<alt (* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y)))))>
#<alt x>
#<alt (+ x (* -1 (* y (+ 1 (* -1 x)))))>
#<alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))>
#<alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ x (pow y 2)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (+ (/ x (pow y 2)) (/ x (pow y 3))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 1) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) x) y))) 1) y)))>
#<alt (- 1 (/ y (- y 1)))>
#<alt (- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1)))>
#<alt (- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1)))>
#<alt (- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1)))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))>
#<alt (* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))>
#<alt (* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y)))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* y (+ 1 (* -1 x)))) x)>
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x)>
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)>
#<alt (* -1 (/ (+ 1 (* -1 x)) y))>
#<alt (/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y)>
#<alt (/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y)>
#<alt (* -1 (/ (- 1 x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y))>
#<alt (log (- 1 (/ y (- y 1))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (* -1 (/ x (* (- 1 y) (- 1 (/ y (- y 1)))))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (- (* -1/2 (/ x (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1))))))))>
#<alt (+ (log (- 1 (/ y (- y 1)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)))) (* 1/2 (/ 1 (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1))))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (+ (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)) (pow x 3)))))))>
#<alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -1 y)))))) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -1 y))))))) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -1 y))))))) x))))>
#<alt (log (- 1 x))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))>
#<alt (+ (log (- 1 x)) (log (/ -1 y)))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y))))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))>
#<alt (- 1 (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (/ x (* (- 1 y) (- 1 (/ y (- y 1)))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1)))))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)))) (* 1/2 (/ 1 (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1)))))))) (log (- 1 (/ y (- y 1)))))>
#<alt (- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)))))>
#<alt (- (+ 1 (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2)))))))>
#<alt (- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -1 y)))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -1 y))))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -1 y))))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (log (- 1 x)))>
#<alt (- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))))>
#<alt (- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x)))))))>
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))))>
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))>
#<alt (- 1 (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<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 (- 1 x)))>
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))>
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))>
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))>
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))>
#<alt (* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))>
#<alt (- 1 y)>
#<alt (- (+ 1 x) y)>
#<alt (- (+ 1 (* x (+ 1 (* 1/2 x)))) y)>
#<alt (- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) y)>
#<alt (- 1 (+ y (+ (log -1) (* -1 (log (/ 1 x))))))>
#<alt (- (+ 1 (/ 1 x)) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))>
#<alt (- 1 (+ y (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ y (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ y (* -1 (log (/ -1 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (- 1 (log (/ -1 y)))>
#<alt (- (+ 1 x) (log (/ -1 y)))>
#<alt (- (+ 1 (* x (+ 1 (* 1/2 x)))) (log (/ -1 y)))>
#<alt (- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) (log (/ -1 y)))>
#<alt (- 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))>
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))>
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))>
#<alt (- 1 (+ (log (- x 1)) (* -1 (log y))))>
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (log (/ -1 y))>
#<alt (+ (log (/ -1 y)) (* -1 x))>
#<alt (+ (log (/ -1 y)) (* x (- (* -1/2 x) 1)))>
#<alt (+ (log (/ -1 y)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))>
#<alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (/ 1 x))>
#<alt (+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))))>
#<alt (+ (log (- x 1)) (* -1 (log y)))>
#<alt (+ (log (- x 1)) (* -1 (log y)))>
#<alt (+ (log (- x 1)) (* -1 (log y)))>
#<alt (+ (log (- x 1)) (* -1 (log y)))>
#<alt (+ (log (- x 1)) (log (/ 1 y)))>
#<alt (+ (log (- x 1)) (log (/ 1 y)))>
#<alt (+ (log (- x 1)) (log (/ 1 y)))>
#<alt (+ (log (- x 1)) (log (/ 1 y)))>
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))>
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))>
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))>
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))>
#<alt (/ -1 y)>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<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)))>
#<alt (- 1 (log (- 1 x)))>
#<alt (- (+ 1 (* -1 y)) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (log (- 1 x)))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2))))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (+ (/ 1 y) (/ (log (- 1 x)) (pow y 2))))))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y))) y)) 1/2))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) 1))))>
#<alt (+ 1 (+ (* x (+ 1 (* 1/2 x))) (* y (- (* -1/2 y) 1))))>
#<alt (+ 1 (+ (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* y (- (* -1/2 y) 1))))>
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (+ (* y (- (* -1/2 y) 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)) (* y (- (* -1/2 y) 1)))) (* -1 (log (/ -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))>
#<alt -1>
#<alt (- (* -1/2 y) 1)>
#<alt (- (* -1/2 y) 1)>
#<alt (- (* -1/2 y) 1)>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* y (+ 1/2 (/ 1 y))))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (* -1 (/ y x)) (/ 1 x)))>
#<alt (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x)))>
#<alt (* y (- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ 1 (* x y)))>
#<alt (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2)))))>
#<alt (+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ 1 (* x y)))>
#<alt (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x))>
#<alt (/ y (* x (- y 1)))>
#<alt (/ y (* x (- y 1)))>
#<alt (/ y (* x (- y 1)))>
#<alt (/ y (* x (- y 1)))>
#<alt (/ y (* x (- y 1)))>
#<alt (/ y (* x (- y 1)))>
#<alt (/ y (* x (- y 1)))>
#<alt (/ y (* x (- y 1)))>
#<alt (* -1 (/ y (* x (+ 1 (* -1 y)))))>
#<alt (* -1 (/ y (* x (+ 1 (* -1 y)))))>
#<alt (* -1 (/ y (* x (+ 1 (* -1 y)))))>
#<alt (* -1 (/ y (* x (+ 1 (* -1 y)))))>
Calls

81 calls:

TimeVariablePointExpression
128.0ms
y
@0
(- 1 (log (/ (+ -1 x) y)))
128.0ms
y
@inf
(- 1 (log (/ (+ -1 x) y)))
14.0ms
y
@-inf
(- 1 (log (/ (+ -1 x) y)))
6.0ms
y
@0
(- (- 1 y) (log (+ 1 (neg x))))
1.0ms
x
@0
(- 1 (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))))

rewrite418.0ms (3.7%)

Memory
11.8MiB live, 565.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 508×*-lowering-*.f32
5 508×*-lowering-*.f64
4 230×/-lowering-/.f32
4 230×/-lowering-/.f64
3 424×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029150
1228150
22227150
08981135
Stop Event
iter limit
node limit
Counts
17 → 633
Calls
Call 1
Inputs
(+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))
(- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))
(log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y)))))
(- 1 (log (- 1 (+ (* x (/ y (+ (* y x) (neg x)))) (/ x (- 1 y))))))
(- 1 (log (+ 1 (neg x))))
(log (+ 1 (neg x)))
(neg x)
(- (- 1 y) (log (+ 1 (neg x))))
(- 1 y)
(- 1 (log (/ (+ -1 x) y)))
(log (/ (+ -1 x) y))
(/ (+ -1 x) y)
(+ -1 x)
(- (+ (* y (+ (* y -1/2) -1)) 1) (log (+ 1 (neg x))))
(+ (* y (+ (* y -1/2) -1)) 1)
(+ (* y -1/2) -1)
(/ y (+ (* y x) (neg x)))
Outputs
(+.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (-.f64 (*.f64 x y) x) (-.f64 (*.f64 x y) x))) (-.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 x (/.f64 y (-.f64 (*.f64 x y) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x)) x) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 x (-.f64 (*.f64 x y) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))))
(fma.f64 (/.f64 y (-.f64 (*.f64 x y) x)) x (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)) #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) x (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 x y)))))
(*.f64 (/.f64 y (*.f64 (-.f64 (*.f64 x y) x) (*.f64 x (-.f64 y #s(literal -1 binary64))))) (*.f64 x (-.f64 y #s(literal -1 binary64))))

simplify373.0ms (3.3%)

Memory
-4.1MiB live, 551.4MiB allocated
Algorithm
egg-herbie
Rules
5 598×accelerator-lowering-fma.f32
5 598×accelerator-lowering-fma.f64
5 448×+-lowering-+.f64
5 448×+-lowering-+.f32
2 774×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06565045
121054150
269464045
081083843
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
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(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (* -1 (log (/ -1 x))))
(- (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (* y (- (* -1/2 y) 1)))) (* -1 (log (/ -1 x))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* -1/2 y) 1)))
(+ 1 (* y (- (* -1/2 y) 1)))
(* -1/2 (pow y 2))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(* -1/2 (pow y 2))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
-1
(- (* -1/2 y) 1)
(- (* -1/2 y) 1)
(- (* -1/2 y) 1)
(* -1/2 y)
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (* y (+ 1/2 (/ 1 y))))
(* -1 (/ y x))
(* y (- (* -1 (/ y x)) (/ 1 x)))
(* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x)))
(* y (- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)))
(/ 1 x)
(+ (/ 1 x) (/ 1 (* x y)))
(+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2)))))
(+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))
(/ 1 x)
(+ (/ 1 x) (/ 1 (* x y)))
(+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2)))))
(+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x))
(/ y (* x (- y 1)))
(/ y (* x (- y 1)))
(/ y (* x (- y 1)))
(/ y (* x (- y 1)))
(/ y (* x (- y 1)))
(/ y (* x (- y 1)))
(/ y (* x (- y 1)))
(/ y (* x (- y 1)))
(* -1 (/ y (* x (+ 1 (* -1 y)))))
(* -1 (/ y (* x (+ 1 (* -1 y)))))
(* -1 (/ y (* x (+ 1 (* -1 y)))))
(* -1 (/ y (* x (+ 1 (* -1 y)))))
Outputs
(/ y (- y 1))
(/.f64 y (+.f64 y #s(literal -1 binary64)))
(+ (/ x (- 1 y)) (/ y (- y 1)))
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(+ (/ x (- 1 y)) (/ y (- y 1)))
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(+ (/ x (- 1 y)) (/ y (- y 1)))
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(* x (+ (/ 1 (- 1 y)) (/ y (* x (- y 1)))))
(fma.f64 x (/.f64 y (-.f64 (*.f64 y x) x)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y)))))
(*.f64 (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (neg.f64 x))
(* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y)))))
(*.f64 (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (neg.f64 x))
(* -1 (* x (- (/ y (* x (+ 1 (* -1 y)))) (/ 1 (- 1 y)))))
(*.f64 (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (neg.f64 x))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 y (fma.f64 y (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 y (fma.f64 y (fma.f64 y (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (* -1 (/ x y)) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ x (pow y 2)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (+ (/ x (pow y 2)) (/ x (pow y 3))))
(-.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 x (*.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- x 1) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) x) y))) 1) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y) (+.f64 x #s(literal -1 binary64))) y))
(- 1 (/ y (- y 1)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))
(- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 y (+.f64 y #s(literal -1 binary64))))
(- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 y (+.f64 y #s(literal -1 binary64))))
(- (+ 1 (* -1 (/ x (- 1 y)))) (/ y (- y 1)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 y (+.f64 y #s(literal -1 binary64))))
(* -1 (/ x (- 1 y)))
(/.f64 x (-.f64 #s(literal -1 binary64) (neg.f64 y)))
(* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(* x (- (/ 1 x) (+ (/ 1 (- 1 y)) (/ y (* x (- y 1))))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(* -1 (/ x (- 1 y)))
(/.f64 x (-.f64 #s(literal -1 binary64) (neg.f64 y)))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y)))))
(neg.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y)))))
(neg.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (+ 1 (* -1 y))))) x)) (/ 1 (- 1 y)))))
(neg.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) (/.f64 x (-.f64 #s(literal 1 binary64) y))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* y (+ 1 (* -1 x)))) x)
(*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x)
(-.f64 (fma.f64 y (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)
(fma.f64 y (-.f64 (fma.f64 y (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x))
(* -1 (/ (+ 1 (* -1 x)) y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y)
(/.f64 (+.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x))) y)
(/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 x y) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))) y)
(/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) x))))) y)
(* -1 (/ (- 1 x) y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))
(/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y) (-.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y) (+.f64 x #s(literal -1 binary64))) y)) x) (neg.f64 y))
(log (- 1 (/ y (- y 1))))
(log1p.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal -1 binary64)))))
(+ (log (- 1 (/ y (- y 1)))) (* -1 (/ x (* (- 1 y) (- 1 (/ y (- y 1)))))))
(-.f64 (log1p.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))))) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))))
(+ (log (- 1 (/ y (- y 1)))) (* x (- (* -1/2 (/ x (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1))))))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))))) (log1p.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))))))
(+ (log (- 1 (/ y (- y 1)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)))) (* 1/2 (/ 1 (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)))))) (/ 1 (* (- 1 y) (- 1 (/ y (- y 1))))))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -1/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 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) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))))) (log1p.f64 (neg.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))))))
(+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x))))
(-.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) x))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2))))))
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 x x))) (log.f64 x))) (log.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y))))
(+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (- 1 y) (- 1 (/ y (- y 1)))) x)) (+ (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (/ y (- y 1))) 2)) (pow x 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (/ y (- y 1))) 3)) (pow x 3)))))))
(+.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 x x))) (log.f64 x))) (log.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (*.f64 x (*.f64 x x))))
(+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))
(-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -1 y)))))) x))))
(-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -1 y))))))) x))))
(-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (+.f64 (/.f64 (fma.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 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (+ 1 (* -1 y))))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (+ 1 (* -1 y))))))) x))))
(-.f64 (-.f64 (neg.f64 (log1p.f64 (neg.f64 y))) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (fma.f64 #s(literal -1/2 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 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.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 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) x))) x)) x))
(log (- 1 x))
(log1p.f64 (neg.f64 x))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))
(+.f64 y (log1p.f64 (neg.f64 x)))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))
(-.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 y))
(+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))
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(+ 1 (* y (- (* -1/2 y) 1)))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ x (* y (- (* -1/2 y) 1))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) x))
(+ 1 (+ (* x (+ 1 (* 1/2 x))) (* y (- (* -1/2 y) 1))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* y (- (* -1/2 y) 1))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(- (+ 1 (* y (- (* -1/2 y) 1))) (+ (log -1) (* -1 (log (/ 1 x)))))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))))
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))
(+.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))))
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (+ (log -1) (* -1 (log (/ 1 x)))))
(+.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))))))
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (+ (log -1) (* -1 (log (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 #s(literal -1 binary64))))
(- (+ 1 (* y (- (* -1/2 y) 1))) (* -1 (log (/ -1 x))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (/ 1 x))) (* -1 (log (/ -1 x))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
(- (+ 1 (+ (* y (- (* -1/2 y) 1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))) (* -1 (log (/ -1 x))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (log.f64 (neg.f64 x))))
(- (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (* y (- (* -1/2 y) 1)))) (* -1 (log (/ -1 x))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* -1/2 y) 1)))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* -1/2 y) 1)))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ 1/2 (/ 1 y))))
(-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(* -1/2 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(* (pow y 2) (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2))
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
-1
#s(literal -1 binary64)
(- (* -1/2 y) 1)
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* -1/2 y) 1)
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* -1/2 y) 1)
(fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1 (* y (+ 1/2 (/ 1 y))))
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1 (* y (+ 1/2 (/ 1 y))))
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (/ 1 y))))
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1 (* y (+ 1/2 (/ 1 y))))
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1 (* y (+ 1/2 (/ 1 y))))
(neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* y (- (* -1 (/ y x)) (/ 1 x)))
(*.f64 y (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y x)))
(* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x)))
(*.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)))
(* y (- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)))
(*.f64 y (fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x))))
(+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y x)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x))))
(+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(/ y (* x (- y 1)))
(/.f64 y (-.f64 (*.f64 y x) x))
(/ y (* x (- y 1)))
(/.f64 y (-.f64 (*.f64 y x) x))
(/ y (* x (- y 1)))
(/.f64 y (-.f64 (*.f64 y x) x))
(/ y (* x (- y 1)))
(/.f64 y (-.f64 (*.f64 y x) x))
(/ y (* x (- y 1)))
(/.f64 y (-.f64 (*.f64 y x) x))
(/ y (* x (- y 1)))
(/.f64 y (-.f64 (*.f64 y x) x))
(/ y (* x (- y 1)))
(/.f64 y (-.f64 (*.f64 y x) x))
(/ y (* x (- y 1)))
(/.f64 y (-.f64 (*.f64 y x) x))
(* -1 (/ y (* x (+ 1 (* -1 y)))))
(neg.f64 (/.f64 y (-.f64 x (*.f64 y x))))
(* -1 (/ y (* x (+ 1 (* -1 y)))))
(neg.f64 (/.f64 y (-.f64 x (*.f64 y x))))
(* -1 (/ y (* x (+ 1 (* -1 y)))))
(neg.f64 (/.f64 y (-.f64 x (*.f64 y x))))
(* -1 (/ y (* x (+ 1 (* -1 y)))))
(neg.f64 (/.f64 y (-.f64 x (*.f64 y x))))

eval147.0ms (1.3%)

Memory
29.2MiB live, 331.7MiB allocated
Compiler

Compiled 31 233 to 3 448 computations (89% saved)

prune146.0ms (1.3%)

Memory
-13.8MiB live, 393.1MiB allocated
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1 107171 124
Fresh246
Picked235
Done000
Total1 111241 135
Accuracy
100.0%
Counts
1 135 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.0%
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
41.3%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
40.8%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
59.2%
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
60.1%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
23.6%
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))
40.9%
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
25.8%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
71.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
39.6%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
61.2%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
41.1%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)))
40.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)))
41.7%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
20.9%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
61.2%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x #s(literal 1 binary64))))))
39.0%
(-.f64 #s(literal 1 binary64) y)
41.7%
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
39.8%
(+.f64 #s(literal 1 binary64) (-.f64 x y))
41.4%
(+.f64 #s(literal 1 binary64) x)
2.8%
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
3.1%
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
4.3%
(neg.f64 y)
41.1%
#s(literal 1 binary64)
Compiler

Compiled 451 to 323 computations (28.4% saved)

simplify542.0ms (4.8%)

Memory
12.2MiB live, 490.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(/.f64 x (+.f64 y #s(literal -1 binary64)))
cost-diff0
(log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
cost-diff0
(*.f64 y #s(literal -1/2 binary64))
cost-diff0
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
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
11 344×accelerator-lowering-fma.f32
11 344×accelerator-lowering-fma.f64
1 968×*-lowering-*.f32
1 968×*-lowering-*.f64
1 800×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026141
172141
2187141
3430141
41533141
54534141
65873141
76463141
86765141
96986141
107041141
117579141
127916141
137939141
147939141
157945141
167947141
177949141
187949141
08045124
Stop Event
iter limit
node limit
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
1
(* y (* y -1/2))
y
(* y -1/2)
-1/2
(- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)))
1
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
x
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(+ (* x -1/4) -1/3)
-1/4
-1/3
-1/2
-1
(- 1 (log (/ x (+ y -1))))
1
(log (/ x (+ y -1)))
(/ x (+ y -1))
x
(+ y -1)
y
-1
Outputs
(- 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)
(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
#s(literal 1 binary64)
(* y (* y -1/2))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
y
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/4) -1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(- 1 (log (/ x (+ y -1))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(log (/ x (+ y -1)))
(log.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)

localize95.0ms (0.8%)

Memory
8.7MiB live, 165.5MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
accuracy100.0%
(/.f64 x (+.f64 y #s(literal -1 binary64)))
accuracy93.5%
(log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
accuracy100.0%
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
accuracy100.0%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
accuracy100.0%
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
accuracy100.0%
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
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)))
accuracy81.3%
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
Samples
25.0ms132×0valid
20.0ms47×1valid
15.0ms77×0invalid
Compiler

Compiled 127 to 27 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 10.0ms (24.1% of total)
ival-sub: 6.0ms (14.5% of total)
ival-div: 5.0ms (12% of total)
ival-add: 5.0ms (12% of total)
const: 4.0ms (9.6% of total)
ival-log1p: 4.0ms (9.6% of total)
ival-log: 4.0ms (9.6% of total)
adjust: 2.0ms (4.8% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (0.7%)

Memory
5.1MiB live, 116.9MiB allocated
Counts
15 → 264
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 (* y -1/2))>
#<alt (* y -1/2)>
#<alt (- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)))>
#<alt (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))>
#<alt (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)>
#<alt (+ (* x (+ (* x -1/4) -1/3)) -1/2)>
#<alt (- 1 (log (/ x (+ y -1))))>
#<alt (log (/ x (+ y -1)))>
#<alt (/ x (+ y -1))>
#<alt (+ y -1)>
#<alt (+ (* x -1/4) -1/3)>
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)))))>
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#<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)))))>
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#<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)))))>
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#<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))))>
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#<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)))>
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#<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))))>
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#<alt (* -1 (/ y (- y 1)))>
#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))>
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#<alt (+ (* -1 (/ y (- y 1))) (/ x (- y 1)))>
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#<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 (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) 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 (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))>
#<alt -1>
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#<alt -1/2>
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#<alt (- (* -1/4 x) 1/3)>
#<alt (- (* -1/4 x) 1/3)>
#<alt (- (* -1/4 x) 1/3)>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
Calls

66 calls:

TimeVariablePointExpression
33.0ms
x
@0
(- 1 (log (/ x (+ y -1))))
17.0ms
x
@-inf
(- 1 (log (/ x (+ y -1))))
6.0ms
x
@inf
(- 1 (log (/ x (+ y -1))))
2.0ms
x
@0
(log (+ 1 (/ (- x y) (+ y -1))))
1.0ms
y
@inf
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))

rewrite360.0ms (3.2%)

Memory
13.3MiB live, 489.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 524×*-lowering-*.f32
4 524×*-lowering-*.f64
4 270×/-lowering-/.f32
4 270×/-lowering-/.f64
4 108×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026121
1188121
21684121
08927105
Stop Event
iter limit
node limit
Counts
15 → 468
Calls
Call 1
Inputs
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
(log (+ 1 (/ (- x y) (+ y -1))))
(/ (- x y) (+ y -1))
(- x y)
(* y (* y -1/2))
(* y -1/2)
(- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)))
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(- 1 (log (/ x (+ y -1))))
(log (/ x (+ y -1)))
(/ x (+ y -1))
(+ y -1)
(+ (* x -1/4) -1/3)
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(+.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 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 y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.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 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.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 x y) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.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) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))))))))
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.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 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.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 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.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)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.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)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))))))
(-.f64 #s(literal 0 binary64) (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 x y)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))))
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (log1p.f64 (*.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 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))))
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(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))

simplify313.0ms (2.7%)

Memory
-1.3MiB live, 462.4MiB allocated
Algorithm
egg-herbie
Rules
6 956×accelerator-lowering-fma.f32
6 956×accelerator-lowering-fma.f64
3 780×+-lowering-+.f64
3 780×+-lowering-+.f32
3 462×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05923755
118293308
258012888
088852753
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
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(- (+ 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)))))
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(+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))
(+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) 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)))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
Outputs
(- 1 (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 (/.f64 x (*.f64 (+.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 (* 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)))))
(fma.f64 x (fma.f64 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))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.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 (* 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)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 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 #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 #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 #s(literal 1 binary64) (*.f64 (+.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 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) #s(literal 1 binary64)) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 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))))
(fma.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 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 x x))) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) #s(literal 1 binary64)) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 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 (-.f64 (+.f64 #s(literal 1 binary64) (fma.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 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))) #s(literal -1/3 binary64)) (log.f64 (+.f64 y #s(literal -1 binary64))))) (log.f64 x)) (/.f64 (fma.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 (+.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))
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 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 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x) #s(literal 1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log1p.f64 (neg.f64 y))))
(- (+ 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 (fma.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 (+.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)) (log1p.f64 (neg.f64 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 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.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 #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)) (log1p.f64 (neg.f64 y)))))
(- 1 (log (+ 1 (* -1 x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 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))))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 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))))
(-.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(- 1 (+ (log (- x 1)) (log (/ 1 y))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) 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)))))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) 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)))) (+ (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)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))))
(- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y))))
(- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 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))))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 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))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y)) (+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))))
(log (- 1 (/ y (- y 1))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(+ (log (- 1 (/ y (- y 1)))) (/ x (* (- 1 (/ y (- y 1))) (- y 1))))
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(+ (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))))))
(fma.f64 x (fma.f64 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 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(+ (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))))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 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 #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 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))
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(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(- 1 (+ (log x) (log (/ 1 (- y 1)))))
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64))))
(- 1 (+ (log x) (log (/ 1 (- y 1)))))
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64))))
(- 1 (+ (log x) (log (/ 1 (- y 1)))))
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64))))
(- 1 (+ (log x) (log (/ 1 (- y 1)))))
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 (+.f64 y #s(literal -1 binary64))))
(- 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 (+ (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 (+ (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 (+ (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 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- 1 (log (* -1 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(- (+ 1 (* -1 y)) (log (* -1 x)))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log.f64 (neg.f64 x)))
(- (+ 1 (* y (- (* -1/2 y) 1))) (log (* -1 x)))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (neg.f64 x)))
(- (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1))) (log (* -1 x)))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))))
(- 1 (+ (log x) (log (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x)))
(- 1 (+ (log x) (+ (log (/ 1 y)) (/ 1 y))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log x) (log (/ 1 y))))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 x))))
(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log x) (+ (log (/ 1 y)) (/ 1 y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 y y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (log.f64 y) (log.f64 x))))
(- 1 (+ (log (* -1 x)) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y))))
(- 1 (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y))))
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (-.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 x)) (log (/ -1 y))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)) (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y))))
(- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (+ (log (* -1 x)) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) y)) (+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (neg.f64 x))))
(+ (log x) (log (/ 1 (- y 1))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
(+ (log x) (log (/ 1 (- y 1))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
(+ (log x) (log (/ 1 (- y 1))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
(+ (log x) (log (/ 1 (- y 1))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
(+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y)))
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y)))
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y)))
(+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log1p.f64 (neg.f64 y)))
(log (* -1 x))
(log.f64 (neg.f64 x))
(+ y (log (* -1 x)))
(+.f64 y (log.f64 (neg.f64 x)))
(+ (log (* -1 x)) (* y (+ 1 (* 1/2 y))))
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 (neg.f64 x)))
(+ (log (* -1 x)) (* y (+ 1 (* y (+ 1/2 (* 1/3 y))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 (neg.f64 x)))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (+ (log (/ 1 y)) (/ 1 y)))
(-.f64 (log.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) y) (log.f64 y)))
(+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))
(+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (log.f64 y)) (log.f64 x))
(+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))))))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (neg.f64 x)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y)))
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (+.f64 (log.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))
(+.f64 (neg.f64 (log.f64 (neg.f64 y))) (+.f64 (log.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))))
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y))))
(-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 y))) (log.f64 (neg.f64 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) y)) 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)))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1 (* x y)))
(neg.f64 (fma.f64 y x x))
(+ (* -1 x) (* y (- (* -1 (* x y)) x)))
(fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x))
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))
(fma.f64 y (fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x)) (neg.f64 x))
(/ x y)
(/.f64 x y)
(/ (+ x (/ x y)) y)
(/.f64 (+.f64 x (/.f64 x y)) y)
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)
(/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))
(/.f64 (+.f64 x (/.f64 x y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)) 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))
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))

eval105.0ms (0.9%)

Memory
0.4MiB live, 243.0MiB allocated
Compiler

Compiled 19 792 to 2 565 computations (87% saved)

prune106.0ms (0.9%)

Memory
5.2MiB live, 274.5MiB allocated
Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New7662768
Fresh11516
Picked055
Done033
Total76725792
Accuracy
100.0%
Counts
792 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.0%
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
41.3%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
40.8%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
59.2%
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
60.1%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
23.6%
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))
40.9%
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
25.8%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
71.5%
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64))))))
71.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
39.6%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
61.2%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
41.1%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)))
40.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)))
41.7%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
20.9%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
25.6%
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
39.0%
(-.f64 #s(literal 1 binary64) y)
41.7%
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
39.8%
(+.f64 #s(literal 1 binary64) (-.f64 x y))
41.4%
(+.f64 #s(literal 1 binary64) x)
2.8%
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
3.1%
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
4.3%
(neg.f64 y)
41.1%
#s(literal 1 binary64)
Compiler

Compiled 417 to 300 computations (28.1% saved)

simplify181.0ms (1.6%)

Memory
14.0MiB live, 350.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(/.f64 y (+.f64 x #s(literal -1 binary64)))
cost-diff0
(log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))
cost-diff0
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(log.f64 (neg.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
cost-diff0
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 y (fma.f64 y (neg.f64 x) x))
cost-diff0
(log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64))))))
cost-diff1088
(fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64))))
Rules
5 332×accelerator-lowering-fma.f32
5 332×accelerator-lowering-fma.f64
3 046×*-lowering-*.f32
3 046×*-lowering-*.f64
1 308×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027142
161137
2100137
3180137
4316125
5641125
61400119
73417119
86123119
08017112
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- 1 (log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1))))))
1
(log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))))
(+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))
x
(/ y (+ (* y (neg x)) x))
y
(+ (* y (neg x)) x)
(neg x)
(/ x (+ y -1))
(+ y -1)
-1
(neg y)
y
(+ (* x (+ (* x 1/2) 1)) 1)
x
(+ (* x 1/2) 1)
1/2
1
(- 1 (log (neg x)))
1
(log (neg x))
(neg x)
x
(+ (log (/ y (+ x -1))) 1)
(log (/ y (+ x -1)))
(/ y (+ x -1))
y
(+ x -1)
x
-1
1
Outputs
(- 1 (log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1))))))
(-.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 (+ (* y (neg x)) x))) (/ x (+ y -1)))))
(log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y)))
(+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 x y))
x
(/ y (+ (* y (neg x)) x))
(/.f64 y (-.f64 x (*.f64 x y)))
y
(+ (* y (neg x)) x)
(-.f64 x (*.f64 x y))
(neg x)
(neg.f64 x)
(/ x (+ y -1))
(/.f64 x (+.f64 y #s(literal -1 binary64)))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(neg y)
(neg.f64 y)
y
(+ (* x (+ (* x 1/2) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(+ (* x 1/2) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(- 1 (log (neg x)))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(log (neg x))
(log.f64 (neg.f64 x))
(neg x)
(neg.f64 x)
x
(+ (log (/ y (+ x -1))) 1)
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))))
(log (/ y (+ x -1)))
(log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))
(/ y (+ x -1))
(/.f64 y (+.f64 x #s(literal -1 binary64)))
y
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)

localize226.0ms (2%)

Memory
-8.5MiB live, 68.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal -1 binary64))
accuracy100.0%
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
accuracy100.0%
(/.f64 y (+.f64 x #s(literal -1 binary64)))
accuracy95.6%
(log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(log.f64 (neg.f64 x))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(/.f64 x (+.f64 y #s(literal -1 binary64)))
accuracy99.9%
(fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64))))
accuracy96.6%
(/.f64 y (fma.f64 y (neg.f64 x) x))
accuracy83.7%
(log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
Samples
62.0ms2valid
28.0ms155×0invalid
15.0ms38×1valid
11.0ms60×0valid
Compiler

Compiled 129 to 28 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-log1p: 64.0ms (65.1% of total)
ival-add: 8.0ms (8.1% of total)
ival-mult: 7.0ms (7.1% of total)
ival-div: 6.0ms (6.1% of total)
ival-log: 5.0ms (5.1% of total)
ival-sub: 3.0ms (3.1% of total)
adjust: 2.0ms (2% of total)
ival-neg: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series284.0ms (2.5%)

Memory
10.6MiB live, 86.9MiB allocated
Counts
15 → 276
Calls
Call 1
Inputs
#<alt (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))>
#<alt (- 1 (log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1))))))>
#<alt (log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))))>
#<alt (/ y (+ (* y (neg x)) x))>
#<alt (neg y)>
#<alt (+ (* x (+ (* x 1/2) 1)) 1)>
#<alt (+ (* x 1/2) 1)>
#<alt (- 1 (log (neg x)))>
#<alt (log (neg x))>
#<alt (neg x)>
#<alt (+ (log (/ y (+ x -1))) 1)>
#<alt (log (/ y (+ x -1)))>
#<alt (/ y (+ x -1))>
#<alt (+ x -1)>
#<alt (/ x (+ y -1))>
Outputs
#<alt (/ y (+ 1 (* -1 y)))>
#<alt (+ (/ x (- y 1)) (/ y (+ 1 (* -1 y))))>
#<alt (+ (/ x (- y 1)) (/ y (+ 1 (* -1 y))))>
#<alt (+ (/ x (- y 1)) (/ y (+ 1 (* -1 y))))>
#<alt (/ x (- y 1))>
#<alt (* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y))))))>
#<alt (* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y))))))>
#<alt (* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y))))))>
#<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 (log (+ 1 (/ y (+ 1 (* -1 y))))))>
#<alt (- (+ 1 (* -1 (/ x (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))) (log (+ 1 (/ y (+ 1 (* -1 y))))))>
#<alt (- (+ 1 (* x (- (* 1/2 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) (log (+ 1 (/ y (+ 1 (* -1 y))))))>
#<alt (- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) (log (+ 1 (/ y (+ 1 (* -1 y))))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* -1 (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))))>
#<alt (- (+ 1 (* -1/3 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- 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 (* -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 (+ 1 (* -1 y)))))>
#<alt (+ (log (+ 1 (/ y (+ 1 (* -1 y))))) (/ x (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))>
#<alt (+ (log (+ 1 (/ y (+ 1 (* -1 y))))) (* x (+ (* -1/2 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))))>
#<alt (+ (log (+ 1 (/ y (+ 1 (* -1 y))))) (* x (+ (* x (- (* 1/3 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x)))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))))>
#<alt (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2))) (+ (* 1/3 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)) (pow x 3))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- 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 (* -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 (/ y x)>
#<alt (* y (+ (/ 1 x) (/ y x)))>
#<alt (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x)))>
#<alt (* y (+ (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))) (/ 1 x)))>
#<alt (/ -1 x)>
#<alt (* -1 (+ (/ 1 x) (/ 1 (* x y))))>
#<alt (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))) (+ (/ 1 x) (/ 1 (* x y))))>
#<alt (/ -1 x)>
#<alt (* -1 (+ (/ 1 x) (/ 1 (* x y))))>
#<alt (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)) (/ 1 x))>
#<alt (/ y (* x (+ 1 (* -1 y))))>
#<alt (/ y (* x (+ 1 (* -1 y))))>
#<alt (/ y (* x (+ 1 (* -1 y))))>
#<alt (/ y (* x (+ 1 (* -1 y))))>
#<alt (/ y (* x (+ 1 (* -1 y))))>
#<alt (/ y (* x (+ 1 (* -1 y))))>
#<alt (/ y (* x (+ 1 (* -1 y))))>
#<alt (/ y (* x (+ 1 (* -1 y))))>
#<alt (* -1 (/ y (* x (- y 1))))>
#<alt (* -1 (/ y (* x (- y 1))))>
#<alt (* -1 (/ y (* x (- y 1))))>
#<alt (* -1 (/ y (* x (- y 1))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (- 1 (+ (log -1) (log x)))>
#<alt (- 1 (+ (log -1) (log x)))>
#<alt (- 1 (+ (log -1) (log x)))>
#<alt (- 1 (+ (log -1) (log x)))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (* -1 (log (/ -1 x))))>
#<alt (- 1 (* -1 (log (/ -1 x))))>
#<alt (- 1 (* -1 (log (/ -1 x))))>
#<alt (- 1 (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (log x))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (log (/ -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 x)>
#<alt (+ 1 (+ (log y) (log (/ 1 (- x 1)))))>
#<alt (+ 1 (+ (log y) (log (/ 1 (- x 1)))))>
#<alt (+ 1 (+ (log y) (log (/ 1 (- x 1)))))>
#<alt (+ 1 (+ (log y) (log (/ 1 (- x 1)))))>
#<alt (+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))>
#<alt (+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))>
#<alt (+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))>
#<alt (+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))>
#<alt (+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))>
#<alt (+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))>
#<alt (+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))>
#<alt (+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))>
#<alt (+ 1 (log (* -1 y)))>
#<alt (+ 1 (+ x (log (* -1 y))))>
#<alt (+ 1 (+ (log (* -1 y)) (* x (+ 1 (* 1/2 x)))))>
#<alt (+ 1 (+ (log (* -1 y)) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))))>
#<alt (+ 1 (+ (log y) (log (/ 1 x))))>
#<alt (+ 1 (+ (log y) (+ (log (/ 1 x)) (/ 1 x))))>
#<alt (+ 1 (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))))>
#<alt (+ 1 (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))))>
#<alt (+ 1 (+ (log (* -1 y)) (log (/ -1 x))))>
#<alt (+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (/ 1 x))))>
#<alt (+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))))>
#<alt (+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))))>
#<alt (+ (log y) (log (/ 1 (- x 1))))>
#<alt (+ (log y) (log (/ 1 (- x 1))))>
#<alt (+ (log y) (log (/ 1 (- x 1))))>
#<alt (+ (log y) (log (/ 1 (- x 1))))>
#<alt (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))>
#<alt (log (* -1 y))>
#<alt (+ x (log (* -1 y)))>
#<alt (+ (log (* -1 y)) (* x (+ 1 (* 1/2 x))))>
#<alt (+ (log (* -1 y)) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))>
#<alt (+ (log y) (log (/ 1 x)))>
#<alt (+ (log y) (+ (log (/ 1 x)) (/ 1 x)))>
#<alt (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))>
#<alt (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))>
#<alt (+ (log (* -1 y)) (log (/ -1 x)))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 x)) (/ 1 x)))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))))>
#<alt (/ y (- x 1))>
#<alt (/ y (- x 1))>
#<alt (/ y (- x 1))>
#<alt (/ y (- x 1))>
#<alt (/ y (- x 1))>
#<alt (/ y (- x 1))>
#<alt (/ y (- x 1))>
#<alt (/ y (- x 1))>
#<alt (/ y (- x 1))>
#<alt (/ y (- x 1))>
#<alt (/ y (- x 1))>
#<alt (/ y (- x 1))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* -1 (* x y)))>
#<alt (+ (* -1 y) (* x (- (* -1 (* x y)) y)))>
#<alt (+ (* -1 y) (* x (- (* x (- (* -1 (* x y)) y)) y)))>
#<alt (/ y x)>
#<alt (/ (+ y (/ y x)) x)>
#<alt (/ (- (+ y (/ y (pow x 2))) (* -1 (/ y x))) x)>
#<alt (/ (- (+ y (/ y (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ y (pow x 2))))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x))) x))) x))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<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)))>
#<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))>
Calls

69 calls:

TimeVariablePointExpression
148.0ms
y
@-inf
(+ (log (/ y (+ x -1))) 1)
81.0ms
x
@0
(- 1 (log (neg x)))
15.0ms
y
@0
(+ (log (/ y (+ x -1))) 1)
13.0ms
x
@-inf
(- 1 (log (neg x)))
8.0ms
x
@inf
(- 1 (log (neg x)))

rewrite618.0ms (5.4%)

Memory
17.5MiB live, 485.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 038×/-lowering-/.f32
5 038×/-lowering-/.f64
4 870×*-lowering-*.f32
4 870×*-lowering-*.f64
4 592×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027117
1189113
21732113
09388103
Stop Event
iter limit
node limit
Counts
15 → 472
Calls
Call 1
Inputs
(+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))
(- 1 (log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1))))))
(log (+ 1 (+ (* x (/ y (+ (* y (neg x)) x))) (/ x (+ y -1)))))
(/ y (+ (* y (neg x)) x))
(neg y)
(+ (* x (+ (* x 1/2) 1)) 1)
(+ (* x 1/2) 1)
(- 1 (log (neg x)))
(log (neg x))
(neg x)
(+ (log (/ y (+ x -1))) 1)
(log (/ y (+ x -1)))
(/ y (+ x -1))
(+ x -1)
(/ x (+ y -1))
Outputs
(+.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(+.f64 (*.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (-.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))))
(fma.f64 x (/.f64 y (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x y))) x) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (/.f64 y (-.f64 x (*.f64 x y))) x (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) x (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (/.f64 y (fma.f64 x (*.f64 x x) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 y y))))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 y (-.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 x)) x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (/.f64 (*.f64 x y) (fma.f64 x (*.f64 x x) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 y y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (-.f64 (*.f64 y (neg.f64 x)) x) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 x)) x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))))
(fma.f64 (/.f64 x (-.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 y y))))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (fma.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 x (*.f64 x y)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y))) (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 x y) (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x (*.f64 x y)) x)) (*.f64 (-.f64 x (*.f64 x y)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (-.f64 x (*.f64 x y)) (neg.f64 x))) (*.f64 (-.f64 x (*.f64 x y)) (+.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 (fma.f64 (*.f64 x y) (/.f64 (+.f64 y #s(literal -1 binary64)) x) (*.f64 (-.f64 x (*.f64 x y)) #s(literal 1 binary64))) (*.f64 (-.f64 x (*.f64 x y)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 x (-.f64 x (*.f64 x y)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 x (*.f64 x y))))
(/.f64 (fma.f64 (neg.f64 x) (-.f64 x (*.f64 x y)) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 x y))) (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y)) (-.f64 x (*.f64 x y))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x y)) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x) (*.f64 x y))) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) x) (-.f64 x (*.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))) (neg.f64 (fma.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 x (*.f64 x y)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)))))))
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simplify359.0ms (3.2%)

Memory
-26.9MiB live, 649.3MiB allocated
Algorithm
egg-herbie
Rules
8 356×accelerator-lowering-fma.f32
8 356×accelerator-lowering-fma.f64
4 806×+-lowering-+.f64
4 806×+-lowering-+.f32
3 676×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05483738
116583295
253392883
094922761
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
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(+ (log y) (log (/ 1 (- x 1))))
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))
(log (* -1 y))
(+ x (log (* -1 y)))
(+ (log (* -1 y)) (* x (+ 1 (* 1/2 x))))
(+ (log (* -1 y)) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(+ (log y) (log (/ 1 x)))
(+ (log y) (+ (log (/ 1 x)) (/ 1 x)))
(+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))
(+ (log (* -1 y)) (log (/ -1 x)))
(+ (log (* -1 y)) (+ (log (/ -1 x)) (/ 1 x)))
(+ (log (* -1 y)) (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(+ (log (* -1 y)) (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))))
(/ y (- x 1))
(/ y (- x 1))
(/ y (- x 1))
(/ y (- x 1))
(/ y (- x 1))
(/ y (- x 1))
(/ y (- x 1))
(/ y (- x 1))
(/ y (- x 1))
(/ y (- x 1))
(/ y (- x 1))
(/ y (- x 1))
(* -1 y)
(+ (* -1 y) (* -1 (* x y)))
(+ (* -1 y) (* x (- (* -1 (* x y)) y)))
(+ (* -1 y) (* x (- (* x (- (* -1 (* x y)) y)) y)))
(/ y x)
(/ (+ y (/ y x)) x)
(/ (- (+ y (/ y (pow x 2))) (* -1 (/ y x))) x)
(/ (- (+ y (/ y (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ y (pow x 2))))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y x)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x))) x))) x))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 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))
(/ 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))
Outputs
(/ y (+ 1 (* -1 y)))
(/.f64 y (-.f64 #s(literal 1 binary64) y))
(+ (/ x (- y 1)) (/ y (+ 1 (* -1 y))))
(+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(+ (/ x (- y 1)) (/ y (+ 1 (* -1 y))))
(+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(+ (/ x (- y 1)) (/ y (+ 1 (* -1 y))))
(+.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- y 1))
(/.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y))))))
(fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y))))))
(fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (+ (/ 1 (- y 1)) (/ y (* x (+ 1 (* -1 y))))))
(fma.f64 x (/.f64 y (-.f64 x (*.f64 y x))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(/ x (- y 1))
(/.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))
(*.f64 x (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))))
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))
(*.f64 x (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))))
(* -1 (* x (- (/ y (* x (- y 1))) (/ 1 (- y 1)))))
(*.f64 x (+.f64 (/.f64 y (-.f64 x (*.f64 y x))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* y (- 1 x)))
(-.f64 (fma.f64 (neg.f64 y) x y) x)
(+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))
(fma.f64 y (-.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (neg.f64 x))
(+ (* -1 x) (* y (- (+ 1 (* y (- (+ 1 (* y (- 1 x))) x))) x)))
(fma.f64 y (fma.f64 y (-.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 x))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) y))
(- (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ x y)) (+ 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
(- (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 3))) (/ x y)) (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (+ 1 (* -1 x)) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) y))
(- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
(- (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y)))) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))) y))
(- 1 (log (+ 1 (/ y (+ 1 (* -1 y))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(- (+ 1 (* -1 (/ x (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))) (log (+ 1 (/ y (+ 1 (* -1 y))))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(- (+ 1 (* x (- (* 1/2 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) (log (+ 1 (/ y (+ 1 (* -1 y))))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(- (+ 1 (* x (- (* x (+ (* -1/3 (/ x (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)))))) (/ 1 (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)))))) (log (+ 1 (/ y (+ 1 (* -1 y))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.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 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.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 (+ 1 (* -1 y)))) (- y 1)) x))) (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) y) x) (log.f64 (+.f64 y #s(literal -1 binary64)))) (log.f64 x)))
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) x)))
(- (+ 1 (* -1/3 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 3) (pow (- y 1) 3)) (pow x 3)))) (+ (log (/ 1 (- y 1))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (+ 1 (* -1 y)))) 2) (pow (- y 1) 2)) (pow x 2))) (/ (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1)) x)))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) (*.f64 (/.f64 (*.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))) #s(literal -1/3 binary64)) (log.f64 (+.f64 y #s(literal -1 binary64))))) (log.f64 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) x))
(- 1 (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y))))
(- (+ 1 (* -1 (/ (* (+ 1 (* -1 (/ y (- y 1)))) (- y 1)) x))) (+ (log (neg (/ 1 (- y 1)))) (* -1 (log (/ -1 x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) y) x) (log1p.f64 (neg.f64 y)))) (neg.f64 (log.f64 (neg.f64 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 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) x)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 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 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64))))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))) x) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log1p.f64 (neg.f64 y)))))
(- 1 (log (+ 1 (* -1 x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* y (- (/ x (+ 1 (* -1 x))) (/ 1 (+ 1 (* -1 x)))))) (log (+ 1 (* -1 x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 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))))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 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))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))
(- 1 (+ (log (- x 1)) (log (/ 1 y))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(- (+ 1 (+ (* -1 (/ x (* y (- x 1)))) (/ 1 (* y (- x 1))))) (+ (log (- x 1)) (log (/ 1 y))))
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (log.f64 (+.f64 #s(literal -1 binary64) x))) (log.f64 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)))))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (log.f64 (+.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal -1 binary64) y) (log.f64 y)))
(- (+ 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)))))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (log.f64 (+.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1 binary64) y) (log.f64 y))))
(- 1 (+ (log (+ 1 (* -1 x))) (log (/ -1 y))))
(-.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y))))
(- (+ 1 (* -1 (/ (- (/ 1 (+ 1 (* -1 x))) (/ x (+ 1 (* -1 x)))) y))) (+ (log (+ 1 (* -1 x))) (log (/ -1 y))))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y))))
(- (+ 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))))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 y)))))
(- (+ 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))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y)) (+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))))
(log (+ 1 (/ y (+ 1 (* -1 y)))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(+ (log (+ 1 (/ y (+ 1 (* -1 y))))) (/ x (* (+ 1 (/ y (+ 1 (* -1 y)))) (- y 1))))
(+.f64 (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))))
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(+ 1 (+ (log y) (log (/ 1 (- x 1)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ 1 (+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))))
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))))
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))))
(+ 1 (+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y)))))
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))))
(+ 1 (log (* -1 y)))
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y)))
(+ 1 (+ x (log (* -1 y))))
(+.f64 (log.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) x))
(+ 1 (+ (log (* -1 y)) (* x (+ 1 (* 1/2 x)))))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 (neg.f64 y)))
(+ 1 (+ (log (* -1 y)) (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))))
(+.f64 (log.f64 (neg.f64 y)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (log y) (log (/ 1 x))))
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (log.f64 y))
(+ 1 (+ (log y) (+ (log (/ 1 x)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 y) (log.f64 x))))
(+ 1 (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 y)))
(+ 1 (+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (log.f64 y)))
(+ 1 (+ (log (* -1 y)) (log (/ -1 x))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))))
(+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (/ 1 x))))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 y)))))
(+ 1 (+ (log (* -1 y)) (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))
(+ (log y) (log (/ 1 (- x 1))))
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ (log y) (log (/ 1 (- x 1))))
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ (log y) (log (/ 1 (- x 1))))
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ (log y) (log (/ 1 (- x 1))))
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ (log (/ 1 (- x 1))) (* -1 (log (/ 1 y))))
(-.f64 (log.f64 y) (log.f64 (+.f64 #s(literal -1 binary64) x)))
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))) (neg.f64 (log.f64 (neg.f64 y))))
(+ (log (/ -1 (- x 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x))) (neg.f64 (log.f64 (neg.f64 y))))
(log (* -1 y))
(log.f64 (neg.f64 y))
(+ x (log (* -1 y)))
(+.f64 x (log.f64 (neg.f64 y)))
(+ (log (* -1 y)) (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 (neg.f64 y)))
(+ (log (* -1 y)) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 (neg.f64 y)))
(+ (log y) (log (/ 1 x)))
(-.f64 (log.f64 y) (log.f64 x))
(+ (log y) (+ (log (/ 1 x)) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 y) (log.f64 x)))
(+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(+.f64 (log.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 x))))
(+ (log y) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))
(+.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))
(+ (log (* -1 y)) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 y)))
(+ (log (* -1 y)) (+ (log (/ -1 x)) (/ 1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (log.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(+ (log (* -1 y)) (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 y))))
(+ (log (* -1 y)) (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))))
(-.f64 (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 y))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(/ y (- x 1))
(/.f64 y (+.f64 #s(literal -1 binary64) x))
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* -1 (* x y)))
(neg.f64 (fma.f64 y x y))
(+ (* -1 y) (* x (- (* -1 (* x y)) y)))
(fma.f64 (neg.f64 x) (fma.f64 y x y) (neg.f64 y))
(+ (* -1 y) (* x (- (* x (- (* -1 (* x y)) y)) y)))
(fma.f64 x (fma.f64 (neg.f64 x) (fma.f64 y x y) (neg.f64 y)) (neg.f64 y))
(/ y x)
(/.f64 y x)
(/ (+ y (/ y x)) x)
(/.f64 (+.f64 y (/.f64 y x)) x)
(/ (- (+ y (/ y (pow x 2))) (* -1 (/ y x))) x)
(/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 y x)) x)) x)
(/ (- (+ y (/ y (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ y (pow x 2))))) x)
(/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 y x)) x)) x)) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x))
(/.f64 (+.f64 y (/.f64 y x)) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y x)) x))) x))
(/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 y x)) x)) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y x))) x))) x))) x))
(/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 (+.f64 y (/.f64 y x)) x)) x)) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(/ 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)))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1 (* x y)))
(neg.f64 (fma.f64 y x x))
(+ (* -1 x) (* y (- (* -1 (* x y)) x)))
(fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x))
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))
(fma.f64 y (fma.f64 (neg.f64 y) (fma.f64 y x x) (neg.f64 x)) (neg.f64 x))
(/ x y)
(/.f64 x y)
(/ (+ x (/ x y)) y)
(/.f64 (+.f64 x (/.f64 x y)) y)
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))
(/.f64 (+.f64 x (/.f64 x y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))
(/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)) y)

eval102.0ms (0.9%)

Memory
22.2MiB live, 249.7MiB allocated
Compiler

Compiled 17 734 to 2 376 computations (86.6% saved)

prune339.0ms (3%)

Memory
-195.1MiB live, 239.2MiB allocated
Pruning

27 alts after pruning (16 fresh and 11 done)

PrunedKeptTotal
New7657772
Fresh3912
Picked235
Done088
Total77027797
Accuracy
100.0%
Counts
797 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.0%
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
41.3%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
40.8%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
40.2%
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
59.2%
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
60.1%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
40.9%
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
61.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (neg.f64 x))))
71.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
39.6%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
61.2%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
41.1%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)))
40.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)))
41.7%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
39.0%
(-.f64 #s(literal 1 binary64) y)
23.6%
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))
40.8%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
41.7%
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
20.8%
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
25.8%
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
39.8%
(+.f64 #s(literal 1 binary64) (-.f64 x y))
41.4%
(+.f64 #s(literal 1 binary64) x)
2.8%
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
3.3%
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
3.1%
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
4.3%
(neg.f64 y)
41.1%
#s(literal 1 binary64)
Compiler

Compiled 588 to 303 computations (48.5% saved)

regimes70.0ms (0.6%)

Memory
0.5MiB live, 118.8MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.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 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(-.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 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (neg.f64 x))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64))))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)))
Outputs
(-.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 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y)))
Calls

6 calls:

14.0ms
x
13.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
12.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
10.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
10.0ms
y
Results
AccuracySegmentsBranch
79.2%3x
100.0%3y
100.0%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
100.0%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
100.0%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
100.0%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes57.0ms (0.5%)

Memory
13.0MiB live, 50.0MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.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 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(-.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 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (neg.f64 x))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (/.f64 x (+.f64 y #s(literal -1 binary64))))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (fma.f64 y x (neg.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
Outputs
(-.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 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
Calls

4 calls:

27.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
10.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
9.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
9.0ms
(-.f64 #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)

regimes44.0ms (0.4%)

Memory
16.0MiB live, 53.3MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.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 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
(-.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 (fma.f64 x (/.f64 y (fma.f64 y (neg.f64 x) x)) (neg.f64 x))))
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:

17.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
9.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
8.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
7.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
99.8%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
99.8%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
99.8%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
99.8%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes45.0ms (0.4%)

Memory
-32.7MiB live, 88.7MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.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 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 x)))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #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

5 calls:

10.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
10.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
8.0ms
y
8.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
7.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
98.6%3y
98.8%3(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
98.8%3(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
98.8%3(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
98.8%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes44.0ms (0.4%)

Memory
5.2MiB live, 79.0MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.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 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
Calls

5 calls:

9.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
8.0ms
y
8.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
7.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
7.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
98.4%3y
98.6%3(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
98.6%3(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
98.6%3(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
98.6%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes42.0ms (0.4%)

Memory
-1.1MiB live, 81.3MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
Outputs
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
Calls

5 calls:

11.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
7.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
7.0ms
y
7.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
6.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
98.4%3y
89.7%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
89.7%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
89.7%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
89.7%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes8.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
Outputs
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
91.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
Outputs
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
91.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory
-12.0MiB live, 66.0MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 y))))
Outputs
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
Calls

5 calls:

8.0ms
y
6.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
6.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
6.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
5.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
82.0%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
82.0%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
82.0%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
82.0%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
82.0%2y
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes31.0ms (0.3%)

Memory
3.0MiB live, 57.2MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 (+.f64 x (log.f64 (neg.f64 y))) #s(literal 1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
Calls

5 calls:

8.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
6.0ms
y
6.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
5.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
5.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
81.3%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
81.3%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
81.3%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
81.3%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
81.0%2y
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes26.0ms (0.2%)

Memory
-26.3MiB live, 51.8MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
Calls

5 calls:

6.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
6.0ms
y
5.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
4.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
4.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
63.4%3y
80.8%3(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
80.8%3(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
80.8%3(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
80.8%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes45.0ms (0.4%)

Memory
10.3MiB live, 48.9MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
Calls

6 calls:

21.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
5.0ms
x
5.0ms
y
4.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
61.7%2y
43.7%2x
61.7%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
61.7%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
61.7%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
61.7%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes37.0ms (0.3%)

Memory
-2.1MiB live, 39.6MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
Outputs
(+.f64 #s(literal 1 binary64) x)
Calls

6 calls:

15.0ms
y
5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
4.0ms
x
4.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
4.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
41.4%1x
41.4%1y
41.4%1(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
41.4%1(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
41.4%1(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
41.4%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes9.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Accuracy

Total -24.1b remaining (-64.1%)

Threshold costs -24.1b (-64.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
Outputs
#s(literal 1 binary64)
Calls

6 calls:

1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
1.0ms
x
1.0ms
y
1.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
1.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
41.1%1(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
41.1%1(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
41.1%1y
41.1%1x
41.1%1(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
41.1%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 52 to 34 computations (34.6% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3140481837837782
0.9432075978440484
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3140481837837782
0.9432075978440484
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999989959382328
0.9999999999584929
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3140481837837782
0.9432075978440484
0.0ms
-1802889.4351084242
-4097.503073583969
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch1.0ms (0%)

Memory
-37.9MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3140481837837782
0.9432075978440484
1.0ms
-1802889.4351084242
-4097.503073583969
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch92.0ms (0.8%)

Memory
31.8MiB live, 148.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
68.0ms
8.130036392227263e-5
132.11080772104012
15.0ms
-995953.6639954146
-0.45782834356514884
Samples
40.0ms627×0invalid
18.0ms288×0valid
Compiler

Compiled 395 to 320 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sub: 16.0ms (47.4% of total)
ival-div: 9.0ms (26.7% of total)
ival-log: 7.0ms (20.7% of total)
ival-true: 1.0ms (3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch110.0ms (1%)

Memory
-9.0MiB live, 185.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
80.0ms
8.130036392227263e-5
132.11080772104012
17.0ms
-995953.6639954146
-0.45782834356514884
Samples
49.0ms810×0invalid
21.0ms288×0valid
Compiler

Compiled 350 to 284 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-sub: 23.0ms (54.1% of total)
ival-log: 10.0ms (23.5% of total)
ival-div: 8.0ms (18.8% of total)
ival-true: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)

bsearch160.0ms (1.4%)

Memory
10.9MiB live, 135.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
134.0ms
8.130036392227263e-5
132.11080772104012
15.0ms
-995953.6639954146
-0.45782834356514884
Samples
100.0ms862×0invalid
20.0ms288×0valid
Compiler

Compiled 350 to 284 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sub: 22.0ms (45.9% of total)
ival-log: 16.0ms (33.4% of total)
ival-div: 9.0ms (18.8% of total)
ival-true: 1.0ms (2.1% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
-15.0MiB live, 23.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-995953.6639954146
-0.45782834356514884
Samples
9.0ms144×0valid
1.0ms18×0invalid
Compiler

Compiled 179 to 149 computations (16.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (48.8% of total)
ival-log: 2.0ms (32.5% of total)
ival-div: 1.0ms (16.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3140481837837782
0.9432075978440484
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3140481837837782
0.9432075978440484
0.0ms
-6.113554322517521
-0.008214981310229874
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3140481837837782
0.9432075978440484
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify15.0ms (0.1%)

Memory
-9.7MiB live, 28.5MiB allocated
Algorithm
egg-herbie
Rules
60×+-commutative_binary64
40×sub-neg_binary64
18×*-commutative_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084363
1122363
2151363
3167363
4174363
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 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 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9007190247541737/9007199254740992 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 -1000000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #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 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1000000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (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 -7/4 binary64)) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (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 -4278419646001971/281474976710656 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))))
(if (<=.f64 y #s(literal -25 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -23/2 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x)) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 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 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 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 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 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 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9007190247541737/9007199254740992 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 9007190247541737/9007199254740992 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 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1000000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #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 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1000000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 (neg.f64 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 -1000000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 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 -1000000 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -7/4 binary64)) (+.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (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 -7/4 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -4278419646001971/281474976710656 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))))
(if (<=.f64 y #s(literal -4278419646001971/281474976710656 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))))
(if (<=.f64 y #s(literal -25 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -25 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))))
(if (<=.f64 y #s(literal -23/2 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))))
(if (<=.f64 y #s(literal -23/2 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 (-.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (+.f64 (-.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.1s (9.4%)

Memory
15.8MiB live, 1 001.5MiB allocated
Rules
8 356×accelerator-lowering-fma.f32
8 356×accelerator-lowering-fma.f64
6 956×accelerator-lowering-fma.f32
6 956×accelerator-lowering-fma.f64
6 808×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06565045
121054150
269464045
081083843
05923755
118293308
258012888
088852753
029150
1228150
22227150
08981135
04392658
114202052
249431821
086721728
05483738
116583295
253392883
094922761
0941
17141
265641
0870737
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 794 to 425 computations (46.5% saved)

preprocess119.0ms (1%)

Memory
10.2MiB live, 163.1MiB allocated
Compiler

Compiled 882 to 232 computations (73.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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