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

Time bar (total: 11.5s)

analyze205.0ms (1.8%)

Memory
16.0MiB live, 210.6MiB 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)

sample1.7s (14.8%)

Memory
-5.1MiB live, 2 459.2MiB allocated
Samples
482.0ms5 982×0valid
428.0ms2 274×1valid
168.0ms1 101×1invalid
156.0ms1 644×0invalid
Precisions
Click to see histograms. Total time spent on operations: 884.0ms
ival-sub: 359.0ms (40.6% of total)
ival-log: 258.0ms (29.2% of total)
ival-div: 146.0ms (16.5% of total)
adjust: 99.0ms (11.2% of total)
exact: 8.0ms (0.9% of total)
ival-true: 8.0ms (0.9% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

preprocess98.0ms (0.9%)

Memory
24.1MiB live, 106.0MiB 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)))))

explain396.0ms (3.4%)

Memory
6.2MiB live, 401.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1140-0-(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
670-0-(-.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))))sensitivity1140
-.f64(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))cancellation670
Confusion
Predicted +Predicted -
+670
-11475
Precision
0.3701657458563536
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6700
-114075
Precision?
0.3701657458563536
Recall?
1.0
Freqs
test
numberfreq
075
1181
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
281.0ms330×1valid
13.0ms156×0valid
10.0ms26×2valid
Compiler

Compiled 126 to 40 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 282.0ms
ival-log: 245.0ms (87% of total)
ival-sub: 17.0ms (6% of total)
adjust: 10.0ms (3.5% of total)
ival-div: 8.0ms (2.8% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify37.0ms (0.3%)

Memory
-8.6MiB live, 36.5MiB 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)

localize73.0ms (0.6%)

Memory
-4.4MiB live, 149.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
accuracy75.3%
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
accuracy58.5%
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Samples
42.0ms165×1valid
6.0ms78×0valid
5.0ms13×2valid
Compiler

Compiled 49 to 11 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-log: 20.0ms (51.9% of total)
ival-sub: 10.0ms (26% of total)
adjust: 5.0ms (13% of total)
ival-div: 3.0ms (7.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
13.0MiB live, 48.8MiB allocated
Counts
4 → 96
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))>
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)))>
Calls

24 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
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
x
@-inf
(log (- 1 (/ (- x y) (- 1 y))))

rewrite270.0ms (2.4%)

Memory
-16.1MiB live, 610.6MiB 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
0938
17138
265638
0870734
Stop Event
iter limit
node limit
Counts
4 → 261
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))
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 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.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 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.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)))

simplify725.0ms (6.3%)

Memory
-27.8MiB live, 528.0MiB allocated
Algorithm
egg-herbie
Rules
6 656×accelerator-lowering-fma.f32
6 656×accelerator-lowering-fma.f64
3 954×+-lowering-+.f64
3 954×+-lowering-+.f32
2 636×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04322626
114042020
248901789
085581696
Stop Event
iter limit
node limit
Counts
96 → 96
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)))
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))))))
(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 #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 #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 (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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(- (+ 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 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))) (log1p.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))
(+ 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) (fma.f64 y x (neg.f64 y)) x))
(- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)
(fma.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x (neg.f64 y)) x)) (-.f64 #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 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) 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 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (/.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 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(fma.f64 x (/.f64 y (*.f64 x (+.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))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(fma.f64 x (/.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (/.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) (fma.f64 y x (neg.f64 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) (fma.f64 y x (neg.f64 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 x (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.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))

eval143.0ms (1.2%)

Memory
3.6MiB live, 118.6MiB allocated
Compiler

Compiled 11 114 to 1 532 computations (86.2% saved)

prune103.0ms (0.9%)

Memory
18.7MiB live, 98.0MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3489357
Fresh000
Picked101
Done000
Total3499358
Accuracy
100.0%
Counts
358 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.3%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
46.5%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
67.1%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
36.0%
(-.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)))
35.2%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
36.7%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
40.7%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
2.5%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
53.8%
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.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 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.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))))))
Compiler

Compiled 286 to 172 computations (39.9% saved)

simplify655.0ms (5.7%)

Memory
-10.7MiB live, 590.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.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)
cost-diff0
(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))
cost-diff0
(-.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)))
cost-diff64
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y) (+.f64 #s(literal -1 binary64) x))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 y (-.f64 #s(literal 1 binary64) y))
cost-diff0
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
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
(log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
cost-diff192
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(log1p.f64 (neg.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
Rules
12 818×accelerator-lowering-fma.f32
12 818×accelerator-lowering-fma.f64
2 782×+-lowering-+.f64
2 782×+-lowering-+.f32
2 326×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030185
156185
292185
3127185
4169185
5251185
6461185
71266185
84115185
97026177
08215171
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- 1 (log (+ 1 (neg x))))
1
(log (+ 1 (neg x)))
(neg x)
x
(- 1 (log (- 1 1)))
1
(log (- 1 1))
(- 1 1)
(- 1 (log (/ x (+ y -1))))
1
(log (/ x (+ y -1)))
(/ x (+ y -1))
x
(+ y -1)
y
-1
(- 1 (log (+ 1 (/ y (- 1 y)))))
1
(log (+ 1 (/ y (- 1 y))))
(/ y (- 1 y))
y
(- 1 y)
(- 1 (log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)))
1
(log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y))
(/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)
(+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x))
(/ (+ -1 (+ x (/ (+ -1 x) y))) y)
(+ -1 (+ x (/ (+ -1 x) y)))
-1
(+ x (/ (+ -1 x) y))
x
(/ (+ -1 x) y)
(+ -1 x)
y
Outputs
(- 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 (log (- 1 1)))
(-.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(log (- 1 1))
(log.f64 #s(literal 0 binary64))
(- 1 1)
#s(literal 0 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)
(- 1 (log (+ 1 (/ y (- 1 y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
1
#s(literal 1 binary64)
(log (+ 1 (/ y (- 1 y))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ y (- 1 y))
(/.f64 y (-.f64 #s(literal 1 binary64) y))
y
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 (log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) y)))
1
#s(literal 1 binary64)
(log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y))
(log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) y))
(/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) y)
(+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(/ (+ -1 (+ x (/ (+ -1 x) y))) y)
(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)
(+ -1 (+ x (/ (+ -1 x) y)))
(+.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
-1
#s(literal -1 binary64)
(+ x (/ (+ -1 x) y))
(-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
x
(/ (+ -1 x) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+ -1 x)
(+.f64 x #s(literal -1 binary64))
y

localize94.0ms (0.8%)

Memory
32.8MiB live, 267.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))
accuracy100.0%
(+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
accuracy100.0%
(+.f64 #s(literal -1 binary64) x)
accuracy100.0%
(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))
accuracy100.0%
(/.f64 y (-.f64 #s(literal 1 binary64) y))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
accuracy100.0%
(/.f64 x (+.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 y #s(literal -1 binary64))
accuracy100.0%
(log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(log.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(log1p.f64 (neg.f64 x))
Samples
59.0ms256×0invalid
Compiler

Compiled 187 to 29 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 15.0ms (35.8% of total)
ival-sub: 8.0ms (19.1% of total)
ival-add: 7.0ms (16.7% of total)
ival-log: 6.0ms (14.3% of total)
ival-log1p: 4.0ms (9.5% of total)
ival-neg: 2.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series231.0ms (2%)

Memory
-24.7MiB live, 180.9MiB allocated
Counts
21 → 324
Calls
Call 1
Inputs
#<alt (- 1 (log (+ 1 (neg x))))>
#<alt (log (+ 1 (neg x)))>
#<alt (neg x)>
#<alt (- 1 1)>
#<alt (- 1 (log (- 1 1)))>
#<alt (log (- 1 1))>
#<alt (- 1 (log (/ x (+ y -1))))>
#<alt (log (/ x (+ y -1)))>
#<alt (/ x (+ y -1))>
#<alt (+ y -1)>
#<alt (- 1 (log (+ 1 (/ y (- 1 y)))))>
#<alt (log (+ 1 (/ y (- 1 y))))>
#<alt (/ y (- 1 y))>
#<alt (- 1 y)>
#<alt (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x))>
#<alt (- 1 (log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)))>
#<alt (log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y))>
#<alt (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)>
#<alt (+ -1 x)>
#<alt (+ -1 (+ x (/ (+ -1 x) y)))>
#<alt (+ x (/ (+ -1 x) y))>
Outputs
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))>
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))>
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))>
#<alt (- 1 (+ (log x) (log (/ 1 (- y 1)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x)))))>
#<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 (- (* y (- (* -1/3 y) 1/2)) 1))) (log (* -1 x)))>
#<alt (- 1 (+ (log x) (log (/ 1 y))))>
#<alt (- 1 (+ (log x) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log x) (log (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log x) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (+ (log (* -1 x)) (log (/ -1 y))))>
#<alt (+ (log x) (log (/ 1 (- y 1))))>
#<alt (+ (log x) (log (/ 1 (- y 1))))>
#<alt (+ (log x) (log (/ 1 (- y 1))))>
#<alt (+ (log x) (log (/ 1 (- y 1))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (- y 1))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (- y 1))) (* -1 (log (/ -1 x))))>
#<alt (log (* -1 x))>
#<alt (+ y (log (* -1 x)))>
#<alt (+ (log (* -1 x)) (* y (+ 1 (* 1/2 y))))>
#<alt (+ (log (* -1 x)) (* y (+ 1 (* y (+ 1/2 (* 1/3 y))))))>
#<alt (+ (log x) (log (/ 1 y)))>
#<alt (+ (log x) (+ (log (/ 1 y)) (/ 1 y)))>
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))>
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))>
#<alt (+ (log (* -1 x)) (log (/ -1 y)))>
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (/ 1 y)))>
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))>
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y))))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (/ x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* x y)))>
#<alt (+ (* -1 x) (* y (- (* -1 (* x y)) x)))>
#<alt (+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))>
#<alt (/ x y)>
#<alt (/ (+ x (/ x y)) y)>
#<alt (/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)>
#<alt (/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1)))>
#<alt (- 1 (+ (log -1) (log (/ 1 y))))>
#<alt (- 1 (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (log (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- 1 (log (/ -1 y)))>
#<alt (- 1 (+ (log (/ -1 y)) (/ 1 y)))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (log (/ -1 y)))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (log (/ -1 y)))>
#<alt y>
#<alt (* y (+ 1 (* 1/2 y)))>
#<alt (* y (+ 1 (* y (+ 1/2 (* 1/3 y)))))>
#<alt (* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y)))))))>
#<alt (+ (log -1) (log (/ 1 y)))>
#<alt (+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))>
#<alt (+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))>
#<alt (+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))>
#<alt (log (/ -1 y))>
#<alt (+ (log (/ -1 y)) (/ 1 y))>
#<alt (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))>
#<alt (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y)))>
#<alt y>
#<alt (* y (+ 1 y))>
#<alt (* y (+ 1 (* y (+ 1 y))))>
#<alt (* y (+ 1 (* y (+ 1 (* y (+ 1 y))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 y)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 y)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1)>
#<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 (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))>
#<alt (* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))>
#<alt (* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))>
#<alt (/ (- x 1) (pow y 2))>
#<alt (/ (- (+ x (* y (- x 1))) 1) (pow y 2))>
#<alt (/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 2))>
#<alt (/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 2))>
#<alt (- x 1)>
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))>
#<alt (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (- x 1)>
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1)>
#<alt (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1)>
#<alt (- 1 (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))))>
#<alt (- (+ 1 (/ (* x (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))) (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))))>
#<alt (- (+ 1 (* x (- (* 1/2 (/ (* x (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))) (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))))) (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))))>
#<alt (- (+ 1 (* x (- (* x (- (* 1/3 (/ (* x (* (pow y 3) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 3))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 3))) (* -1/2 (/ (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2)) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))))) (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))))) (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))))>
#<alt (- 1 (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (+ (log (- x 1)) (* -3 (log y))))>
#<alt (- (+ 1 (* -1 y)) (+ (log (- x 1)) (* -3 (log y))))>
#<alt (- (+ 1 (* y (- (* -1/2 y) 1))) (+ (log (- x 1)) (* -3 (log y))))>
#<alt (- (+ 1 (* y (- (* y (- (* 2/3 y) 1/2)) 1))) (+ (log (- x 1)) (* -3 (log y))))>
#<alt (- 1 (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- 1 (+ (log (- x 1)) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (- x 1)) (log (/ 1 y))))>
#<alt (- (+ 1 (* 2/3 (/ 1 (pow y 3)))) (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))))>
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- 1 (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (* 2/3 (/ 1 y)) 1/2) y))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)))>
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (/ (* x (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))>
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* x (+ (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))) (* -1/2 (/ (* x (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))))))>
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* x (+ (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))) (* x (+ (* -1/2 (/ (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2)) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))) (* -1/3 (/ (* x (* (pow y 3) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 3))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 3))))))))>
#<alt (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))) (/ 1 x))>
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))))>
#<alt (+ (log (- x 1)) (* -3 (log y)))>
#<alt (+ y (+ (log (- x 1)) (* -3 (log y))))>
#<alt (+ (log (- x 1)) (+ (* -3 (log y)) (* y (+ 1 (* 1/2 y)))))>
#<alt (+ (log (- x 1)) (+ (* -3 (log y)) (* y (+ 1 (* y (+ 1/2 (* -2/3 y)))))))>
#<alt (+ (log (- x 1)) (log (/ 1 y)))>
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (/ 1 y)))>
#<alt (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))>
#<alt (- (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) (* 2/3 (/ 1 (pow y 3))))>
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (/ 1 y)))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 y))) y)) 1) y))))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))>
#<alt (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))>
#<alt (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))>
#<alt (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))>
#<alt (/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)>
#<alt (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))>
#<alt (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))>
#<alt (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))>
#<alt (/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))>
#<alt (/ (- x 1) (pow y 3))>
#<alt (/ (- (+ x (* y (- x 1))) 1) (pow y 3))>
#<alt (/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3))>
#<alt (/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y)>
#<alt (/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)>
#<alt (/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)>
#<alt (/ (- x 1) y)>
#<alt (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))>
#<alt (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) 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 (+ 1 (/ 1 y)))>
#<alt (- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))>
#<alt (- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))>
#<alt (- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))>
#<alt (* x (+ 1 (/ 1 y)))>
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* x (+ 1 (/ 1 y)))>
#<alt (* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))>
#<alt (* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))>
#<alt (* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x (* y (- x 1))) 1) y)>
#<alt (/ (- (+ x (* y (- x 1))) 1) y)>
#<alt (/ (- (+ x (* y (- x 1))) 1) y)>
#<alt (- x 1)>
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))>
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))>
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))>
#<alt (- x 1)>
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))>
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))>
#<alt (- (+ x (/ x y)) (+ 1 (/ 1 y)))>
#<alt (/ -1 y)>
#<alt (- (* x (+ 1 (/ 1 y))) (/ 1 y))>
#<alt (- (* x (+ 1 (/ 1 y))) (/ 1 y))>
#<alt (- (* x (+ 1 (/ 1 y))) (/ 1 y))>
#<alt (* x (+ 1 (/ 1 y)))>
#<alt (* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 y)))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x (* x y)) 1) y)>
#<alt (/ (- (+ x (* x y)) 1) y)>
#<alt (/ (- (+ x (* x y)) 1) y)>
#<alt x>
#<alt (- (+ x (/ x y)) (/ 1 y))>
#<alt (- (+ x (/ x y)) (/ 1 y))>
#<alt (- (+ x (/ x y)) (/ 1 y))>
#<alt x>
#<alt (- (+ x (/ x y)) (/ 1 y))>
#<alt (- (+ x (/ x y)) (/ 1 y))>
#<alt (- (+ x (/ x y)) (/ 1 y))>
Calls

81 calls:

TimeVariablePointExpression
173.0ms
x
@0
(- 1 (log (/ x (+ y -1))))
25.0ms
x
@-inf
(- 1 (log (/ x (+ y -1))))
7.0ms
x
@inf
(- 1 (log (/ x (+ y -1))))
3.0ms
x
@0
(/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)
2.0ms
x
@0
(log (+ 1 (neg x)))

rewrite400.0ms (3.5%)

Memory
4.4MiB live, 798.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 412×/-lowering-/.f32
4 412×/-lowering-/.f64
4 228×accelerator-lowering-fma.f32
4 228×accelerator-lowering-fma.f64
3 312×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030156
1225156
22251156
08652150
Stop Event
iter limit
node limit
Counts
21 → 633
Calls
Call 1
Inputs
(- 1 (log (+ 1 (neg x))))
(log (+ 1 (neg x)))
(neg x)
(- 1 1)
(- 1 (log (- 1 1)))
(log (- 1 1))
(- 1 (log (/ x (+ y -1))))
(log (/ x (+ y -1)))
(/ x (+ y -1))
(+ y -1)
(- 1 (log (+ 1 (/ y (- 1 y)))))
(log (+ 1 (/ y (- 1 y))))
(/ y (- 1 y))
(- 1 y)
(+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x))
(- 1 (log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)))
(log (/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y))
(/ (+ (/ (+ -1 (+ x (/ (+ -1 x) y))) y) (+ -1 x)) y)
(+ -1 x)
(+ -1 (+ x (/ (+ -1 x) y)))
(+ x (/ (+ -1 x) y))
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x))))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log1p.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (log1p.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log1p.f64 (neg.f64 x))
(*.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(neg.f64 (*.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64))))
(+.f64 (neg.f64 (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64))))))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))))
(log.f64 #s(literal 0 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))
(*.f64 (log.f64 #s(literal 0 binary64)) #s(literal 1 binary64))
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(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) y) x)
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) y) x)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) y))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) y)))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)))
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(pow.f64 (/.f64 (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)))))
(*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))

simplify392.0ms (3.4%)

Memory
-1.8MiB live, 752.4MiB allocated
Algorithm
egg-herbie
Rules
8 190×accelerator-lowering-fma.f32
8 190×accelerator-lowering-fma.f64
4 720×+-lowering-+.f64
4 720×+-lowering-+.f32
4 444×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04854444
115034159
246124043
086023934
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
1
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(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(- 1 (+ (log -1) (* -1 (log (/ 1 x)))))
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(+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* x (+ (* -1 (/ (* y (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))) (* x (+ (* -1/2 (/ (* (pow y 2) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 2)) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 2))) (* -1/3 (/ (* x (* (pow y 3) (pow (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))) 3))) (pow (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) 3))))))))
(+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x))))
(- (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x))))
(- (+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (* -1 (log (/ -1 x)))) (/ 1 x))
(+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(+ (log (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))))
(+ (log (- x 1)) (* -3 (log y)))
(+ y (+ (log (- x 1)) (* -3 (log y))))
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(+ (log (- x 1)) (+ (* -3 (log y)) (* y (+ 1 (* y (+ 1/2 (* -2/3 y)))))))
(+ (log (- x 1)) (log (/ 1 y)))
(+ (log (- x 1)) (+ (log (/ 1 y)) (/ 1 y)))
(+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))
(- (+ (log (- x 1)) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))) (* 2/3 (/ 1 (pow y 3))))
(+ (log (* -1 (- x 1))) (log (/ -1 y)))
(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (/ 1 y)))
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(+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 y))) y)) 1) y))))
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(+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))
(/ (- x 1) (pow y 3))
(/ (- (+ x (* y (- x 1))) 1) (pow y 3))
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3))
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3))
(/ (- x 1) y)
(/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y)
(/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)
(/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)
(/ (- x 1) y)
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) y))
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) y))
-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)))
(* -1 (+ 1 (/ 1 y)))
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))
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(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* x (+ 1 (/ 1 y)))
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))
(/ (- x 1) y)
(/ (- (+ x (* y (- x 1))) 1) y)
(/ (- (+ x (* y (- x 1))) 1) y)
(/ (- (+ x (* y (- x 1))) 1) y)
(- x 1)
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(- x 1)
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(/ -1 y)
(- (* x (+ 1 (/ 1 y))) (/ 1 y))
(- (* x (+ 1 (/ 1 y))) (/ 1 y))
(- (* x (+ 1 (/ 1 y))) (/ 1 y))
(* x (+ 1 (/ 1 y)))
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))
(* x (+ 1 (/ 1 y)))
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))
(/ (- x 1) y)
(/ (- (+ x (* x y)) 1) y)
(/ (- (+ x (* x y)) 1) y)
(/ (- (+ x (* x y)) 1) y)
x
(- (+ x (/ x y)) (/ 1 y))
(- (+ x (/ x y)) (/ 1 y))
(- (+ x (/ x y)) (/ 1 y))
x
(- (+ x (/ x y)) (/ 1 y))
(- (+ x (/ x y)) (/ 1 y))
(- (+ x (/ x y)) (/ 1 y))
Outputs
1
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
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(* -1 x)
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(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y))
(+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (* x (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y))
(/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)
(/.f64 (+.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x y))) y)
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 x y))))
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 x y))))
(* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 x y))))
(/ (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)
(/.f64 (+.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x y))) y)
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y y)))))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y y)))))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3))))))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y y)))))))
(/ (- x 1) (pow y 3))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (*.f64 y y)))
(/ (- (+ x (* y (- x 1))) 1) (pow y 3))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) (*.f64 y (*.f64 y y)))
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3))
(/.f64 (fma.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 y (*.f64 y y)))
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 3))
(/.f64 (fma.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 y (*.f64 y y)))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y)
(/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)
(/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 x (/.f64 x y)) y) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y)
(/ (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 x (/.f64 x y)) y) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))
(/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))) y)
(* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (+ 1 (/ 1 y)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (* x (+ 1 (/ 1 y))) (+ 1 (/ 1 y)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (+ 1 (/ 1 y)))
(+.f64 x (/.f64 x y))
(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 x y))
(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 x y))
(* x (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 x y))
(* x (+ 1 (/ 1 y)))
(+.f64 x (/.f64 x y))
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))
(+.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y))))
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))
(+.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y))))
(* -1 (* x (- (+ (/ 1 x) (/ 1 (* x y))) (+ 1 (/ 1 y)))))
(+.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y))))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x (* y (- x 1))) 1) y)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) y)
(/ (- (+ x (* y (- x 1))) 1) y)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) y)
(/ (- (+ x (* y (- x 1))) 1) y)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) y)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* x (+ 1 (/ 1 y))) (/ 1 y))
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (* x (+ 1 (/ 1 y))) (/ 1 y))
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (* x (+ 1 (/ 1 y))) (/ 1 y))
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (+ 1 (/ 1 y)))
(+.f64 x (/.f64 x y))
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y)))
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y)))
(* x (- (+ 1 (/ 1 y)) (/ 1 (* x y))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y)))
(* x (+ 1 (/ 1 y)))
(+.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y)))
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y)))
(* -1 (* x (- (/ 1 (* x y)) (+ 1 (/ 1 y)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)) (+.f64 x (/.f64 x y)))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x (* x y)) 1) y)
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x y x)) y)
(/ (- (+ x (* x y)) 1) y)
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x y x)) y)
(/ (- (+ x (* x y)) 1) y)
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x y x)) y)
x
(- (+ x (/ x y)) (/ 1 y))
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ x (/ x y)) (/ 1 y))
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ x (/ x y)) (/ 1 y))
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
x
(- (+ x (/ x y)) (/ 1 y))
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ x (/ x y)) (/ 1 y))
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ x (/ x y)) (/ 1 y))
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))

eval125.0ms (1.1%)

Memory
18.5MiB live, 282.3MiB allocated
Compiler

Compiled 25 358 to 3 631 computations (85.7% saved)

prune129.0ms (1.1%)

Memory
-5.4MiB live, 321.7MiB allocated
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New97318991
Fresh314
Picked235
Done000
Total978221 000
Accuracy
100.0%
Counts
1 000 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
45.4%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
48.2%
(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))
47.6%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
65.3%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
45.3%
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
19.9%
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
47.6%
(-.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))))
48.2%
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
57.1%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
20.7%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
46.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
46.5%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
67.1%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
45.4%
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
40.7%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
21.9%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
24.3%
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
46.3%
(-.f64 #s(literal 1 binary64) y)
19.1%
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))))
48.6%
(+.f64 #s(literal 1 binary64) x)
48.5%
#s(literal 1 binary64)
Compiler

Compiled 407 to 307 computations (24.6% saved)

simplify577.0ms (5%)

Memory
-5.9MiB live, 356.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(log.f64 (neg.f64 y))
cost-diff0
(neg.f64 (log.f64 (neg.f64 y)))
cost-diff128
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
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
(fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64))
cost-diff0
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
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)))
Rules
10 440×accelerator-lowering-fma.f32
10 440×accelerator-lowering-fma.f64
1 912×*-lowering-*.f32
1 912×*-lowering-*.f64
1 656×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028121
182120
2227120
3532120
41844120
54230120
65133120
75572120
85702120
95737120
105743120
115867120
125945120
135945120
145945120
156609120
166746120
176746120
186746120
06746102
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (- 1 y) (log (+ 1 (neg x))))
(- 1 y)
1
y
(log (+ 1 (neg x)))
(neg x)
x
1
(+ (* y (+ (* -1/2 y) -1)) 1)
y
(+ (* -1/2 y) -1)
-1/2
-1
1
(- 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 (neg (log (neg y))))
1
(neg (log (neg y)))
(log (neg y))
(neg y)
y
Outputs
(- (- 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
#s(literal 1 binary64)
(+ (* y (+ (* -1/2 y) -1)) 1)
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
y
(+ (* -1/2 y) -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)
(- 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 (neg (log (neg y))))
(+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y)))
1
#s(literal 1 binary64)
(neg (log (neg y)))
(neg.f64 (log.f64 (neg.f64 y)))
(log (neg y))
(log.f64 (neg.f64 y))
(neg y)
(neg.f64 y)
y

localize88.0ms (0.8%)

Memory
9.0MiB live, 119.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 (log.f64 (neg.f64 y)))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(log.f64 (neg.f64 y))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
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%
(*.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%
(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%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64))
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))
Samples
29.0ms154×0valid
26.0ms102×0invalid
Compiler

Compiled 106 to 29 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 13.0ms (32.4% of total)
ival-mult: 9.0ms (22.4% of total)
ival-sub: 5.0ms (12.5% of total)
const: 4.0ms (10% of total)
ival-log: 3.0ms (7.5% of total)
ival-neg: 3.0ms (7.5% of total)
ival-log1p: 2.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series84.0ms (0.7%)

Memory
-3.5MiB live, 74.8MiB allocated
Counts
15 → 192
Calls
Call 1
Inputs
#<alt (- (- 1 y) (log (+ 1 (neg x))))>
#<alt (- 1 y)>
#<alt (log (+ 1 (neg x)))>
#<alt (neg x)>
#<alt (+ (* y (+ (* -1/2 y) -1)) 1)>
#<alt (+ (* -1/2 y) -1)>
#<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 (neg (log (neg y))))>
#<alt (neg (log (neg y)))>
#<alt (log (neg y))>
#<alt (neg y)>
#<alt (+ (* x -1/4) -1/3)>
Outputs
#<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 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1>
#<alt (+ 1 (* -1 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>
#<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>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt -1/2>
#<alt (- (* -1/3 x) 1/2)>
#<alt (- (* x (- (* -1/4 x) 1/3)) 1/2)>
#<alt (- (* x (- (* -1/4 x) 1/3)) 1/2)>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (+ 1 (+ (log -1) (log y)))>
#<alt (+ 1 (+ (log -1) (log y)))>
#<alt (+ 1 (+ (log -1) (log y)))>
#<alt (+ 1 (+ (log -1) (log y)))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))>
#<alt (+ 1 (* -1 (log (/ -1 y))))>
#<alt (+ 1 (* -1 (log (/ -1 y))))>
#<alt (+ 1 (* -1 (log (/ -1 y))))>
#<alt (+ 1 (* -1 (log (/ -1 y))))>
#<alt (* -1 (+ (log -1) (log y)))>
#<alt (* -1 (+ (log -1) (log y)))>
#<alt (* -1 (+ (log -1) (log y)))>
#<alt (* -1 (+ (log -1) (log y)))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 y)))))>
#<alt (log (/ -1 y))>
#<alt (log (/ -1 y))>
#<alt (log (/ -1 y))>
#<alt (log (/ -1 y))>
#<alt (+ (log -1) (log y))>
#<alt (+ (log -1) (log y))>
#<alt (+ (log -1) (log y))>
#<alt (+ (log -1) (log y))>
#<alt (+ (log -1) (* -1 (log (/ 1 y))))>
#<alt (+ (log -1) (* -1 (log (/ 1 y))))>
#<alt (+ (log -1) (* -1 (log (/ 1 y))))>
#<alt (+ (log -1) (* -1 (log (/ 1 y))))>
#<alt (* -1 (log (/ -1 y)))>
#<alt (* -1 (log (/ -1 y)))>
#<alt (* -1 (log (/ -1 y)))>
#<alt (* -1 (log (/ -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 y)>
#<alt -1/3>
#<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

48 calls:

TimeVariablePointExpression
36.0ms
y
@0
(- 1 (neg (log (neg y))))
12.0ms
y
@-inf
(- 1 (neg (log (neg y))))
8.0ms
y
@inf
(- 1 (neg (log (neg y))))
3.0ms
y
@0
(- (- 1 y) (log (+ 1 (neg x))))
0.0ms
x
@-inf
(- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)))

rewrite369.0ms (3.2%)

Memory
38.4MiB live, 514.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 878×accelerator-lowering-fma.f32
4 878×accelerator-lowering-fma.f64
3 944×/-lowering-/.f32
3 944×/-lowering-/.f64
3 666×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028105
1199104
21805104
0840687
Stop Event
iter limit
node limit
Counts
15 → 534
Calls
Call 1
Inputs
(- (- 1 y) (log (+ 1 (neg x))))
(- 1 y)
(log (+ 1 (neg x)))
(neg x)
(+ (* y (+ (* -1/2 y) -1)) 1)
(+ (* -1/2 y) -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 (+ (* x -1/4) -1/3)) -1/2)) -1)
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(- 1 (neg (log (neg y))))
(neg (log (neg y)))
(log (neg y))
(neg y)
(+ (* x -1/4) -1/3)
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (log1p.f64 (neg.f64 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (-.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))) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))))))
(-.f64 #s(literal 1 binary64) (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 y (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 y (log1p.f64 (neg.f64 x))))))) (/.f64 (pow.f64 (+.f64 y (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 y (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 y (log1p.f64 (neg.f64 x))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 y (log1p.f64 (neg.f64 x))))) (/.f64 (pow.f64 (+.f64 y (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y (log1p.f64 (neg.f64 x))))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))
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(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (log.f64 (+.f64 #s(literal 0 binary64) y)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 y))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (neg.f64 y)))))))
(*.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 y))))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y)))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y)))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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))) (neg.f64 (/.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))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #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 (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 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))) (/.f64 #s(literal 1 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 x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 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 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))

simplify343.0ms (3%)

Memory
-15.1MiB live, 538.9MiB allocated
Algorithm
egg-herbie
Rules
9 114×accelerator-lowering-fma.f32
9 114×accelerator-lowering-fma.f64
3 564×*-lowering-*.f32
3 564×*-lowering-*.f64
3 046×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051368
16221320
218841297
362711274
082201195
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(- 1 (log (- 1 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))
(* y (- (/ 1 y) (+ 1 (/ (log (- 1 x)) y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 (log (- 1 x))) y)))))
(- 1 y)
(- (+ 1 x) y)
(- (+ 1 (* x (+ 1 (* 1/2 x)))) y)
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))) y)
(- 1 (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(- (+ 1 (/ 1 x)) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ y (+ (log -1) (* -1 (log (/ 1 x))))))
(- 1 (+ y (* -1 (log (/ -1 x)))))
(- (+ 1 (/ 1 x)) (+ y (* -1 (log (/ -1 x)))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ y (* -1 (log (/ -1 x)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (+ y (* -1 (log (/ -1 x)))))
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))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* -1 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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x))))
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
-1/2
(- (* -1/3 x) 1/2)
(- (* x (- (* -1/4 x) 1/3)) 1/2)
(- (* x (- (* -1/4 x) 1/3)) 1/2)
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(+ 1 (+ (log -1) (log y)))
(+ 1 (+ (log -1) (log y)))
(+ 1 (+ (log -1) (log y)))
(+ 1 (+ (log -1) (log y)))
(+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))
(+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))
(+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))
(+ 1 (+ (log -1) (* -1 (log (/ 1 y)))))
(+ 1 (* -1 (log (/ -1 y))))
(+ 1 (* -1 (log (/ -1 y))))
(+ 1 (* -1 (log (/ -1 y))))
(+ 1 (* -1 (log (/ -1 y))))
(* -1 (+ (log -1) (log y)))
(* -1 (+ (log -1) (log y)))
(* -1 (+ (log -1) (log y)))
(* -1 (+ (log -1) (log y)))
(* -1 (+ (log -1) (* -1 (log (/ 1 y)))))
(* -1 (+ (log -1) (* -1 (log (/ 1 y)))))
(* -1 (+ (log -1) (* -1 (log (/ 1 y)))))
(* -1 (+ (log -1) (* -1 (log (/ 1 y)))))
(log (/ -1 y))
(log (/ -1 y))
(log (/ -1 y))
(log (/ -1 y))
(+ (log -1) (log y))
(+ (log -1) (log y))
(+ (log -1) (log y))
(+ (log -1) (log y))
(+ (log -1) (* -1 (log (/ 1 y))))
(+ (log -1) (* -1 (log (/ 1 y))))
(+ (log -1) (* -1 (log (/ 1 y))))
(+ (log -1) (* -1 (log (/ 1 y))))
(* -1 (log (/ -1 y)))
(* -1 (log (/ -1 y)))
(* -1 (log (/ -1 y)))
(* -1 (log (/ -1 y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
-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 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(- (+ 1 (* -1 y)) (log (- 1 x)))
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(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* -1 (log (/ 1 y)))))
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* -1 (log (/ 1 y)))))
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* -1 (log (/ 1 y)))))
(-.f64 (neg.f64 (log.f64 y)) (log.f64 #s(literal -1 binary64)))
(log (/ -1 y))
(neg.f64 (log.f64 (neg.f64 y)))
(log (/ -1 y))
(neg.f64 (log.f64 (neg.f64 y)))
(log (/ -1 y))
(neg.f64 (log.f64 (neg.f64 y)))
(log (/ -1 y))
(neg.f64 (log.f64 (neg.f64 y)))
(+ (log -1) (log y))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(+ (log -1) (log y))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(+ (log -1) (log y))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(+ (log -1) (log y))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(+ (log -1) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(+ (log -1) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(+ (log -1) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(+ (log -1) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(* -1 (log (/ -1 y)))
(log.f64 (neg.f64 y))
(* -1 (log (/ -1 y)))
(log.f64 (neg.f64 y))
(* -1 (log (/ -1 y)))
(log.f64 (neg.f64 y))
(* -1 (log (/ -1 y)))
(log.f64 (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
-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))

eval114.0ms (1%)

Memory
19.5MiB live, 221.3MiB allocated
Compiler

Compiled 18 539 to 2 140 computations (88.5% saved)

prune94.0ms (0.8%)

Memory
-20.9MiB live, 254.2MiB allocated
Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New7197726
Fresh11314
Picked145
Done033
Total72127748
Accuracy
100.0%
Counts
748 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
45.4%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
45.4%
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
48.2%
(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))
47.6%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
45.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
65.3%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
45.3%
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
19.9%
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
47.6%
(-.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))))
48.2%
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
57.1%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
46.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
46.5%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
67.1%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
45.4%
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
40.7%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
21.9%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
46.3%
(-.f64 #s(literal 1 binary64) y)
19.1%
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))))
20.7%
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
47.2%
(+.f64 #s(literal 1 binary64) (-.f64 x y))
48.6%
(+.f64 #s(literal 1 binary64) x)
3.1%
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
2.7%
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
4.1%
(neg.f64 y)
48.5%
#s(literal 1 binary64)
Compiler

Compiled 494 to 350 computations (29.1% saved)

simplify548.0ms (4.8%)

Memory
6.4MiB live, 412.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))
cost-diff128
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
cost-diff320
(*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))
cost-diff0
(fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64))
cost-diff0
(fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 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
(neg.f64 y)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff0
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
cost-diff128
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
Rules
12 232×accelerator-lowering-fma.f32
12 232×accelerator-lowering-fma.f64
3 454×*-lowering-*.f32
3 454×*-lowering-*.f64
1 990×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029198
183197
2222197
3721197
42742197
55719189
08370168
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- 1 (neg (log (/ (+ 1 x) (- 1 (* x x))))))
1
(neg (log (/ (+ 1 x) (- 1 (* x x)))))
(log (/ (+ 1 x) (- 1 (* x x))))
(/ (+ 1 x) (- 1 (* x x)))
(+ 1 x)
x
(- 1 (* x x))
(* x x)
(neg y)
y
(* y (* y -1/2))
y
(* y -1/2)
-1/2
(+ (* y (+ (* y (+ (* -1/3 y) -1/2)) -1)) 1)
y
(+ (* y (+ (* -1/3 y) -1/2)) -1)
(+ (* -1/3 y) -1/2)
-1/3
-1/2
-1
1
(/ (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) (- 1 (* y (+ (* y -1/2) -1))))
(- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))))
1
(* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))
y
(* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))
(+ (* y -1/2) -1)
-1/2
-1
(* y (+ (* y -1/2) -1))
(- 1 (* y (+ (* y -1/2) -1)))
Outputs
(- 1 (neg (log (/ (+ 1 x) (- 1 (* x x))))))
(+.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(neg (log (/ (+ 1 x) (- 1 (* x x)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log (/ (+ 1 x) (- 1 (* x x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ 1 x) (- 1 (* x x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
(neg y)
(neg.f64 y)
y
(* 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)
(+ (* y (+ (* y (+ (* -1/3 y) -1/2)) -1)) 1)
(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))
y
(+ (* y (+ (* -1/3 y) -1/2)) -1)
(fma.f64 y (fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(+ (* -1/3 y) -1/2)
(fma.f64 y #s(literal -1/3 binary64) #s(literal -1/2 binary64))
-1/3
#s(literal -1/3 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(/ (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) (- 1 (* y (+ (* y -1/2) -1))))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) y) y) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))))
(-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) y) y)))
1
#s(literal 1 binary64)
(* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))
(*.f64 y (fma.f64 y (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) y) y))
y
(* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) y) 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)
(* y (+ (* y -1/2) -1))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(- 1 (* y (+ (* y -1/2) -1)))
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))

localize305.0ms (2.7%)

Memory
-14.7MiB live, 182.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
accuracy99.9%
(*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
accuracy99.9%
(*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))
accuracy82.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
accuracy99.9%
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64))
accuracy99.9%
(fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
accuracy85.8%
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy40.9%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Samples
79.0ms53×2valid
54.0ms104×1valid
21.0ms24×0invalid
16.0ms75×0valid
Compiler

Compiled 182 to 31 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
adjust: 51.0ms (35.3% of total)
ival-log: 22.0ms (15.2% of total)
const: 21.0ms (14.5% of total)
ival-add: 16.0ms (11.1% of total)
ival-mult: 16.0ms (11.1% of total)
ival-sub: 8.0ms (5.5% of total)
ival-div: 6.0ms (4.2% of total)
ival-neg: 3.0ms (2.1% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (- 1 (neg (log (/ (+ 1 x) (- 1 (* x x))))))>
#<alt (neg (log (/ (+ 1 x) (- 1 (* x x)))))>
#<alt (log (/ (+ 1 x) (- 1 (* x x))))>
#<alt (/ (+ 1 x) (- 1 (* x x)))>
#<alt (neg y)>
#<alt (* y (* y -1/2))>
#<alt (* y -1/2)>
#<alt (+ (* y (+ (* y (+ (* -1/3 y) -1/2)) -1)) 1)>
#<alt (+ (* y (+ (* -1/3 y) -1/2)) -1)>
#<alt (+ (* -1/3 y) -1/2)>
#<alt (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))>
#<alt (/ (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) (- 1 (* y (+ (* y -1/2) -1))))>
#<alt (- 1 (* y (+ (* y -1/2) -1)))>
#<alt (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))))>
#<alt (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))>
#<alt (* y (+ (* y -1/2) -1))>
Outputs
#<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) (log (/ 1 x))))>
#<alt (+ 1 (+ (log -1) (+ (log (/ 1 x)) (/ 1 x))))>
#<alt (+ 1 (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))))>
#<alt (+ 1 (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))))>
#<alt (+ 1 (log (/ -1 x)))>
#<alt (+ 1 (+ (log (/ -1 x)) (/ 1 x)))>
#<alt (+ 1 (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 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 (* -1 (+ (log -1) (log (/ 1 x))))>
#<alt (* -1 (+ (log -1) (+ (log (/ 1 x)) (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (+ (log -1) (log (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))) (+ (log -1) (+ (log (/ 1 x)) (/ 1 x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (* -1 (+ (log (/ -1 x)) (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (log (/ -1 x)))>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)) (log (/ -1 x)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* 1/4 x)))))))>
#<alt (+ (log -1) (log (/ 1 x)))>
#<alt (+ (log -1) (+ (log (/ 1 x)) (/ 1 x)))>
#<alt (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))>
#<alt (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))>
#<alt (log (/ -1 x))>
#<alt (+ (log (/ -1 x)) (/ 1 x))>
#<alt (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))>
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<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 (* -1/2 (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 (* -1 y))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1)))>
#<alt (* -1/3 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y)))))>
#<alt (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 3)) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))))>
#<alt (* -1/3 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (+ 1/3 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2) y)))))>
#<alt -1>
#<alt (- (* -1/2 y) 1)>
#<alt (- (* y (- (* -1/3 y) 1/2)) 1)>
#<alt (- (* y (- (* -1/3 y) 1/2)) 1)>
#<alt (* -1/3 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/3 (* 1/2 (/ 1 y)))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))>
#<alt (* -1/3 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/3 (* 1/2 (/ 1 y)))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))>
#<alt -1/2>
#<alt (- (* -1/3 y) 1/2)>
#<alt (- (* -1/3 y) 1/2)>
#<alt (- (* -1/3 y) 1/2)>
#<alt (* -1/3 y)>
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))>
#<alt (* -1/3 y)>
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))>
#<alt y>
#<alt (* y (+ 1 y))>
#<alt (* y (+ 1 (* y (+ 1 (* 1/4 y)))))>
#<alt (* y (+ 1 (* y (+ 1 (* 1/4 y)))))>
#<alt (* 1/4 (pow y 3))>
#<alt (* (pow y 3) (+ 1/4 (/ 1 y)))>
#<alt (* (pow y 3) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* 1/4 (pow y 3))>
#<alt (* (pow y 3) (+ 1/4 (/ 1 y)))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4)))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4)))>
#<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 y)>
#<alt (+ 1 (* y (+ 1 (* 1/2 y))))>
#<alt (+ 1 (* y (+ 1 (* 1/2 y))))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (+ 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (+ 1/2 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1 y) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* y (- (* -1/4 y) 1)) 1)))>
#<alt (* -1/4 (pow y 4))>
#<alt (* -1 (* (pow y 4) (+ 1/4 (/ 1 y))))>
#<alt (* (pow y 4) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (* -1/4 (pow y 4))>
#<alt (* -1 (* (pow y 4) (+ 1/4 (/ 1 y))))>
#<alt (* (pow y 4) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4))>
#<alt (* (pow y 4) (- (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 (pow y 2)) 1) y))) y)) 1/4))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 y))>
#<alt (* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y)))))>
#<alt (* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y)))))>
#<alt (* 1/4 (pow y 4))>
#<alt (* (pow y 4) (+ 1/4 (/ 1 y)))>
#<alt (* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* 1/4 (pow y 4))>
#<alt (* (pow y 4) (+ 1/4 (/ 1 y)))>
#<alt (* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* -1 y)>
#<alt (* y (- (* -1/2 y) 1))>
#<alt (* y (- (* -1/2 y) 1))>
#<alt (* y (- (* -1/2 y) 1))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* -1/2 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))>
Calls

48 calls:

TimeVariablePointExpression
1.0ms
y
@0
(+ (* -1/3 y) -1/2)
0.0ms
y
@0
(* y (* y -1/2))
0.0ms
y
@inf
(* y (* y -1/2))
0.0ms
x
@inf
(- 1 (neg (log (/ (+ 1 x) (- 1 (* x x))))))
0.0ms
y
@inf
(/ (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) (- 1 (* y (+ (* y -1/2) -1))))

rewrite384.0ms (3.3%)

Memory
9.5MiB live, 637.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 828×/-lowering-/.f32
4 828×/-lowering-/.f64
4 286×accelerator-lowering-fma.f32
4 286×accelerator-lowering-fma.f64
4 178×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029168
1201115
21742111
0853495
Stop Event
iter limit
node limit
Counts
16 → 686
Calls
Call 1
Inputs
(- 1 (neg (log (/ (+ 1 x) (- 1 (* x x))))))
(neg (log (/ (+ 1 x) (- 1 (* x x)))))
(log (/ (+ 1 x) (- 1 (* x x))))
(/ (+ 1 x) (- 1 (* x x)))
(neg y)
(* y (* y -1/2))
(* y -1/2)
(+ (* y (+ (* y (+ (* -1/3 y) -1/2)) -1)) 1)
(+ (* y (+ (* -1/3 y) -1/2)) -1)
(+ (* -1/3 y) -1/2)
(* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))
(/ (- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))) (- 1 (* y (+ (* y -1/2) -1))))
(- 1 (* y (+ (* y -1/2) -1)))
(- 1 (* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1)))))
(* y (* (+ (* y -1/2) -1) (* y (+ (* y -1/2) -1))))
(* y (+ (* y -1/2) -1))
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x))))))) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (log1p.f64 (neg.f64 x))))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (log1p.f64 (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 (log1p.f64 (neg.f64 x)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (log1p.f64 (neg.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 (neg.f64 (*.f64 x x))))
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(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) y)
(-.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) y)
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (neg.f64 y))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) y (neg.f64 y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (neg.f64 y))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) y)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 y y)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y)))
(/.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) y) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) y)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (fma.f64 y y (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 y y (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) (fma.f64 y y (*.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) y))))
(*.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) y)
(*.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y))))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (neg.f64 y))))
(*.f64 (*.f64 #s(literal 1 binary64) y) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (*.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64))))

simplify326.0ms (2.8%)

Memory
-13.0MiB live, 521.6MiB allocated
Algorithm
egg-herbie
Rules
8 790×accelerator-lowering-fma.f32
8 790×accelerator-lowering-fma.f64
3 544×*-lowering-*.f32
3 544×*-lowering-*.f64
3 144×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371517
17001474
220111420
360021405
081711283
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(+ 1 (+ (log -1) (log (/ 1 x))))
(+ 1 (+ (log -1) (+ (log (/ 1 x)) (/ 1 x))))
(+ 1 (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))))
(+ 1 (+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))))
(+ 1 (log (/ -1 x)))
(+ 1 (+ (log (/ -1 x)) (/ 1 x)))
(+ 1 (+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(+ 1 (+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1 (+ (log -1) (log (/ 1 x))))
(* -1 (+ (log -1) (+ (log (/ 1 x)) (/ 1 x))))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (+ (log -1) (log (/ 1 x))))
(- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))) (+ (log -1) (+ (log (/ 1 x)) (/ 1 x))))
(* -1 (log (/ -1 x)))
(* -1 (+ (log (/ -1 x)) (/ 1 x)))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) (log (/ -1 x)))
(- (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)) (log (/ -1 x)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/3 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/3 (* 1/4 x)))))))
(+ (log -1) (log (/ 1 x)))
(+ (log -1) (+ (log (/ 1 x)) (/ 1 x)))
(+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x))))
(+ (log -1) (+ (log (/ 1 x)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))
(log (/ -1 x))
(+ (log (/ -1 x)) (/ 1 x))
(+ (log (/ -1 x)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* -1/2 y) 1)))
(+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1)))
(* -1/3 (pow y 3))
(* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y)))))
(* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))
(* (pow y 3) (- (/ 1 (pow y 3)) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))))
(* -1/3 (pow y 3))
(* -1 (* (pow y 3) (+ 1/3 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ 1/3 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (+ 1/3 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) y)) 1/2) y)))))
-1
(- (* -1/2 y) 1)
(- (* y (- (* -1/3 y) 1/2)) 1)
(- (* y (- (* -1/3 y) 1/2)) 1)
(* -1/3 (pow y 2))
(* -1 (* (pow y 2) (+ 1/3 (* 1/2 (/ 1 y)))))
(* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))
(* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))
(* -1/3 (pow y 2))
(* -1 (* (pow y 2) (+ 1/3 (* 1/2 (/ 1 y)))))
(* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))
(* (pow y 2) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/3))
-1/2
(- (* -1/3 y) 1/2)
(- (* -1/3 y) 1/2)
(- (* -1/3 y) 1/2)
(* -1/3 y)
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))
(* -1/3 y)
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/3 (* 1/2 (/ 1 y)))))
y
(* y (+ 1 y))
(* y (+ 1 (* y (+ 1 (* 1/4 y)))))
(* y (+ 1 (* y (+ 1 (* 1/4 y)))))
(* 1/4 (pow y 3))
(* (pow y 3) (+ 1/4 (/ 1 y)))
(* (pow y 3) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* 1/4 (pow y 3))
(* (pow y 3) (+ 1/4 (/ 1 y)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4)))
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 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* 1/2 y))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (/ 1 y)))
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (/ 1 y)))
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -1 y) 1)))
(+ 1 (* (pow y 2) (- (* y (- (* -1/4 y) 1)) 1)))
(* -1/4 (pow y 4))
(* -1 (* (pow y 4) (+ 1/4 (/ 1 y))))
(* (pow y 4) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4))
(* (pow y 4) (- (/ 1 (pow y 4)) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))))
(* -1/4 (pow y 4))
(* -1 (* (pow y 4) (+ 1/4 (/ 1 y))))
(* (pow y 4) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4))
(* (pow y 4) (- (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 (pow y 2)) 1) y))) y)) 1/4))
(pow y 2)
(* (pow y 2) (+ 1 y))
(* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y)))))
(* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y)))))
(* 1/4 (pow y 4))
(* (pow y 4) (+ 1/4 (/ 1 y)))
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* 1/4 (pow y 4))
(* (pow y 4) (+ 1/4 (/ 1 y)))
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* -1 y)
(* y (- (* -1/2 y) 1))
(* y (- (* -1/2 y) 1))
(* y (- (* -1/2 y) 1))
(* -1/2 (pow y 2))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(* -1/2 (pow y 2))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
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(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) y)))
(* (pow y 4) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4))
(*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (- (/ 1 (pow y 4)) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2))))))
(fma.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64))
(* -1/4 (pow y 4))
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))
(* -1 (* (pow y 4) (+ 1/4 (/ 1 y))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) y)))
(* (pow y 4) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1/4))
(*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (- (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 (pow y 2)) 1) y))) y)) 1/4))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)) y)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 y))
(*.f64 y (fma.f64 y y y))
(* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y)))))
(*.f64 y (fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) y) y))
(* (pow y 2) (+ 1 (* y (+ 1 (* 1/4 y)))))
(*.f64 y (fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) y) y))
(* 1/4 (pow y 4))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (+ 1/4 (/ 1 y)))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 y y)))
(* 1/4 (pow y 4))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (+ 1/4 (/ 1 y)))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 y y)))
(* (pow y 4) (+ 1/4 (+ (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 (*.f64 y y) (*.f64 y y)))
(* -1 y)
(neg.f64 y)
(* y (- (* -1/2 y) 1))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)))
(* y (- (* -1/2 y) 1))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)))
(* y (- (* -1/2 y) 1))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)))
(* -1/2 (pow y 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 y y))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)))
(* -1 (* (pow y 2) (+ 1/2 (/ 1 y))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)))

eval282.0ms (2.5%)

Memory
3.4MiB live, 309.2MiB allocated
Compiler

Compiled 33 270 to 2 942 computations (91.2% saved)

prune132.0ms (1.1%)

Memory
11.8MiB live, 258.8MiB allocated
Pruning

33 alts after pruning (23 fresh and 10 done)

PrunedKeptTotal
New9329941
Fresh11415
Picked235
Done077
Total93533968
Accuracy
100.0%
Counts
968 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
45.4%
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
48.2%
(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))
47.6%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
2.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y))
45.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
45.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
2.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
65.3%
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
45.3%
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
19.9%
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
47.6%
(-.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))))
48.2%
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
67.0%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
48.1%
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
46.3%
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
46.5%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
67.1%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
45.4%
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
40.7%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
21.9%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
46.3%
(-.f64 #s(literal 1 binary64) y)
19.1%
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))))
20.7%
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
47.2%
(+.f64 #s(literal 1 binary64) (-.f64 x y))
48.6%
(+.f64 #s(literal 1 binary64) x)
2.5%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
4.0%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
3.6%
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
3.1%
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))
2.7%
(*.f64 y (*.f64 y #s(literal -1/2 binary64)))
4.1%
(neg.f64 y)
48.5%
#s(literal 1 binary64)
Compiler

Compiled 841 to 414 computations (50.8% saved)

regimes75.0ms (0.6%)

Memory
-12.0MiB live, 104.5MiB allocated
Counts
44 → 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 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #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 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(+.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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.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 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 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)))
(-.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.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 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.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))))))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.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
14.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
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
y
10.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
84.0%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)

regimes51.0ms (0.4%)

Memory
21.3MiB live, 59.4MiB allocated
Counts
42 → 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 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #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 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(+.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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.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 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y) (-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (neg.f64 y)))))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
Calls

4 calls:

17.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
11.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
10.0ms
(-.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
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 46 to 30 computations (34.8% saved)

regimes44.0ms (0.4%)

Memory
1.4MiB live, 77.0MiB allocated
Counts
40 → 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 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #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 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(+.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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.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 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
Calls

4 calls:

12.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
10.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
9.0ms
(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)

regimes55.0ms (0.5%)

Memory
10.8MiB live, 88.1MiB allocated
Counts
38 → 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 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #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 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(+.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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.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 #s(literal 1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (log.f64 (neg.f64 y)))))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
Calls

5 calls:

14.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
11.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
10.0ms
y
9.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
9.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
99.2%3y
99.1%3(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
99.1%3(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
99.1%3(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
99.1%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes56.0ms (0.5%)

Memory
-27.2MiB live, 94.2MiB allocated
Counts
34 → 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 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #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 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(+.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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #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 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
Calls

5 calls:

17.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
10.0ms
y
9.0ms
(/.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)))
8.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
90.5%3(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
90.5%3(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
90.5%3(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
90.5%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
91.8%3y
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes11.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated
Counts
33 → 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 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #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 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(+.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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
(-.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:

9.0ms
y
Results
AccuracySegmentsBranch
91.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes49.0ms (0.4%)

Memory
12.4MiB live, 88.4MiB 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 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #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 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(+.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 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y y y)))
Outputs
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
Calls

5 calls:

12.0ms
y
11.0ms
(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
82.7%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
82.7%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
82.7%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
82.7%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
82.3%2y
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes50.0ms (0.4%)

Memory
-17.8MiB live, 104.7MiB allocated
Counts
26 → 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 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #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 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
Outputs
(+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 x y))
(-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))
Calls

6 calls:

11.0ms
(-.f64 #s(literal 1 binary64) (/.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)))))
8.0ms
y
8.0ms
x
7.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
64.1%2y
66.9%2x
82.2%3(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
82.2%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
82.2%3(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
82.2%3(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes66.0ms (0.6%)

Memory
9.6MiB live, 48.4MiB allocated
Counts
25 → 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 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #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 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(+.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

5 calls:

37.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
7.0ms
x
7.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
7.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
6.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
50.4%2x
64.2%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
64.2%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
64.2%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
64.2%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes66.0ms (0.6%)

Memory
-17.3MiB live, 61.5MiB allocated
Counts
24 → 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 y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (fma.f64 y #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 #s(literal -1/2 binary64) y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) 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))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
Outputs
(+.f64 #s(literal 1 binary64) x)
Calls

6 calls:

26.0ms
y
12.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
7.0ms
x
7.0ms
(/.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
48.6%1x
48.6%1y
48.6%1(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
48.6%1(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
48.6%1(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
48.6%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
14.9MiB live, 14.9MiB allocated
Accuracy

Total -28.8b remaining (-87.4%)

Threshold costs -28.8b (-87.4%)

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

6 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
1.0ms
y
1.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
1.0ms
x
1.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
48.5%1x
48.5%1(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
48.5%1(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
48.5%1(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
48.5%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
48.5%1y
Compiler

Compiled 52 to 34 computations (34.6% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7924524732647604
0.8265618615674368
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7924524732647604
0.8265618615674368
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
0.999999839644499
1.0
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch37.0ms (0.3%)

Memory
7.8MiB live, 46.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.8673724305809446e-14
1.9817390636262964e-10
20.0ms
-3.8181735322515387
-0.10993521548597752
Samples
16.0ms240×0valid
1.0ms17×0invalid
Compiler

Compiled 332 to 269 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 5.0ms (45.3% of total)
ival-log: 4.0ms (36.3% of total)
ival-div: 2.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
-13.4MiB live, 61.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.8673724305809446e-14
1.9817390636262964e-10
14.0ms
-3.8181735322515387
-0.10993521548597752
Samples
19.0ms240×0valid
2.0ms28×0invalid
Compiler

Compiled 311 to 255 computations (18% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 5.0ms (44.2% of total)
ival-log: 4.0ms (35.4% of total)
ival-div: 2.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch302.0ms (2.6%)

Memory
-201.5MiB live, 107.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
0.00010876414819344488
134340.66919812502
253.0ms
-3.8181735322515387
-0.10993521548597752
Samples
256.0ms256×0valid
18.0ms300×0invalid
Compiler

Compiled 314 to 254 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 261.0ms
ival-log: 245.0ms (93.8% of total)
ival-sub: 11.0ms (4.2% of total)
ival-div: 4.0ms (1.5% 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
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.20754752673523957
0.49083737227608015
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000000000000174
622.0801039574625
0.0ms
0.20754752673523957
0.49083737227608015
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
0.5091626277239198
0.7924524732647604
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify39.0ms (0.3%)

Memory
11.6MiB live, 50.8MiB allocated
Algorithm
egg-herbie
Rules
270×unsub-neg_binary64
142×neg-mul-1_binary64
118×distribute-lft-neg-in_binary64
94×sub-neg_binary64
92×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070278
1106278
2144278
3174278
4208278
5247278
6284278
7398278
8550278
9623278
10671278
11703278
12721278
13726278
14728278
15731278
16736278
17737278
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.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 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.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 9007197810387043/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))))
(if (<=.f64 y #s(literal -7/4 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -4278419646001971/1125899906842624 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -4278419646001971/1125899906842624 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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5404319552844595/9007199254740992 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 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.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 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (/.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 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.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 3602879701896397/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (/.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 9007197810387043/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9007197810387043/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -7/4 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -7/4 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -4278419646001971/1125899906842624 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -4278419646001971/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 y #s(literal 3771848557197643/19342813113834066795298816 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) y) (log1p.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -4278419646001971/1125899906842624 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 -4278419646001971/1125899906842624 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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 (log.f64 (neg.f64 y)) #s(literal 1 binary64)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (log.f64 (neg.f64 x)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 3602879701896397/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (neg.f64 y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (-.f64 x y) #s(literal 1 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 5404319552844595/9007199254740992 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 5404319552844595/9007199254740992 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)

soundness1.0s (8.8%)

Memory
30.5MiB live, 938.5MiB allocated
Rules
9 114×accelerator-lowering-fma.f32
9 114×accelerator-lowering-fma.f64
8 190×accelerator-lowering-fma.f32
8 190×accelerator-lowering-fma.f64
6 656×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051368
16221320
218841297
362711274
082201195
04322626
114042020
248901789
085581696
04854444
115034159
246124043
086023934
028105
1199104
21805104
0840687
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 532 to 276 computations (48.1% saved)

preprocess90.0ms (0.8%)

Memory
3.9MiB live, 199.2MiB allocated
Compiler

Compiled 698 to 208 computations (70.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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