Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 2.7s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.2s (46.4%)

Results
933.0ms7266×256valid
93.0ms989×256infinite
0.0ms256infinite
Precisions
Click to see histograms. Total time spent on operations: 455.0ms
Operation ival-add, time spent: 310.0ms, 68.0% of total-time
Operation ival-mult, time spent: 81.0ms, 18.0% of total-time
Operation ival-sub, time spent: 49.0ms, 11.0% of total-time
Operation const, time spent: 14.0ms, 3.0% of total-time
Bogosity

preprocess194.0ms (7.3%)

Algorithm
egg-herbie
Rules
1272×fma-neg
1262×fma-define
248×distribute-rgt-in
232×unsub-neg
146×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-1
00-0-y
00-0-(+.f64 x 1)
00-0-(*.f64 (+.f64 x 1) y)
00-0-(-.f64 (*.f64 (+.f64 x 1) y) x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024228
156204
2152185
3693182
41591176
52456176
62748176
72798176
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 (+.f64 (neg.f64 x) 1) y) (neg.f64 x))
(-.f64 (*.f64 (+.f64 x 1) (neg.f64 y)) x)
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) 1) y) (neg.f64 x)))
(neg.f64 (-.f64 (*.f64 (+.f64 x 1) (neg.f64 y)) x))
(-.f64 (*.f64 (+.f64 y 1) x) y)
Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (*.f64 (+.f64 x 1) y) x)
(fma.f64 (+.f64 x 1) y (neg.f64 x))
(-.f64 (fma.f64 x y y) x)
(fma.f64 x (+.f64 y -1) y)
(-.f64 (*.f64 (+.f64 (neg.f64 x) 1) y) (neg.f64 x))
(-.f64 (*.f64 y (+.f64 1 (neg.f64 x))) (neg.f64 x))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 x (-.f64 1 y) y)
(-.f64 (*.f64 (+.f64 x 1) (neg.f64 y)) x)
(neg.f64 (fma.f64 (+.f64 x 1) y x))
(-.f64 (*.f64 y (-.f64 -1 x)) x)
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) 1) y) (neg.f64 x)))
(neg.f64 (-.f64 (*.f64 y (+.f64 1 (neg.f64 x))) (neg.f64 x)))
(neg.f64 (fma.f64 y (-.f64 1 x) x))
(-.f64 (*.f64 x (+.f64 y -1)) y)
(neg.f64 (-.f64 (*.f64 (+.f64 x 1) (neg.f64 y)) x))
(fma.f64 (+.f64 x 1) y x)
(-.f64 (*.f64 (+.f64 y 1) x) y)
(-.f64 (*.f64 x (+.f64 1 y)) y)
(-.f64 (fma.f64 x y x) y)
(fma.f64 y (+.f64 x -1) x)
Compiler

Compiled 60 to 38 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-mult, time spent: 10.0ms, 39.0% of total-time
Operation ival-add, time spent: 9.0ms, 35.0% of total-time
Operation ival-sub, time spent: 3.0ms, 12.0% of total-time
Operation const, time spent: 3.0ms, 12.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x (+.f64 y -1) y)
100.0%
(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 17 to 11 computations (35.3% saved)

localize55.0ms (2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (+.f64 y -1) y)
100.0%
(*.f64 (+.f64 x 1) y)
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-add, time spent: 8.0ms, 39.0% of total-time
Operation ival-mult, time spent: 6.0ms, 30.0% of total-time
Operation composed, time spent: 4.0ms, 20.0% of total-time
Operation ival-sub, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

series8.0ms (0.3%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x 1) y)>
#<alt (fma.f64 x (+.f64 y -1) y)>
Outputs
#<alt y>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (+.f64 y (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x (+.f64 y (/.f64 y x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 y x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 y x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 y x)))))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 y 1)))>
#<alt (+.f64 y (*.f64 x (-.f64 y 1)))>
#<alt (+.f64 y (*.f64 x (-.f64 y 1)))>
#<alt (*.f64 x (-.f64 y 1))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) 1))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) 1))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 y x)) 1))>
#<alt (*.f64 x (-.f64 y 1))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 y x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 y x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 y x)))))>
#<alt (*.f64 -1 x)>
#<alt (+.f64 (*.f64 -1 x) (*.f64 y (+.f64 1 x)))>
#<alt (+.f64 (*.f64 -1 x) (*.f64 y (+.f64 1 x)))>
#<alt (+.f64 (*.f64 -1 x) (*.f64 y (+.f64 1 x)))>
#<alt (*.f64 y (+.f64 1 x))>
#<alt (*.f64 y (+.f64 1 (+.f64 x (*.f64 -1 (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 1 (+.f64 x (*.f64 -1 (/.f64 x y)))))>
#<alt (*.f64 y (+.f64 1 (+.f64 x (*.f64 -1 (/.f64 x y)))))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) 1)))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 x) (/.f64 x y)) 1)))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 x) (/.f64 x y)) 1)))>
#<alt (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 x) (/.f64 x y)) 1)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (* x (+ y -1)) y)
1.0ms
y
@inf
(+ (* x (+ y -1)) y)
1.0ms
x
@-inf
(+ (* x (+ y -1)) y)
1.0ms
y
@0
(* (+ x 1) y)
0.0ms
y
@-inf
(+ (* x (+ y -1)) y)

rewrite294.0ms (11%)

Algorithm
batch-egg-rewrite
Rules
1192×unpow-prod-down
750×log1p-expm1-u
750×expm1-log1p-u
698×log-prod
416×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01443
115643
2200542
Stop Event
node limit
Counts
2 → 86
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) y)
(fma.f64 x (+.f64 y -1) y)
Outputs
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 y x))
(+.f64 0 (fma.f64 x y y))
(+.f64 (*.f64 x y) y)
(+.f64 (*.f64 y x) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y))) (cbrt.f64 (exp.f64 (fma.f64 x y y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y y))) 1)
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x -1))
(pow.f64 (fma.f64 x y y) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y y)) 3)
(pow.f64 (pow.f64 (fma.f64 x y y) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y y)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y y) 2))
(log.f64 (exp.f64 (fma.f64 x y y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y y))))
(cbrt.f64 (pow.f64 (fma.f64 x y y) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(log1p.f64 (expm1.f64 (fma.f64 x y y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y y))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 x) (log.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y y))) 2))
(fma.f64 x y y)
(fma.f64 1 y (*.f64 x y))
(fma.f64 1 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 y 1 (*.f64 x y))
(fma.f64 y 1 (*.f64 y x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(+.f64 y (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 x (+.f64 y -1)) y)
(+.f64 0 (fma.f64 x (+.f64 y -1) y))
(+.f64 (*.f64 (*.f64 x (+.f64 y -1)) 1) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) y))) 1)
(*.f64 1 (fma.f64 x (+.f64 y -1) y))
(*.f64 (fma.f64 x (+.f64 y -1) y) 1)
(*.f64 (fma.f64 x (+.f64 y -1) y) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) (pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y)) (sqrt.f64 (fma.f64 x (+.f64 y -1) y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(*.f64 (pow.f64 1 1/3) (fma.f64 x (+.f64 y -1) y))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) 1/3) (cbrt.f64 (fma.f64 x (+.f64 y -1) y)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 y -1) y) (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 1/3) (pow.f64 (*.f64 (fma.f64 x (+.f64 y -1) y) (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)) 1/3) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 y 3)) (fma.f64 (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)) (-.f64 (pow.f64 y 2) (*.f64 (*.f64 x (+.f64 y -1)) y))))
(/.f64 (fma.f64 (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)) (neg.f64 (pow.f64 y 2))) (-.f64 (*.f64 x (+.f64 y -1)) y))
(pow.f64 (fma.f64 x (+.f64 y -1) y) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y -1) y))))
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (+.f64 y -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (*.f64 x (+.f64 y -1)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 y -1))) (+.f64 1 (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y -1) y)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y -1) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y -1) y)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))

simplify91.0ms (3.4%)

Algorithm
egg-herbie
Rules
1158×fma-define
1076×prod-exp
980×fma-neg
924×distribute-lft-in
854×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02493673
15323643
214813603
354563570
Stop Event
node limit
Counts
134 → 130
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 y x)))))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
y
(+.f64 y (*.f64 x (-.f64 y 1)))
(+.f64 y (*.f64 x (-.f64 y 1)))
(+.f64 y (*.f64 x (-.f64 y 1)))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) 1))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) 1))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) 1))
(*.f64 x (-.f64 y 1))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 y x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 y (+.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 y (+.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 y (+.f64 1 x)))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 (+.f64 x (*.f64 -1 (/.f64 x y)))))
(*.f64 y (+.f64 1 (+.f64 x (*.f64 -1 (/.f64 x y)))))
(*.f64 y (+.f64 1 (+.f64 x (*.f64 -1 (/.f64 x y)))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 x) (/.f64 x y)) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 x) (/.f64 x y)) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 x) (/.f64 x y)) 1)))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 y x))
(+.f64 0 (fma.f64 x y y))
(+.f64 (*.f64 x y) y)
(+.f64 (*.f64 y x) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y))) (cbrt.f64 (exp.f64 (fma.f64 x y y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y y))) 1)
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x -1))
(pow.f64 (fma.f64 x y y) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y y)) 3)
(pow.f64 (pow.f64 (fma.f64 x y y) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y y)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y y) 2))
(log.f64 (exp.f64 (fma.f64 x y y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y y))))
(cbrt.f64 (pow.f64 (fma.f64 x y y) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(log1p.f64 (expm1.f64 (fma.f64 x y y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y y))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 x) (log.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y y))) 2))
(fma.f64 x y y)
(fma.f64 1 y (*.f64 x y))
(fma.f64 1 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 y 1 (*.f64 x y))
(fma.f64 y 1 (*.f64 y x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(+.f64 y (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 x (+.f64 y -1)) y)
(+.f64 0 (fma.f64 x (+.f64 y -1) y))
(+.f64 (*.f64 (*.f64 x (+.f64 y -1)) 1) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) y))) 1)
(*.f64 1 (fma.f64 x (+.f64 y -1) y))
(*.f64 (fma.f64 x (+.f64 y -1) y) 1)
(*.f64 (fma.f64 x (+.f64 y -1) y) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) (pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y)) (sqrt.f64 (fma.f64 x (+.f64 y -1) y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(*.f64 (pow.f64 1 1/3) (fma.f64 x (+.f64 y -1) y))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) 1/3) (cbrt.f64 (fma.f64 x (+.f64 y -1) y)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 y -1) y) (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 1/3) (pow.f64 (*.f64 (fma.f64 x (+.f64 y -1) y) (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)) 1/3) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 y 3)) (fma.f64 (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)) (-.f64 (pow.f64 y 2) (*.f64 (*.f64 x (+.f64 y -1)) y))))
(/.f64 (fma.f64 (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)) (neg.f64 (pow.f64 y 2))) (-.f64 (*.f64 x (+.f64 y -1)) y))
(pow.f64 (fma.f64 x (+.f64 y -1) y) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y -1) y))))
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (+.f64 y -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (*.f64 x (+.f64 y -1)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 y -1))) (+.f64 1 (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y -1) y)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y -1) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y -1) y)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))
Outputs
y
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 x y)
(*.f64 y x)
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 y x)))))
(*.f64 x (+.f64 y (/.f64 y x)))
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
y
(+.f64 y (*.f64 x (-.f64 y 1)))
(fma.f64 x (+.f64 y -1) y)
(+.f64 y (*.f64 x (-.f64 y 1)))
(fma.f64 x (+.f64 y -1) y)
(+.f64 y (*.f64 x (-.f64 y 1)))
(fma.f64 x (+.f64 y -1) y)
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) 1))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) -1))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y -1)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) 1))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) -1))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y -1)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) 1))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) -1))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y -1)))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 y x)))))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) -1))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y -1)))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 y x)))))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) -1))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y -1)))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 y x)))))
(*.f64 x (+.f64 (+.f64 y (/.f64 y x)) -1))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 y x))))
(*.f64 x (+.f64 (/.f64 y x) (+.f64 y -1)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 y (+.f64 1 x)))
(fma.f64 x (+.f64 y -1) y)
(+.f64 (*.f64 -1 x) (*.f64 y (+.f64 1 x)))
(fma.f64 x (+.f64 y -1) y)
(+.f64 (*.f64 -1 x) (*.f64 y (+.f64 1 x)))
(fma.f64 x (+.f64 y -1) y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 (+.f64 x (*.f64 -1 (/.f64 x y)))))
(*.f64 y (+.f64 1 (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 1 (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(*.f64 y (+.f64 1 (+.f64 x (*.f64 -1 (/.f64 x y)))))
(*.f64 y (+.f64 1 (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 1 (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(*.f64 y (+.f64 1 (+.f64 x (*.f64 -1 (/.f64 x y)))))
(*.f64 y (+.f64 1 (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 1 (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) 1)))
(fma.f64 y x y)
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 x) (/.f64 x y)) 1)))
(*.f64 y (+.f64 1 (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 1 (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 x) (/.f64 x y)) 1)))
(*.f64 y (+.f64 1 (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 1 (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 x) (/.f64 x y)) 1)))
(*.f64 y (+.f64 1 (+.f64 x (neg.f64 (/.f64 x y)))))
(*.f64 y (+.f64 1 (-.f64 x (/.f64 x y))))
(fma.f64 y (-.f64 x (/.f64 x y)) y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 0 (fma.f64 x y y))
(fma.f64 y x y)
(+.f64 (*.f64 x y) y)
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y))) (cbrt.f64 (exp.f64 (fma.f64 x y y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y x y))) (cbrt.f64 (exp.f64 (fma.f64 y x y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y y)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x y)))) 2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y y))) 1)
(fma.f64 y x y)
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 y (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 y (fma.f64 x x (-.f64 1 x))))
(/.f64 (fma.f64 y (pow.f64 x 3) y) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (fma.f64 x x -1) (/.f64 y (+.f64 x -1)))
(*.f64 y (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))
(*.f64 y (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 y (fma.f64 x x (-.f64 1 x))))
(/.f64 (fma.f64 y (pow.f64 x 3) y) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x -1))
(*.f64 (fma.f64 x x -1) (/.f64 y (+.f64 x -1)))
(*.f64 y (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(pow.f64 (fma.f64 x y y) 1)
(fma.f64 y x y)
(pow.f64 (cbrt.f64 (fma.f64 x y y)) 3)
(fma.f64 y x y)
(pow.f64 (pow.f64 (fma.f64 x y y) 3) 1/3)
(fma.f64 y x y)
(pow.f64 (sqrt.f64 (fma.f64 x y y)) 2)
(fma.f64 y x y)
(sqrt.f64 (pow.f64 (fma.f64 x y y) 2))
(fma.f64 y x y)
(log.f64 (exp.f64 (fma.f64 x y y)))
(fma.f64 y x y)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y y))))
(fma.f64 y x y)
(cbrt.f64 (pow.f64 (fma.f64 x y y) 3))
(fma.f64 y x y)
(expm1.f64 (log1p.f64 (fma.f64 x y y)))
(fma.f64 y x y)
(log1p.f64 (expm1.f64 (fma.f64 x y y)))
(fma.f64 y x y)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(fma.f64 y x y)
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) 1))
(fma.f64 y x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y y))) 3))
(fma.f64 y x y)
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 x) (log.f64 y))) 1/3))
(fma.f64 y x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y y))) 2))
(fma.f64 y x y)
(fma.f64 x y y)
(fma.f64 y x y)
(fma.f64 1 y (*.f64 x y))
(fma.f64 y x y)
(fma.f64 1 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 y x y)
(fma.f64 y 1 (*.f64 x y))
(fma.f64 y x y)
(fma.f64 y 1 (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 x y))
(fma.f64 y x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 x y))
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 x (+.f64 y -1)))
(fma.f64 x (+.f64 y -1) y)
(+.f64 (*.f64 x (+.f64 y -1)) y)
(fma.f64 x (+.f64 y -1) y)
(+.f64 0 (fma.f64 x (+.f64 y -1) y))
(fma.f64 x (+.f64 y -1) y)
(+.f64 (*.f64 (*.f64 x (+.f64 y -1)) 1) y)
(fma.f64 x (+.f64 y -1) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) y))) 1)
(fma.f64 x (+.f64 y -1) y)
(*.f64 1 (fma.f64 x (+.f64 y -1) y))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (fma.f64 x (+.f64 y -1) y) 1)
(fma.f64 x (+.f64 y -1) y)
(*.f64 (fma.f64 x (+.f64 y -1) y) (log.f64 (exp.f64 1)))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) (pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) 1/3))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) y)))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y)) (sqrt.f64 (fma.f64 x (+.f64 y -1) y)))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 1 1/3) (fma.f64 x (+.f64 y -1) y))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) 1/3) (cbrt.f64 (fma.f64 x (+.f64 y -1) y)))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 y -1) y) (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 1/3) (pow.f64 (*.f64 (fma.f64 x (+.f64 y -1) y) (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 1/3))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3)) 1/3))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)) 1/3) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2) (pow.f64 (fma.f64 x (+.f64 y -1) y) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 7))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 8)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2) (sqrt.f64 (fma.f64 x (+.f64 y -1) y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (*.f64 (fma.f64 x (+.f64 y -1) y) (pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y)) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y)) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))
(fma.f64 x (+.f64 y -1) y)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))
(fma.f64 x (+.f64 y -1) y)
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 y 3)) (fma.f64 (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)) (-.f64 (pow.f64 y 2) (*.f64 (*.f64 x (+.f64 y -1)) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 y 3)) (fma.f64 (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)) (-.f64 (pow.f64 y 2) (*.f64 y (*.f64 x (+.f64 y -1))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 y 3)) (fma.f64 (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)) (*.f64 y (-.f64 y (*.f64 x (+.f64 y -1))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 y 3)) (fma.f64 y (+.f64 y (*.f64 x (-.f64 1 y))) (*.f64 (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))
(/.f64 (fma.f64 (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1)) (neg.f64 (pow.f64 y 2))) (-.f64 (*.f64 x (+.f64 y -1)) y))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y -1)) (*.f64 x (+.f64 y -1))) (pow.f64 y 2)) (-.f64 (*.f64 x (+.f64 y -1)) y))
(/.f64 (*.f64 (fma.f64 x (+.f64 y -1) y) (-.f64 (*.f64 x (+.f64 y -1)) y)) (-.f64 (*.f64 x (+.f64 y -1)) y))
(pow.f64 (fma.f64 x (+.f64 y -1) y) 1)
(fma.f64 x (+.f64 y -1) y)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y)) 3)
(fma.f64 x (+.f64 y -1) y)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3) 1/3)
(fma.f64 x (+.f64 y -1) y)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y)) 2)
(fma.f64 x (+.f64 y -1) y)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 2))
(fma.f64 x (+.f64 y -1) y)
(log.f64 (exp.f64 (fma.f64 x (+.f64 y -1) y)))
(fma.f64 x (+.f64 y -1) y)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y -1) y))))
(fma.f64 x (+.f64 y -1) y)
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (+.f64 y -1)))))
(fma.f64 x (+.f64 y -1) y)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (*.f64 x (+.f64 y -1)))))
(fma.f64 x (+.f64 y -1) y)
(log.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 y -1))) (+.f64 1 (expm1.f64 y))))
(fma.f64 x (+.f64 y -1) y)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3))
(fma.f64 x (+.f64 y -1) y)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) y)))
(fma.f64 x (+.f64 y -1) y)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y -1) y)))
(fma.f64 x (+.f64 y -1) y)
(exp.f64 (log.f64 (fma.f64 x (+.f64 y -1) y)))
(fma.f64 x (+.f64 y -1) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y -1) y)) 1))
(fma.f64 x (+.f64 y -1) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) y))) 3))
(fma.f64 x (+.f64 y -1) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (+.f64 y -1) y) 3)) 1/3))
(fma.f64 x (+.f64 y -1) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) y))) 2))
(fma.f64 x (+.f64 y -1) y)

eval87.0ms (3.2%)

Compiler

Compiled 1718 to 1002 computations (41.7% saved)

prune18.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1264130
Fresh000
Picked202
Done000
Total1284132
Accuracy
100.0%
Counts
132 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
62.8%
(-.f64 (*.f64 y x) x)
75.2%
(-.f64 y x)
38.3%
(neg.f64 x)
Compiler

Compiled 25 to 15 computations (40% saved)

localize45.0ms (1.7%)

Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-sub, time spent: 5.0ms, 49.0% of total-time
Operation ival-mult, time spent: 2.0ms, 20.0% of total-time
Operation ival-neg, time spent: 2.0ms, 20.0% of total-time
Operation ival-add, time spent: 1.0ms, 10.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done000
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y x) y) x)
62.8%
(-.f64 (*.f64 y x) x)
75.2%
(-.f64 y x)
38.3%
(neg.f64 x)
Compiler

Compiled 57 to 30 computations (47.4% saved)

regimes15.0ms (0.5%)

Counts
6 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 y x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (+.f64 (*.f64 y x) y) x)
(fma.f64 x (+.f64 y -1) y)
Outputs
(-.f64 (+.f64 (*.f64 y x) y) x)
Calls

3 calls:

5.0ms
(-.f64 (*.f64 (+.f64 x 1) y) x)
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 y x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 (+.f64 x 1) y) x)
Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
Calls

3 calls:

4.0ms
y
4.0ms
x
4.0ms
(-.f64 (*.f64 (+.f64 x 1) y) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (*.f64 (+.f64 x 1) y) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes29.0ms (1.1%)

Counts
3 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 y x)
(-.f64 (*.f64 y x) x)
Outputs
(-.f64 (*.f64 y x) x)
(-.f64 y x)
(-.f64 (*.f64 y x) x)
Calls

2 calls:

17.0ms
y
11.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
81.5%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 y x)
Outputs
(-.f64 y x)
Calls

2 calls:

4.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
75.2%1y
75.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 x)
Outputs
(neg.f64 x)
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
38.3%1y
38.3%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch39.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
0.08769984086436196
27887267987289.637
18.0ms
-6587761593312.373
-0.08409848094894143
Results
34.0ms318×256valid
0.0ms256valid
0.0ms256infinite
Compiler

Compiled 294 to 190 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-sub, time spent: 2.0ms, 28.0% of total-time
Operation ival-add, time spent: 2.0ms, 28.0% of total-time
Operation ival-mult, time spent: 2.0ms, 28.0% of total-time
Operation const, time spent: 1.0ms, 14.0% of total-time

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Rules
14×+-commutative
10×sub-neg
*-commutative
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026146
146146
252146
353146
Stop Event
done
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (*.f64 (+.f64 x 1) y) x)
(if (<=.f64 x -1) (-.f64 (*.f64 y x) x) (if (<=.f64 x 1) (-.f64 y x) (-.f64 (*.f64 y x) x)))
(-.f64 y x)
(neg.f64 x)
Outputs
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 y (*.f64 y x)) x)
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 y (+.f64 x 1)) x)
(if (<=.f64 x -1) (-.f64 (*.f64 y x) x) (if (<=.f64 x 1) (-.f64 y x) (-.f64 (*.f64 y x) x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (-.f64 (*.f64 y x) x) (-.f64 y x))
(-.f64 y x)
(neg.f64 x)
Compiler

Compiled 46 to 29 computations (37% saved)

soundness483.0ms (18%)

Rules
1272×fma-neg
1262×fma-define
1192×unpow-prod-down
1158×fma-define
1076×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024228
156204
2152185
3693182
41591176
52456176
62748176
72798176
01443
115643
2200542
02493673
15323643
214813603
354563570
Stop Event
node limit
node limit
saturated
Compiler

Compiled 165 to 76 computations (53.9% saved)

end0.0ms (0%)

preprocess40.0ms (1.5%)

Compiler

Compiled 94 to 50 computations (46.8% saved)

Profiling

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