Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

Time bar (total: 10.3s)

analyze23.0ms (0.2%)

Memory
25.1MiB live, 63.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample886.0ms (8.6%)

Memory
2.9MiB live, 1 512.8MiB allocated
Samples
595.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 393.0ms
ival-add: 198.0ms (50.3% of total)
ival-div: 121.0ms (30.8% of total)
ival-mult: 58.0ms (14.7% of total)
ival-true: 8.0ms (2% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

preprocess215.0ms (2.1%)

Memory
-19.8MiB live, 54.8MiB allocated
Algorithm
2×egg-herbie
Rules
1 986×div-sub
1 176×unsub-neg
906×distribute-lft-in
858×sub-neg
840×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02676
19268
222366
370966
4174766
5341166
6486166
7547566
8601966
9629166
10632666
11677266
12709666
13713266
14722466
15747866
16781266
17781266
0811
12111
23011
35811
49511
515211
622911
725711
826311
927711
1027911
1127911
1228011
1328211
1429011
029010
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
Outputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))
Call 2
Inputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1))
(/ (* x (+ (/ x (neg y)) 1)) (+ x 1))
(neg (/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1)))
(neg (/ (* x (+ (/ x (neg y)) 1)) (+ x 1)))
(/ (* y (+ (/ y x) 1)) (+ y 1))
Outputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(* (+ (/ x y) 1) (/ x (+ x 1)))
(/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1))
(* (- 1 (/ x y)) (/ x (+ x -1)))
(/ (* x (+ (/ x (neg y)) 1)) (+ x 1))
(* (- 1 (/ x y)) (/ x (+ x 1)))
(neg (/ (* (neg x) (+ (/ (neg x) y) 1)) (+ (neg x) 1)))
(* (- 1 (/ x y)) (/ x (- 1 x)))
(neg (/ (* x (+ (/ x (neg y)) 1)) (+ x 1)))
(* (- 1 (/ x y)) (/ x (- -1 x)))
(/ (* y (+ (/ y x) 1)) (+ y 1))
(* (+ 1 (/ y x)) (/ y (+ y 1)))

explain298.0ms (2.9%)

Memory
20.6MiB live, 180.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
220-0-(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
00-0-(/.f64 x y)
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 (/.f64 x y) #s(literal 1 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))o/n220
↳(/.f64 x y)overflow36
↳(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))overflow58
↳(+.f64 (/.f64 x y) #s(literal 1 binary64))overflow36
Confusion
Predicted +Predicted -
+220
-0234
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2200
-00234
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0234
122
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
39.0ms512×0valid
Compiler

Compiled 94 to 36 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (43.3% of total)
ival-add: 5.0ms (30.9% of total)
ival-mult: 3.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.8%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify33.0ms (0.3%)

Memory
-19.0MiB live, 20.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓cost-diff128
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
Rules
166×*-lowering-*.f32
166×*-lowering-*.f64
92×accelerator-lowering-fma.f32
92×accelerator-lowering-fma.f64
90×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
12132
23032
35832
49532
515232
622932
725732
826332
927732
1027932
1127932
1228032
1328232
1429032
029030
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(* x (+ (/ x y) 1))
x
(+ (/ x y) 1)
(/ x y)
y
1
(+ x 1)
Outputs
(/ (* x (+ (/ x y) 1)) (+ x 1))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))
(* x (+ (/ x y) 1))
(fma.f64 x (/.f64 x y) x)
x
(+ (/ x y) 1)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
y
1
#s(literal 1 binary64)
(+ x 1)
(+.f64 x #s(literal 1 binary64))

localize54.0ms (0.5%)

Memory
-1.9MiB live, 43.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓accuracy91.8%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Samples
15.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.7% of total)
ival-add: 2.0ms (24.4% of total)
ival-mult: 2.0ms (24.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (* x (+ (/ x y) 1))>
#<alt (/ (* x (+ (/ x y) 1)) (+ x 1))>
#<alt (+ (/ x y) 1)>
#<alt (/ x y)>
#<alt (+ x 1)>
Outputs
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

27 calls:

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

rewrite597.0ms (5.8%)

Memory
32.0MiB live, 421.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 588×*-lowering-*.f32
3 588×*-lowering-*.f64
3 312×/-lowering-/.f32
3 312×/-lowering-/.f64
3 296×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
15729
245029
3706529
0804127
Stop Event
1×iter limit
1×node limit
Counts
5 → 397
Calls
Call 1
Inputs
(* x (+ (/ x y) 1))
(/ (* x (+ (/ x y) 1)) (+ x 1))
(+ (/ x y) 1)
(/ x y)
(+ x 1)
Outputs
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 (/.f64 (*.f64 x x) y) x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x y) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(fma.f64 x (/.f64 x y) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) x x)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 x x) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) x) y) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) y))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) y) x)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 x y) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y) x)
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x y) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) (-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) y))))
(/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x x)) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) x) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x x))) (neg.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 x (/.f64 (*.f64 x x) y)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
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(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.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 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))

simplify961.0ms (9.3%)

Memory
-132.9MiB live, 1 192.7MiB allocated
Algorithm
1×egg-herbie
Rules
21 530×accelerator-lowering-fma.f32
21 530×accelerator-lowering-fma.f64
4 414×*-lowering-*.f32
4 414×*-lowering-*.f64
3 134×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090745
1250724
2660648
33422635
09168612
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
x
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x x))))))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) x)) x)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.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
(* 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))

eval62.0ms (0.6%)

Memory
-19.8MiB live, 185.3MiB allocated
Compiler

Compiled 10 970 to 1 192 computations (89.1% saved)

prune63.0ms (0.6%)

Memory
5.3MiB live, 202.8MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New49312505
Fresh000
Picked101
Done000
Total49412506
Accuracy
100.0%
Counts
506 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.6%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
59.2%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
86.0%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x) (+.f64 x #s(literal 1 binary64)))
45.0%
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
▶93.4%
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
41.6%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
▶59.3%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
91.7%
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶46.8%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
41.0%
(/.f64 x y)
52.0%
(*.f64 x (/.f64 x (fma.f64 x y y)))
▶37.8%
x
Compiler

Compiled 240 to 146 computations (39.2% saved)

simplify651.0ms (6.3%)

Memory
9.9MiB live, 405.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓cost-diff128
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓cost-diff704
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓cost-diff512
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
Rules
5 138×accelerator-lowering-fma.f32
5 138×accelerator-lowering-fma.f64
2 772×*-lowering-*.f32
2 772×*-lowering-*.f64
2 056×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01789
15387
211287
320687
434587
560587
685887
7162787
8296087
9567887
0826684
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (/ x (+ x 1)) (+ x y)) y)
(* (/ x (+ x 1)) (+ x y))
(/ x (+ x 1))
x
(+ x 1)
1
(+ x y)
y
x
(/ x (+ x 1))
x
(+ x 1)
1
(+ (* (/ 1 y) (+ x -1)) 1)
(/ 1 y)
1
y
(+ x -1)
x
-1
(/ (* x (+ (/ x y) 1)) 1)
(* x (+ (/ x y) 1))
x
(+ (/ x y) 1)
(/ x y)
y
1
Outputs
(/ (* (/ x (+ x 1)) (+ x y)) y)
(fma.f64 (+.f64 x y) (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(* (/ x (+ x 1)) (+ x y))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y) #s(literal 0 binary64))
(/ x (+ x 1))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ x y)
(+.f64 x y)
y
x
(/ x (+ x 1))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (* (/ 1 y) (+ x -1)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(/ (* x (+ (/ x y) 1)) 1)
(fma.f64 x (/.f64 x y) x)
(* x (+ (/ x y) 1))
(fma.f64 x (/.f64 x y) x)
x
(+ (/ x y) 1)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
y
1
#s(literal 1 binary64)

localize104.0ms (1%)

Memory
-6.1MiB live, 112.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
✓accuracy93.4%
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
Samples
62.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 92 to 19 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 15.0ms (52.8% of total)
ival-div: 8.0ms (28.1% of total)
ival-mult: 4.0ms (14.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
12 → 240
Calls
Call 1
Inputs
#<alt (/ (* (/ x (+ x 1)) (+ x y)) y)>
#<alt (/ x (+ x 1))>
#<alt (+ x 1)>
#<alt (+ x y)>
#<alt (+ (* (/ 1 y) (+ x -1)) 1)>
#<alt (/ 1 y)>
#<alt (+ x -1)>
#<alt (/ (* x (+ (/ x y) 1)) 1)>
#<alt (* x (+ (/ x y) 1))>
#<alt (+ (/ x y) 1)>
#<alt (/ x y)>
#<alt (* (/ x (+ x 1)) (+ x y))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 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>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* x y)>
#<alt (* x (+ y (* x (- 1 y))))>
#<alt (* x (+ y (* x (- (+ 1 (* x (- y 1))) y))))>
#<alt (* x (+ y (* x (- (+ 1 (* x (- (+ y (* x (- 1 y))) 1))) y))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ 1 x)))>
#<alt (* x (- (+ 1 (+ (/ 1 (pow x 2)) (/ y x))) (+ (/ 1 x) (/ y (pow x 2)))))>
#<alt (* x (- (+ 1 (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 3))))) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ y (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1)))>
#<alt (/ (pow x 2) (+ 1 x))>
#<alt (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))>
#<alt (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))>
#<alt (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))>
#<alt (/ (* x y) (+ 1 x))>
#<alt (* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))>
#<alt (* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))>
#<alt (* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))>
#<alt (/ (* x y) (+ 1 x))>
#<alt (* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(/ (* (/ x (+ x 1)) (+ x y)) y)
1.0ms
y
@inf
(/ (* (/ x (+ x 1)) (+ x y)) y)
0.0ms
y
@0
(/ (* (/ x (+ x 1)) (+ x y)) y)
0.0ms
x
@-inf
(+ (* (/ 1 y) (+ x -1)) 1)
0.0ms
x
@-inf
(* (/ x (+ x 1)) (+ x y))

rewrite430.0ms (4.2%)

Memory
-6.2MiB live, 670.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 060×accelerator-lowering-fma.f32
5 060×accelerator-lowering-fma.f64
4 512×/-lowering-/.f32
4 512×/-lowering-/.f64
3 958×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01768
113266
2117466
0861364
Stop Event
1×iter limit
1×node limit
Counts
12 → 778
Calls
Call 1
Inputs
(/ (* (/ x (+ x 1)) (+ x y)) y)
(/ x (+ x 1))
(+ x 1)
(+ x y)
(+ (* (/ 1 y) (+ x -1)) 1)
(/ 1 y)
(+ x -1)
(/ (* x (+ (/ x y) 1)) 1)
(* x (+ (/ x y) 1))
(+ (/ x y) 1)
(/ x y)
(* (/ x (+ x 1)) (+ x y))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (*.f64 x (+.f64 x y))) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) (-.f64 #s(literal -1 binary64) x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) (-.f64 #s(literal -1 binary64) x)) y))
(neg.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) (-.f64 #s(literal -1 binary64) x)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x (+.f64 x y))) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (*.f64 x (+.f64 x y))) (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 x (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 x (+.f64 x y)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (+.f64 x y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 (+.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (+.f64 x y)) y)))
(/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 y (+.f64 x y)))
(/.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (*.f64 x (+.f64 x y))) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 x (+.f64 x y)) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(/.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 x y) y) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x y)) (*.f64 (-.f64 #s(literal -1 binary64) x) y))
(/.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x y))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x y))) (neg.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x y) y)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x y))) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (*.f64 x (/.f64 (+.f64 x y) y))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 (+.f64 x y) y)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x y) y))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 x y)) y)) (-.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 (/.f64 y (*.f64 x (+.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x y) y)))
(*.f64 x (/.f64 (/.f64 (+.f64 x y) y) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (*.f64 (+.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) (-.f64 #s(literal -1 binary64) x)) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (*.f64 x (+.f64 x y))) (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 x y) (/.f64 (+.f64 x y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (/.f64 (/.f64 (+.f64 x y) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x y) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) y)))
(*.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))))
(*.f64 (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x y) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x y) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (+.f64 x y) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y) (/.f64 (+.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x y) (+.f64 x #s(literal 1 binary64))) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y (*.f64 x (+.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) y))
(*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) y) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) y) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 (+.f64 x y) y))
(*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x (+.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y (*.f64 x (+.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
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(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x y))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x y))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x y))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) (*.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y))))))
(*.f64 (*.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x (*.f64 (-.f64 #s(literal 0 binary64) x) y)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (-.f64 #s(literal 0 binary64) x) y)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 x #s(literal 1 binary64))) x)
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))

simplify490.0ms (4.7%)

Memory
7.3MiB live, 729.9MiB allocated
Algorithm
1×egg-herbie
Rules
16 954×accelerator-lowering-fma.f32
16 954×accelerator-lowering-fma.f64
5 160×*-lowering-*.f32
5 160×*-lowering-*.f64
3 362×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01961750
15911683
216391434
080881378
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) 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 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)))
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x y)
(* x (+ y (* x (- 1 y))))
(* x (+ y (* x (- (+ 1 (* x (- y 1))) y))))
(* x (+ y (* x (- (+ 1 (* x (- (+ y (* x (- 1 y))) 1))) y))))
x
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (/ y x))) (+ (/ 1 x) (/ y (pow x 2)))))
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 3))))) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ y (pow x 2))))))
x
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1)))
(/ (pow x 2) (+ 1 x))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(/ (* x y) (+ 1 x))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(/ (* x y) (+ 1 x))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y)))) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x y)))))) (/.f64 #s(literal -1 binary64) y)))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x))) x) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) x)) x) (/.f64 x y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* x (- x 1))))
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.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
(* 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))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- 1 (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) 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))
x
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* x y)
(*.f64 x y)
(* x (+ y (* x (- 1 y))))
(*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))
(* x (+ y (* x (- (+ 1 (* x (- y 1))) y))))
(*.f64 x (fma.f64 x (fma.f64 x (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) y))
(* x (+ y (* x (- (+ 1 (* x (- (+ y (* x (- 1 y))) 1))) y))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) y))
x
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (/ y x))) (+ (/ 1 x) (/ y (pow x 2)))))
(+.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y)))
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 3))))) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ y (pow x 2))))))
(+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x)))) #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y)) (/.f64 y (*.f64 x x))))
x
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1)))
(fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x)))) x) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1)))
(fma.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x)))) x))) x) x)
(/ (pow x 2) (+ 1 x))
(/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
(/ (* x y) (+ 1 x))
(/.f64 (*.f64 x y) (+.f64 x #s(literal 1 binary64)))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/ (* x y) (+ 1 x))
(/.f64 (*.f64 x y) (+.f64 x #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))

eval138.0ms (1.3%)

Memory
16.5MiB live, 282.9MiB allocated
Compiler

Compiled 20 063 to 2 408 computations (88% saved)

prune128.0ms (1.2%)

Memory
-21.8MiB live, 300.7MiB allocated
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1 117111 128
Fresh527
Picked325
Done000
Total1 125151 140
Accuracy
100.0%
Counts
1 140 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.3%
(fma.f64 (/.f64 x y) x x)
57.3%
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
▶49.6%
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
▶89.9%
(/.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
40.5%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
46.3%
(/.f64 (*.f64 x x) (fma.f64 x y y))
23.6%
(/.f64 (*.f64 x x) y)
✓46.8%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
41.0%
(/.f64 x y)
▶11.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
59.3%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
▶52.0%
(*.f64 x (/.f64 x (fma.f64 x y y)))
42.7%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓37.8%
x
▶12.3%
#s(literal 1 binary64)
Compiler

Compiled 220 to 139 computations (36.8% saved)

simplify338.0ms (3.3%)

Memory
14.6MiB live, 529.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x (/.f64 x (fma.f64 x y y)))
✓cost-diff0
(fma.f64 x y y)
✓cost-diff0
(/.f64 x (fma.f64 x y y))
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(+.f64 y (+.f64 x #s(literal -1 binary64)))
✓cost-diff0
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
✓cost-diff0
(/.f64 #s(literal -1 binary64) x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓cost-diff0
(+.f64 x y)
✓cost-diff128
(/.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
✓cost-diff320
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)
Rules
7 494×accelerator-lowering-fma.f32
7 494×accelerator-lowering-fma.f64
6 060×*-lowering-*.f32
6 060×*-lowering-*.f64
2 798×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01885
13785
25985
38685
411385
518985
624081
735681
892579
9285679
10307079
11331579
12401679
13499279
14613379
15742679
0831377
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ x y) (* (/ (+ x 1) x) y))
(+ x y)
x
y
(* (/ (+ x 1) x) y)
(/ (+ x 1) x)
(+ x 1)
1
1
(+ 1 (/ -1 x))
1
(/ -1 x)
-1
x
(/ (+ y (+ x -1)) y)
(+ y (+ x -1))
y
(+ x -1)
x
-1
(* x (/ x (+ (* x y) y)))
x
(/ x (+ (* x y) y))
(+ (* x y) y)
y
Outputs
(/ (+ x y) (* (/ (+ x 1) x) y))
(/.f64 (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x y y))
(+ x y)
(+.f64 x y)
x
y
(* (/ (+ x 1) x) y)
(+.f64 y (/.f64 y x))
(/ (+ x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(+ 1 (/ -1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
1
#s(literal 1 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(/ (+ y (+ x -1)) y)
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ y (+ x -1))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
y
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(* x (/ x (+ (* x y) y)))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x y y))
x
(/ x (+ (* x y) y))
(/.f64 x (fma.f64 x y y))
(+ (* x y) y)
(fma.f64 x y y)
y

localize56.0ms (0.5%)

Memory
-19.1MiB live, 98.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x y y)
✓accuracy99.8%
(*.f64 x (/.f64 x (fma.f64 x y y)))
✓accuracy91.9%
(/.f64 x (fma.f64 x y y))
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
✓accuracy100.0%
(+.f64 y (+.f64 x #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy99.8%
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)
✓accuracy90.0%
(/.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
Samples
33.0ms255×0valid
2.0ms1×1valid
Compiler

Compiled 84 to 20 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-add: 8.0ms (35.1% of total)
ival-div: 8.0ms (35.1% of total)
ival-mult: 6.0ms (26.3% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
13 → 252
Calls
Call 1
Inputs
#<alt (* (/ (+ x 1) x) y)>
#<alt (/ (+ x y) (* (/ (+ x 1) x) y))>
#<alt (+ x y)>
#<alt (/ (+ x 1) x)>
#<alt (+ 1 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (/ (+ y (+ x -1)) y)>
#<alt (+ y (+ x -1))>
#<alt (+ x -1)>
#<alt (/ x (+ (* x y) y))>
#<alt (+ (* x y) y)>
#<alt (* x (/ x (+ (* x y) y)))>
#<alt (+ x 1)>
Outputs
#<alt (/ y x)>
#<alt (/ (+ y (* x y)) x)>
#<alt (/ (+ y (* x y)) x)>
#<alt (/ (+ y (* x y)) x)>
#<alt y>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt y>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ (- y 1) y)>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (- x 1)>
#<alt (- (+ x y) 1)>
#<alt (- (+ x y) 1)>
#<alt (- (+ x y) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ x y)) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))>
#<alt (- y 1)>
#<alt (- (+ x y) 1)>
#<alt (- (+ x y) 1)>
#<alt (- (+ x y) 1)>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ 1 x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ 1 x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x y)))>
#<alt (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ x (* y (- (* -1 x) 1))))>
#<alt y>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

63 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ (+ y (+ x -1)) y)
1.0ms
y
@-inf
(/ x (+ (* x y) y))
1.0ms
y
@0
(* x (/ x (+ (* x y) y)))
0.0ms
x
@-inf
(* (/ (+ x 1) x) y)
0.0ms
y
@-inf
(* x (/ x (+ (* x y) y)))

rewrite511.0ms (5%)

Memory
21.8MiB live, 406.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 304×accelerator-lowering-fma.f32
5 304×accelerator-lowering-fma.f64
4 382×/-lowering-/.f32
4 382×/-lowering-/.f64
3 726×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01873
112973
2111373
0849168
Stop Event
1×iter limit
1×node limit
Counts
13 → 850
Calls
Call 1
Inputs
(* (/ (+ x 1) x) y)
(/ (+ x y) (* (/ (+ x 1) x) y))
(+ x y)
(/ (+ x 1) x)
(+ 1 (/ -1 x))
(/ -1 x)
(/ (+ y (+ x -1)) y)
(+ y (+ x -1))
(+ x -1)
(/ x (+ (* x y) y))
(+ (* x y) y)
(* x (/ x (+ (* x y) y)))
(+ x 1)
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) x))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x #s(literal -1 binary64)))) x) (/.f64 (/.f64 (*.f64 y y) (*.f64 y (+.f64 x #s(literal -1 binary64)))) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 y (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 y y) (*.f64 x (*.f64 y (+.f64 x #s(literal -1 binary64))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 x y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y (fma.f64 x (*.f64 x y) (*.f64 y (-.f64 #s(literal 1 binary64) x))))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y (+.f64 x #s(literal -1 binary64)))) (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y)))))
(/.f64 y (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 x y y) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) x))))
(/.f64 (fma.f64 x y y) x)
(/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 y (fma.f64 x (*.f64 x y) (*.f64 y (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y))) (*.f64 x (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 x (*.f64 y (fma.f64 x (*.f64 x y) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x y) x))) (neg.f64 (*.f64 x (*.f64 y (+.f64 x #s(literal -1 binary64))))))
(pow.f64 (/.f64 (fma.f64 x y y) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (fma.f64 x y y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) x))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)
(*.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x y y) x) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x y y) x) (/.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (*.f64 y (+.f64 x #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x y y) #s(literal -1 binary64)))
(*.f64 (fma.f64 x y y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 x (*.f64 x y) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x y y))
(*.f64 (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 x #s(literal -1 binary64))))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 y x) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 y x) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x y) (*.f64 y (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y))) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) x))
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x y) (*.f64 y (-.f64 #s(literal 1 binary64) x))))) x))
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64)))) x))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 y x))
(*.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x y) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) x) (/.f64 (fma.f64 x y y) (*.f64 y (fma.f64 x (*.f64 x y) (*.f64 y (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 y (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
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(fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(fma.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y)))) (*.f64 (*.f64 x y) (/.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y))))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x (*.f64 y y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y)))) (*.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y)))) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y)))) (*.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y)))) (*.f64 y #s(literal -1 binary64))))
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(neg.f64 (*.f64 x (/.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) x)))))
(neg.f64 (/.f64 (*.f64 x x) (*.f64 y (-.f64 #s(literal -1 binary64) x))))
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(/.f64 x (/.f64 (fma.f64 x y y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x y y) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x y y) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y y) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) x))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y (-.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 (fma.f64 x y y) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 x y y))))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) x))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x y y)))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y (fma.f64 x (*.f64 x y) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y)))) (*.f64 y (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x y) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (/.f64 x (*.f64 y (fma.f64 (*.f64 x y) x (-.f64 #s(literal 0 binary64) y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))

simplify539.0ms (5.2%)

Memory
-17.2MiB live, 375.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 570×accelerator-lowering-fma.f32
9 570×accelerator-lowering-fma.f64
3 252×*-lowering-*.f32
3 252×*-lowering-*.f64
2 442×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841808
15341733
215071524
354271452
081581394
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(/ y x)
(/ (+ y (* x y)) x)
(/ (+ y (* x y)) x)
(/ (+ y (* x y)) x)
y
(+ y (/ y x))
(+ y (/ y x))
(+ y (/ y x))
y
(+ y (/ y x))
(+ y (/ y x))
(+ y (/ y x))
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(/ -1 x)
(/ (- x 1) x)
(/ (- x 1) x)
(/ (- x 1) x)
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ (- y 1) y)
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(- x 1)
(- (+ x y) 1)
(- (+ x y) 1)
(- (+ x y) 1)
y
(* y (- (+ 1 (/ x y)) (/ 1 y)))
(* y (- (+ 1 (/ x y)) (/ 1 y)))
(* y (- (+ 1 (/ x y)) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
(- y 1)
(- (+ x y) 1)
(- (+ x y) 1)
(- (+ x y) 1)
x
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(* x (- (+ 1 (/ y x)) (/ 1 x)))
x
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
(/ y x)
(/.f64 y x)
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
y
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
y
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (+.f64 (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y x))) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) (*.f64 x x)) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y x)))) x) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y x))) x) (/.f64 #s(literal -1 binary64) y))) x) (/.f64 x y))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 y x)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- y 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (+ x y) 1)
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(- (+ x y) 1)
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(- (+ x y) 1)
(+.f64 x (+.f64 y #s(literal -1 binary64)))
y
(* y (- (+ 1 (/ x y)) (/ 1 y)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (- (+ 1 (/ x y)) (/ 1 y)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (- (+ 1 (/ x y)) (/ 1 y)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
y
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ x y) 1)
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(- (+ x y) 1)
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(- (+ x y) 1)
(+.f64 x (+.f64 y #s(literal -1 binary64)))
x
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
(+.f64 x (+.f64 y #s(literal -1 binary64)))
-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))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(*.f64 x (fma.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(*.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x y)))
(/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y x))) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) (*.f64 x x)) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x y)))
(/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y x))) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) (*.f64 x x)) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 y x y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 y x y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 y x y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 y x y))
y
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(/ (pow x 2) y)
(fma.f64 x (/.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(*.f64 x (*.f64 x (fma.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y))))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y x)))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y x)))))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 y x y)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.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
(* 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))

eval202.0ms (2%)

Memory
43.8MiB live, 195.6MiB allocated
Compiler

Compiled 19 051 to 2 436 computations (87.2% saved)

prune214.0ms (2.1%)

Memory
-45.9MiB live, 183.1MiB allocated
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1 09841 102
Fresh088
Picked325
Done022
Total1 101161 117
Accuracy
100.0%
Counts
1 117 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.3%
(fma.f64 (/.f64 x y) x x)
57.3%
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
▶49.7%
(/.f64 (+.f64 y x) y)
49.4%
(/.f64 (+.f64 x y) (/.f64 y x))
40.5%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
46.3%
(/.f64 (*.f64 x x) (fma.f64 x y y))
▶23.6%
(/.f64 (*.f64 x x) y)
✓46.8%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
▶41.0%
(/.f64 x y)
2.4%
(/.f64 #s(literal -1 binary64) x)
59.3%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
✓52.0%
(*.f64 x (/.f64 x (fma.f64 x y y)))
25.1%
(*.f64 x (/.f64 x y))
▶42.7%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓37.8%
x
✓12.3%
#s(literal 1 binary64)
Compiler

Compiled 205 to 125 computations (39% saved)

simplify308.0ms (3%)

Memory
-13.4MiB live, 259.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) y)
✓cost-diff0
(+.f64 y x)
✓cost-diff0
(/.f64 (+.f64 y x) y)
✓cost-diff0
(/.f64 x y)
✓cost-diff-64
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(fma.f64 (/.f64 x y) x x)
Rules
2 496×accelerator-lowering-fma.f32
2 496×accelerator-lowering-fma.f64
2 176×*-lowering-*.f32
2 176×*-lowering-*.f64
1 912×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
12247
23447
34447
48947
512447
616447
726247
837847
948747
1070647
11113547
12134047
13169047
14199147
15223247
16287047
17370247
18424347
19441447
20444547
21446747
22507547
23541147
24567147
25596547
26597147
27597747
28598947
29598947
30758147
31789547
0806646
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (/ x y) x) x)
(/ x y)
x
y
(* x (- 1 x))
x
(- 1 x)
1
(/ x y)
x
y
(/ (+ y x) y)
(+ y x)
y
x
(/ (* x x) y)
(* x x)
x
y
Outputs
(+ (* (/ x y) x) x)
(fma.f64 x (/.f64 x y) x)
(/ x y)
(/.f64 x y)
x
y
(* x (- 1 x))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
x
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ x y)
(/.f64 x y)
x
y
(/ (+ y x) y)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ y x)
(+.f64 x y)
y
x
(/ (* x x) y)
(fma.f64 x (/.f64 x y) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
y

localize39.0ms (0.4%)

Memory
6.7MiB live, 83.1MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy91.9%
(/.f64 (*.f64 x x) y)
✓accuracy100.0%
(+.f64 y x)
✓accuracy100.0%
(/.f64 (+.f64 y x) y)
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.9%
(fma.f64 (/.f64 x y) x x)
Samples
24.0ms256×0valid
Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 5.0ms (36.2% of total)
ival-mult: 5.0ms (36.2% of total)
ival-add: 2.0ms (14.5% of total)
ival-sub: 1.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
8 → 156
Calls
Call 1
Inputs
#<alt (+ (* (/ x y) x) x)>
#<alt (/ x y)>
#<alt (- 1 x)>
#<alt (* x (- 1 x))>
#<alt (/ (+ y x) y)>
#<alt (+ y x)>
#<alt (/ (* x x) y)>
#<alt (* x x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

39 calls:

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

rewrite337.0ms (3.3%)

Memory
8.5MiB live, 569.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 256×accelerator-lowering-fma.f32
5 256×accelerator-lowering-fma.f64
4 022×*-lowering-*.f32
4 022×*-lowering-*.f64
3 484×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
17234
254934
3749234
0831233
Stop Event
1×iter limit
1×node limit
Counts
8 → 478
Calls
Call 1
Inputs
(+ (* (/ x y) x) x)
(/ x y)
(- 1 x)
(* x (- 1 x))
(/ (+ y x) y)
(+ y x)
(/ (* x x) y)
(* x x)
Outputs
(+.f64 x (*.f64 x (/.f64 x y)))
(+.f64 (*.f64 x (/.f64 x y)) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 y y))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 x (/.f64 x y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 x y)))
(fma.f64 x (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 (/.f64 x y) x x)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x (*.f64 x (/.f64 x y))) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 (*.f64 x (/.f64 x y)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 x (/.f64 x y)) (/.f64 (*.f64 x (/.f64 x y)) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x y)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) y)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (/.f64 x y))) (/.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x (/.f64 x y)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x y))) x)
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
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(*.f64 x x)
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(*.f64 (*.f64 x x) #s(literal 1 binary64))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
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simplify296.0ms (2.9%)

Memory
13.0MiB live, 565.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 788×accelerator-lowering-fma.f32
7 788×accelerator-lowering-fma.f64
4 672×*-lowering-*.f32
4 672×*-lowering-*.f64
1 634×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043638
1123620
2246620
3943620
43566620
57544620
08283602
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
x
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 x (/.f64 x y) x)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 x (/.f64 x y) x)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* -1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x (+ 1 (* -1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x (+ 1 (* -1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval81.0ms (0.8%)

Memory
5.6MiB live, 203.3MiB allocated
Compiler

Compiled 10 927 to 1 152 computations (89.5% saved)

prune97.0ms (0.9%)

Memory
-13.7MiB live, 198.5MiB allocated
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New6756681
Fresh437
Picked145
Done044
Total68017697
Accuracy
100.0%
Counts
697 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓59.3%
(fma.f64 (/.f64 x y) x x)
✓49.7%
(/.f64 (+.f64 y x) y)
40.5%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
46.3%
(/.f64 (*.f64 x x) (fma.f64 x y y))
✓23.6%
(/.f64 (*.f64 x x) y)
25.1%
(/.f64 x (/.f64 y x))
✓46.8%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓41.0%
(/.f64 x y)
2.4%
(/.f64 #s(literal -1 binary64) x)
42.7%
(-.f64 x (*.f64 x x))
59.3%
(+.f64 (*.f64 x (/.f64 x y)) x)
25.1%
(*.f64 (/.f64 x y) x)
23.5%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
✓52.0%
(*.f64 x (/.f64 x (fma.f64 x y y)))
9.2%
(*.f64 x (-.f64 #s(literal 0 binary64) x))
✓37.8%
x
✓12.3%
#s(literal 1 binary64)
Compiler

Compiled 349 to 132 computations (62.2% saved)

regimes39.0ms (0.4%)

Memory
-8.5MiB live, 68.6MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/.f64 (+.f64 y x) y)
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(fma.f64 (/.f64 x y) x x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(+.f64 (*.f64 x (/.f64 x y)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (+.f64 x y) (/.f64 y x))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(+.f64 (*.f64 x (/.f64 x y)) x)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
Calls

3 calls:

16.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
11.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
100.0%3x
99.8%3y
99.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes26.0ms (0.2%)

Memory
-4.3MiB live, 37.5MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/.f64 (+.f64 y x) y)
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(fma.f64 (/.f64 x y) x x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(+.f64 (*.f64 x (/.f64 x y)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (+.f64 x y) (/.f64 y x))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
Calls

2 calls:

15.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
9.0ms
x
Results
AccuracySegmentsBranch
99.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
99.9%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes49.0ms (0.5%)

Memory
25.4MiB live, 64.8MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/.f64 (+.f64 y x) y)
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(fma.f64 (/.f64 x y) x x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(+.f64 (*.f64 x (/.f64 x y)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (+.f64 x y) (/.f64 y x))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
Calls

3 calls:

30.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
9.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
80.7%3y
97.9%5(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
99.0%3x
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes8.0ms (0.1%)

Memory
-18.6MiB live, 20.3MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/.f64 (+.f64 y x) y)
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(fma.f64 (/.f64 x y) x x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(+.f64 (*.f64 x (/.f64 x y)) x)
Outputs
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(+.f64 (*.f64 x (/.f64 x y)) x)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/.f64 (+.f64 y x) y)
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(fma.f64 (/.f64 x y) x x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
Outputs
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(fma.f64 (/.f64 x y) x x)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-6.6MiB live, 32.3MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/.f64 (+.f64 y x) y)
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
Outputs
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 y x) y)
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
84.8%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
84.8%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes12.0ms (0.1%)

Memory
-16.1MiB live, 24.9MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/.f64 (+.f64 y x) y)
(*.f64 x (/.f64 x y))
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
Outputs
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 y x) y)
Calls

2 calls:

7.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
5.0ms
x
Results
AccuracySegmentsBranch
84.3%3x
84.7%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
Outputs
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x y)
Calls

2 calls:

4.0ms
x
4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
75.4%3x
84.2%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes5.0ms (0%)

Memory
-27.2MiB live, 12.2MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 x y)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x y)
Calls

1 calls:

4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
84.0%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
8 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
Outputs
(/.f64 x y)
(-.f64 x (*.f64 x x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x y)
Calls

1 calls:

3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
83.6%4(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes3.0ms (0%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
7 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
Outputs
(/.f64 x y)
(-.f64 x (*.f64 x x))
#s(literal 1 binary64)
(/.f64 x y)
Calls

1 calls:

3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
83.6%4(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes10.0ms (0.1%)

Memory
-16.5MiB live, 22.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
Outputs
(-.f64 x (*.f64 x x))
#s(literal 1 binary64)
Calls

3 calls:

4.0ms
y
3.0ms
x
3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
48.4%3x
42.7%1y
52.8%2(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes3.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
52.8%2(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes2.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
Outputs
(*.f64 x (-.f64 #s(literal 0 binary64) x))
x
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
52.6%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
Outputs
x
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
46.2%3x
46.9%2(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory
-22.0MiB live, 14.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

3 calls:

4.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
12.3%1y
12.3%1x
12.3%1(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch19.0ms (0.2%)

Memory
7.7MiB live, 49.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
4.0ms
2.0123789875290985e-25
6.249296008729644e-21
13.0ms
-6.782500031205575e-13
-1.2209436521602268e-17
Samples
12.0ms176×0valid
Compiler

Compiled 280 to 178 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 4.0ms (51.1% of total)
ival-div: 2.0ms (25.6% of total)
ival-mult: 1.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
-9.2MiB live, 69.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
42853061353137.25
1208202034064846.8
13.0ms
-1107194576567310.4
-6292763611.58401
Samples
14.0ms256×0valid
Compiler

Compiled 400 to 269 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.7% of total)
ival-add: 2.0ms (24.4% of total)
ival-mult: 2.0ms (24.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Memory
-21.9MiB live, 78.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.10944802715136402
75315.87854977616
14.0ms
-2945881608.139963
-0.0154041734077871
Samples
17.0ms304×0valid
Compiler

Compiled 415 to 260 computations (37.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (43% of total)
ival-add: 3.0ms (32.2% of total)
ival-mult: 2.0ms (21.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
29.9MiB live, 69.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.10944802715136402
75315.87854977616
14.0ms
-2945881608.139963
-0.0154041734077871
Samples
17.0ms304×0valid
Compiler

Compiled 396 to 260 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (42.6% of total)
ival-add: 3.0ms (32% of total)
ival-mult: 2.0ms (21.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
-22.9MiB live, 54.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.10944802715136402
75315.87854977616
14.0ms
-2945881608.139963
-0.0154041734077871
Samples
17.0ms304×0valid
Compiler

Compiled 377 to 241 computations (36.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (48.1% of total)
ival-add: 3.0ms (28.9% of total)
ival-mult: 2.0ms (19.2% 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
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999767
0.9999999999999933
0.0ms
-17927471513026.598
-443659.75352633244
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999767
0.9999999999999933
0.0ms
-17927471513026.598
-443659.75352633244
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
15.768005037657563
130.90352747131243
0.0ms
-17927471513026.598
-443659.75352633244
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
15.768005037657563
130.90352747131243
0.0ms
-443659.75352633244
-0.015645174387040134
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
15.768005037657563
130.90352747131243
0.0ms
8.65823556992162e-8
0.9999999999999767
0.0ms
-443659.75352633244
-0.015645174387040134
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
15.768005037657563
130.90352747131243
0.0ms
8.65823556992162e-8
0.9999999999999767
0.0ms
-443659.75352633244
-0.015645174387040134
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.65823556992162e-8
0.9999999999999767
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.65823556992162e-8
0.9999999999999767
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.65823556992162e-8
0.9999999999999767
0.0ms
-7.42354869387352e+25
-17927471513026.598
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.65823556992162e-8
0.9999999999999767
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify17.0ms (0.2%)

Memory
-12.2MiB live, 29.2MiB allocated
Algorithm
1×egg-herbie
Rules
24×+-commutative_binary64
14×*-commutative_binary64
12×if-if-or-not_binary32
10×sub-neg_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083492
1122492
2129492
3132492
4133492
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -7301667457314601/162259276829213363391578010288128 binary64)) (/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) (if (<=.f64 x #s(literal 5316911983139663/10633823966279326983230456482242756608 binary64)) (+.f64 (*.f64 x (/.f64 x y)) x) (/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)))
(if (<=.f64 x #s(literal -600000000000000 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 1120000000000000 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 (*.f64 x (/.f64 x y)) x) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 5/4 binary64)) (fma.f64 (/.f64 x y) x x) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000000 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2251799813685203/2251799813685248 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y x) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000000 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2251799813685203/2251799813685248 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y x) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000000 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -400000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -400000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -400000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (-.f64 x (*.f64 x x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -50000000000000002382364672 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(if (<=.f64 x #s(literal -7301667457314601/162259276829213363391578010288128 binary64)) (/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) (if (<=.f64 x #s(literal 5316911983139663/10633823966279326983230456482242756608 binary64)) (+.f64 (*.f64 x (/.f64 x y)) x) (/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)))
(if (<=.f64 x #s(literal -7301667457314601/162259276829213363391578010288128 binary64)) (/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) (if (<=.f64 x #s(literal 5316911983139663/10633823966279326983230456482242756608 binary64)) (+.f64 x (*.f64 x (/.f64 x y))) (/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)))
(if (<=.f64 x #s(literal -600000000000000 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 1120000000000000 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -600000000000000 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 1120000000000000 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 (*.f64 x (/.f64 x y)) x) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 x (*.f64 x (/.f64 x y))) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 5/4 binary64)) (fma.f64 (/.f64 x y) x x) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000000 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2251799813685203/2251799813685248 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y x) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000000 binary64)) (/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2251799813685203/2251799813685248 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x y) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000000 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2251799813685203/2251799813685248 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y x) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000000 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2251799813685203/2251799813685248 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x y) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000000 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000000 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -400000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -400000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -400000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -400000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -400000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -400000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 20 binary64)) #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (-.f64 x (*.f64 x x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (-.f64 x (*.f64 x x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -50000000000000002382364672 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -50000000000000002382364672 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 944473296573929/9444732965739290427392 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.6s (15.5%)

Memory
56.2MiB live, 1 108.2MiB allocated
Rules
21 530×accelerator-lowering-fma.f32
21 530×accelerator-lowering-fma.f64
16 954×accelerator-lowering-fma.f32
16 954×accelerator-lowering-fma.f64
9 570×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043638
1123620
2246620
3943620
43566620
57544620
08283602
090745
1250724
2660648
33422635
09168612
01961750
15911683
216391434
080881378
01841808
15341733
215071524
354271452
081581394
01234
17234
254934
3749234
0831233
01768
113266
2117466
0861364
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 036 to 422 computations (59.3% saved)

preprocess172.0ms (1.7%)

Memory
-36.8MiB live, 290.8MiB allocated
Compiler

Compiled 1 118 to 196 computations (82.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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