Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

Time bar (total: 8.0s)

analyze26.0ms (0.3%)

Memory
-19.7MiB live, 59.8MiB 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)

sample1.1s (14.3%)

Memory
35.2MiB live, 1 365.9MiB allocated
Samples
840.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 612.0ms
ival-add: 268.0ms (43.8% of total)
ival-div: 205.0ms (33.5% of total)
ival-mult: 125.0ms (20.4% of total)
ival-true: 6.0ms (1% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess168.0ms (2.1%)

Memory
14.2MiB live, 58.1MiB allocated
Algorithm
1×egg-herbie
Rules
2 086×div-sub
1 020×unsub-neg
896×sub-neg
818×distribute-lft-in
792×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02265
18157
220755
368055
4165455
5310955
6444755
7505355
8560955
9605555
10615155
11665355
12706155
13728155
14759355
15781755
16782555
17782555
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)))

explain105.0ms (1.3%)

Memory
-45.0MiB live, 245.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(/.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/n340
↳(/.f64 x y)overflow33
↳(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))overflow67
↳(+.f64 (/.f64 x y) #s(literal 1 binary64))overflow33
Confusion
Predicted +Predicted -
+340
-0222
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3400
-00222
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0222
134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 94 to 36 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (42.3% of total)
ival-add: 5.0ms (30.2% of total)
ival-mult: 3.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.6%
(/.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)

simplify16.0ms (0.2%)

Memory
27.4MiB live, 27.4MiB 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))

localize36.0ms (0.4%)

Memory
-10.7MiB live, 30.0MiB 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)))
✓accuracy87.6%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Samples
26.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 15.0ms (78.8% of total)
ival-add: 2.0ms (10.5% of total)
ival-mult: 2.0ms (10.5% 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
8.9MiB live, 8.9MiB 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))
1.0ms
x
@0
(* x (+ (/ x y) 1))
0.0ms
y
@0
(* x (+ (/ x y) 1))

rewrite266.0ms (3.3%)

Memory
-9.1MiB live, 374.0MiB 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) (neg.f64 (fma.f64 x (/.f64 x y) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (-.f64 (/.f64 (*.f64 x x) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) y) x)))
(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 (neg.f64 x) (/.f64 (neg.f64 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) (neg.f64 x) (/.f64 (*.f64 x x) y))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 x) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) x)
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y) x)
(neg.f64 (neg.f64 (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 (/.f64 (*.f64 x x) y) x) (-.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 (/.f64 (*.f64 x x) y) x))
(/.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 (neg.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (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 (/.f64 (*.f64 x x) y) x))
(/.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 (/.f64 (*.f64 x x) y) x)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) (neg.f64 (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 (neg.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(pow.f64 (/.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))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)))
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(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (neg.f64 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 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.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 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (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)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.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))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.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)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.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 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 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) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (-.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) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (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) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #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 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (fma.f64 x (neg.f64 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) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (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 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.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))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))

simplify543.0ms (6.8%)

Memory
18.3MiB live, 824.9MiB 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))))
(fma.f64 (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (+.f64 (/.f64 x y) (*.f64 x (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x)
(/ 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 (neg.f64 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 (neg.f64 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))

eval60.0ms (0.8%)

Memory
22.5MiB live, 132.7MiB allocated
Compiler

Compiled 10 869 to 1 191 computations (89% saved)

prune60.0ms (0.7%)

Memory
-5.3MiB live, 155.7MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4969505
Fresh000
Picked101
Done000
Total4979506
Accuracy
100.0%
Counts
506 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.1%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
53.0%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
▶36.4%
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
57.7%
(/.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
▶87.5%
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶48.9%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
42.3%
(/.f64 x y)
49.5%
(*.f64 x (/.f64 x (fma.f64 x y y)))
▶37.0%
x
Compiler

Compiled 186 to 112 computations (39.8% saved)

simplify196.0ms (2.4%)

Memory
3.2MiB live, 234.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) y)
✓cost-diff512
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #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 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓cost-diff128
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y x))
Rules
5 372×accelerator-lowering-fma.f32
5 372×accelerator-lowering-fma.f64
2 674×*-lowering-*.f32
2 674×*-lowering-*.f64
1 746×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01896
14786
28986
318286
430286
546486
667784
7101884
8172184
9417084
10673684
11789584
0807882
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* x (+ (/ 1 (/ y x)) 1)) (+ x 1))
(* x (+ (/ 1 (/ y x)) 1))
x
(+ (/ 1 (/ y x)) 1)
(/ 1 (/ y x))
1
(/ y x)
y
(+ x 1)
x
(/ x (+ x 1))
x
(+ x 1)
1
(+ (* (/ 1 y) (+ x -1)) 1)
(/ 1 y)
1
y
(+ x -1)
x
-1
(/ (/ (* x x) y) (+ x 1))
(/ (* x x) y)
(* x x)
x
y
(+ x 1)
1
Outputs
(/ (* x (+ (/ 1 (/ y x)) 1)) (+ x 1))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))
(* x (+ (/ 1 (/ y x)) 1))
(fma.f64 x (/.f64 x y) x)
x
(+ (/ 1 (/ y x)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ 1 (/ y x))
(/.f64 x y)
1
#s(literal 1 binary64)
(/ y x)
(/.f64 y x)
y
(+ x 1)
(+.f64 x #s(literal 1 binary64))
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) (+ x 1))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (* x x) y)
(/.f64 (*.f64 x x) y)
(* x x)
(*.f64 x x)
x
y
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize71.0ms (0.9%)

Memory
-23.5MiB live, 68.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy89.1%
(/.f64 (*.f64 x x) y)
✓accuracy87.5%
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #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 (+.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 y x))
✓accuracy87.6%
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Samples
49.0ms256×0valid
Compiler

Compiled 97 to 20 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 12.0ms (56.5% of total)
ival-add: 5.0ms (23.5% of total)
ival-mult: 5.0ms (23.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
12 → 228
Calls
Call 1
Inputs
#<alt (/ 1 (/ y x))>
#<alt (* x (+ (/ 1 (/ y x)) 1))>
#<alt (/ (* x (+ (/ 1 (/ y x)) 1)) (+ x 1))>
#<alt (+ (/ 1 (/ y x)) 1)>
#<alt (/ x (+ x 1))>
#<alt (+ x 1)>
#<alt (+ (* (/ 1 y) (+ x -1)) 1)>
#<alt (/ 1 y)>
#<alt (+ x -1)>
#<alt (/ (/ (* x x) y) (+ x 1))>
#<alt (/ (* x x) y)>
#<alt (* x x)>
Outputs
#<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>
#<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 (/ 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 (+ 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 (/ (- 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 (/ (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 (/ (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)>
#<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

57 calls:

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

rewrite407.0ms (5.1%)

Memory
19.9MiB live, 560.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 306×accelerator-lowering-fma.f32
9 306×accelerator-lowering-fma.f64
5 186×*-lowering-*.f32
5 186×*-lowering-*.f64
4 216×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01874
112864
2103864
0918561
Stop Event
1×iter limit
1×node limit
Counts
12 → 895
Calls
Call 1
Inputs
(/ 1 (/ y x))
(* x (+ (/ 1 (/ y x)) 1))
(/ (* x (+ (/ 1 (/ y x)) 1)) (+ x 1))
(+ (/ 1 (/ y x)) 1)
(/ x (+ x 1))
(+ x 1)
(+ (* (/ 1 y) (+ x -1)) 1)
(/ 1 y)
(+ x -1)
(/ (/ (* x x) y) (+ x 1))
(/ (* x x) y)
(* x x)
Outputs
(exp.f64 (log.f64 (/.f64 x y)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (*.f64 y (/.f64 y (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
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(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify413.0ms (5.2%)

Memory
-47.3MiB live, 647.6MiB allocated
Algorithm
1×egg-herbie
Rules
15 968×accelerator-lowering-fma.f32
15 968×accelerator-lowering-fma.f64
4 194×*-lowering-*.f32
4 194×*-lowering-*.f64
2 408×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01571596
14531528
212331330
357501319
083511280
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
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(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 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
(* 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))))
(fma.f64 (*.f64 x x) (+.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (neg.f64 x)) x)
(/ 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 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) 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 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x y))))) (/.f64 #s(literal -1 binary64) x)))
(/ 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 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) y))) 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 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.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 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ 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 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
x
(* x (+ 1 (* -1 x)))
(-.f64 x (*.f64 x x))
(* x (+ 1 (* x (- x 1))))
(fma.f64 x (-.f64 (*.f64 x x) x) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #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 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x 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 #s(literal 1 binary64) x) (*.f64 x x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 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))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 x (+.f64 y #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))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(*.f64 x (fma.f64 x (/.f64 (-.f64 (*.f64 x x) x) y) (/.f64 x y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y)) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) 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 #s(literal 1 binary64) (*.f64 x y)) (/.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 x y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (+.f64 x #s(literal -1 binary64)) 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 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(-.f64 (/.f64 x y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) x))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval224.0ms (2.8%)

Memory
19.4MiB live, 320.9MiB allocated
Compiler

Compiled 21 453 to 2 239 computations (89.6% saved)

prune145.0ms (1.8%)

Memory
12.2MiB live, 384.3MiB allocated
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1 26181 269
Fresh224
Picked235
Done000
Total1 265131 278
Accuracy
100.0%
Counts
1 278 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.1%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
▶53.3%
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
▶53.0%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
41.8%
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x #s(literal 1 binary64)))
▶41.7%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
39.3%
(/.f64 (*.f64 x x) (fma.f64 y x y))
18.1%
(/.f64 (*.f64 x x) y)
✓48.9%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
▶42.3%
(/.f64 x y)
39.9%
(-.f64 x (*.f64 x x))
14.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓37.0%
x
▶14.5%
#s(literal 1 binary64)
Compiler

Compiled 170 to 108 computations (36.5% saved)

simplify68.0ms (0.8%)

Memory
-11.8MiB live, 66.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(-.f64 (/.f64 x y) x)
✓cost-diff0
(fma.f64 x (-.f64 (/.f64 x y) x) x)
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
Rules
1 072×accelerator-lowering-fma.f32
1 072×accelerator-lowering-fma.f64
424×*-lowering-*.f32
424×*-lowering-*.f64
240×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
12447
24047
310247
418847
530747
652547
786447
8125447
9145347
10149447
11152347
12152847
0152846
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (/ 1 y) x) 1)
(/ 1 y)
1
y
x
1
(/ x y)
x
y
(/ (+ x -1) y)
(+ x -1)
x
-1
y
(+ (* x (- (/ x y) x)) x)
x
(- (/ x y) x)
(/ x y)
y
Outputs
(+ (* (/ 1 y) x) 1)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x
1
#s(literal 1 binary64)
(/ x y)
(/.f64 x y)
x
y
(/ (+ x -1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
y
(+ (* x (- (/ x y) x)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
x
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(/ x y)
(/.f64 x y)
y

localize43.0ms (0.5%)

Memory
1.6MiB live, 82.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 (/.f64 x y) x)
✓accuracy99.9%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.8%
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
Samples
26.0ms256×0valid
Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (42.4% of total)
ival-add: 4.0ms (28.3% of total)
ival-mult: 3.0ms (21.2% of total)
ival-sub: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
7 → 144
Calls
Call 1
Inputs
#<alt (+ (* (/ 1 y) x) 1)>
#<alt (/ 1 y)>
#<alt (/ x y)>
#<alt (/ (+ x -1) y)>
#<alt (+ x -1)>
#<alt (+ (* x (- (/ x y) x)) x)>
#<alt (- (/ x y) x)>
Outputs
#<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 (/ 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 (/ 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 y)>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* (pow x 2) (- (/ 1 y) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* -1 (* (pow x 2) (- 1 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (* -1 x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (* -1 x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
Calls

36 calls:

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

rewrite413.0ms (5.2%)

Memory
6.3MiB live, 389.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 640×accelerator-lowering-fma.f32
7 640×accelerator-lowering-fma.f64
4 748×*-lowering-*.f32
4 748×*-lowering-*.f64
3 730×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
19133
267033
0887832
Stop Event
1×iter limit
1×node limit
Counts
7 → 462
Calls
Call 1
Inputs
(+ (* (/ 1 y) x) 1)
(/ 1 y)
(/ x y)
(/ (+ x -1) y)
(+ x -1)
(+ (* x (- (/ x y) x)) x)
(- (/ x y) x)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))))
(neg.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y)))
(/.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))))
(/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (*.f64 (+.f64 x (/.f64 x y)) (*.f64 x x))) (*.f64 (+.f64 x (/.f64 x y)) (+.f64 x (/.f64 x y))))
(/.f64 (*.f64 (*.f64 x (-.f64 (/.f64 x (*.f64 y y)) x)) #s(literal 1 binary64)) (+.f64 x (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (/.f64 (*.f64 x x) (*.f64 y y))))) (+.f64 x (/.f64 x y))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 x (-.f64 (/.f64 x (*.f64 y y)) x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) x)) (+.f64 x (/.f64 x y))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 x (*.f64 y y)) x)))) (neg.f64 (neg.f64 (+.f64 x (/.f64 x y)))))
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (/.f64 (*.f64 x x) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) (*.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y)))))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))) (-.f64 (neg.f64 x) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y)))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))))) (+.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y))))))
(*.f64 (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y)))) (*.f64 (-.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y)))))))
(*.f64 (*.f64 x (-.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 (+.f64 x (/.f64 x y)) (*.f64 (-.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))))
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x y)))))))
(*.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 x (*.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (/.f64 x y)))))
(*.f64 (/.f64 (+.f64 x (/.f64 x y)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 x y) x) x))

simplify384.0ms (4.8%)

Memory
10.3MiB live, 337.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 646×accelerator-lowering-fma.f32
7 646×accelerator-lowering-fma.f64
3 182×*-lowering-*.f32
3 182×*-lowering-*.f64
2 888×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058751
1146670
2336670
31095664
44144664
08139646
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(/ 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)))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 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 (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ x y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
Outputs
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ (+ x y) y)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ (+ x y) y)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ 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)
(/ 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 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #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 (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (/ 1 y) 1))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) y)
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(* -1 x)
(neg.f64 x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(* -1 x)
(neg.f64 x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)

eval118.0ms (1.5%)

Memory
-12.0MiB live, 104.8MiB allocated
Compiler

Compiled 10 268 to 1 178 computations (88.5% saved)

prune106.0ms (1.3%)

Memory
17.1MiB live, 137.1MiB allocated
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New6485653
Fresh145
Picked235
Done123
Total65214666
Accuracy
100.0%
Counts
666 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(fma.f64 x (/.f64 x y) x)
▶52.9%
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x) x)
▶39.9%
(fma.f64 x (neg.f64 x) x)
41.8%
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x #s(literal 1 binary64)))
✓41.7%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
39.3%
(/.f64 (*.f64 x x) (fma.f64 y x y))
▶18.1%
(/.f64 (*.f64 x x) y)
✓48.9%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓42.3%
(/.f64 x y)
▶53.4%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
14.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
▶41.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
✓37.0%
x
✓14.5%
#s(literal 1 binary64)
Compiler

Compiled 181 to 116 computations (35.9% saved)

simplify151.0ms (1.9%)

Memory
-13.3MiB live, 62.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x)
✓cost-diff0
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x) x)
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y x))
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) y)
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(fma.f64 x (neg.f64 x) x)
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Rules
1 192×accelerator-lowering-fma.f32
1 192×accelerator-lowering-fma.f64
544×*-lowering-*.f32
544×*-lowering-*.f64
486×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01974
14271
28267
315667
427867
550267
680567
7113867
8143167
9189867
10217667
11235667
12239667
13239867
14239867
0239866
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (/ x y) 1)
(/ x y)
x
y
1
(+ (* x (neg x)) x)
x
(neg x)
(/ (* x x) y)
(* x x)
x
y
(* (/ 1 y) (+ x -1))
(/ 1 y)
1
y
(+ x -1)
x
-1
(+ (* x (- (/ 1 (/ y x)) x)) x)
x
(- (/ 1 (/ y x)) x)
(/ 1 (/ y x))
1
(/ y x)
y
Outputs
(+ (/ x y) 1)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
x
y
1
#s(literal 1 binary64)
(+ (* x (neg x)) x)
(fma.f64 x (neg.f64 x) x)
x
(neg x)
(neg.f64 x)
(/ (* x x) y)
(/.f64 (*.f64 x x) y)
(* x x)
(*.f64 x x)
x
y
(* (/ 1 y) (+ x -1))
(/.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 (- (/ 1 (/ y x)) x)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
x
(- (/ 1 (/ y x)) x)
(-.f64 (/.f64 x y) x)
(/ 1 (/ y x))
(/.f64 x y)
1
#s(literal 1 binary64)
(/ y x)
(/.f64 y x)
y

localize105.0ms (1.3%)

Memory
5.0MiB live, 90.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x)
✓accuracy99.9%
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x) x)
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 y x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy89.1%
(/.f64 (*.f64 x x) y)
✓accuracy100.0%
(fma.f64 x (neg.f64 x) x)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Samples
39.0ms256×0valid
Compiler

Compiled 76 to 21 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 10.0ms (37.8% of total)
ival-div: 9.0ms (34.1% of total)
ival-add: 4.0ms (15.1% of total)
ival-sub: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
13 → 252
Calls
Call 1
Inputs
#<alt (+ (/ x y) 1)>
#<alt (/ x y)>
#<alt (+ (* x (neg x)) x)>
#<alt (neg x)>
#<alt (/ (* x x) y)>
#<alt (* x x)>
#<alt (* (/ 1 y) (+ x -1))>
#<alt (/ 1 y)>
#<alt (+ x -1)>
#<alt (/ 1 (/ y x))>
#<alt (+ (* x (- (/ 1 (/ y x)) x)) x)>
#<alt (- (/ 1 (/ y x)) x)>
#<alt (/ y x)>
Outputs
#<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>
#<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 (* -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 (/ (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)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ -1 y)>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ 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 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>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* (pow x 2) (- (/ 1 y) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* -1 (* (pow x 2) (- 1 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (* -1 x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (* -1 x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
Calls

63 calls:

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

rewrite422.0ms (5.3%)

Memory
6.1MiB live, 514.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 498×accelerator-lowering-fma.f32
8 498×accelerator-lowering-fma.f64
3 916×/-lowering-/.f32
3 916×/-lowering-/.f64
3 848×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01957
112554
296954
0879853
Stop Event
1×iter limit
1×node limit
Counts
13 → 594
Calls
Call 1
Inputs
(+ (/ x y) 1)
(/ x y)
(+ (* x (neg x)) x)
(neg x)
(/ (* x x) y)
(* x x)
(* (/ 1 y) (+ x -1))
(/ 1 y)
(+ x -1)
(/ 1 (/ y x))
(+ (* x (- (/ 1 (/ y x)) x)) x)
(- (/ 1 (/ y x)) x)
(/ y x)
Outputs
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
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(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))

simplify284.0ms (3.5%)

Memory
-31.4MiB live, 583.0MiB allocated
Algorithm
1×egg-herbie
Rules
6 480×accelerator-lowering-fma.f32
6 480×accelerator-lowering-fma.f64
3 100×*-lowering-*.f32
3 100×*-lowering-*.f64
2 936×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621159
11581090
23501090
311301084
444201042
081401024
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
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
(* 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))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (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)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x 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 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 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
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(/ x y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
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 #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))
(/ 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
(* x (+ 1 (* -1 x)))
(-.f64 x (*.f64 x x))
(* x (+ 1 (* -1 x)))
(-.f64 x (*.f64 x x))
(* x (+ 1 (* -1 x)))
(-.f64 x (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(-.f64 x (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(-.f64 x (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(-.f64 x (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(-.f64 x (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(-.f64 x (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(-.f64 x (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.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 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
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (/ 1 y) 1))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) y)
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(* -1 x)
(neg.f64 x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(* -1 x)
(neg.f64 x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

eval132.0ms (1.6%)

Memory
18.0MiB live, 260.9MiB allocated
Compiler

Compiled 11 651 to 1 519 computations (87% saved)

prune138.0ms (1.7%)

Memory
4.8MiB live, 242.1MiB allocated
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New8433846
Fresh134
Picked145
Done055
Total84515860
Accuracy
100.0%
Counts
860 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(fma.f64 x (/.f64 x y) x)
✓39.9%
(fma.f64 x (neg.f64 x) x)
✓41.7%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
39.3%
(/.f64 (*.f64 x x) (fma.f64 y x y))
✓18.1%
(/.f64 (*.f64 x x) y)
20.2%
(/.f64 x (/.f64 y x))
✓48.9%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓42.3%
(/.f64 x y)
✓53.4%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
14.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
20.2%
(*.f64 (/.f64 x y) x)
✓41.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
7.1%
(neg.f64 (*.f64 x x))
✓37.0%
x
✓14.5%
#s(literal 1 binary64)
Compiler

Compiled 279 to 115 computations (58.8% saved)

regimes27.0ms (0.3%)

Memory
-6.6MiB live, 69.9MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 (*.f64 x x))
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
(fma.f64 x (/.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(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 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) (fma.f64 y x y))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x) x)
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 x (/.f64 y 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)))
(/.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 x y)
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
Calls

3 calls:

9.0ms
x
9.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
8.0ms
y
Results
AccuracySegmentsBranch
99.8%3x
87.6%1y
100.0%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)

regimes17.0ms (0.2%)

Memory
-3.6MiB live, 36.7MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 (*.f64 x x))
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
(fma.f64 x (/.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(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 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) (fma.f64 y x y))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x) x)
Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(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))
Calls

2 calls:

9.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
7.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
95.8%5(/.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)

regimes6.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 (*.f64 x x))
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
(fma.f64 x (/.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
Outputs
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-19.3MiB live, 17.8MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 (*.f64 x x))
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
(fma.f64 x (/.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
Outputs
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(fma.f64 x (/.f64 x y) x)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory
4.7MiB live, 44.5MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 (*.f64 x x))
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
Outputs
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

3 calls:

5.0ms
y
4.0ms
x
4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
70.6%5y
87.6%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
87.8%3x
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes8.0ms (0.1%)

Memory
-13.1MiB live, 26.4MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 (*.f64 x x))
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Outputs
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(-.f64 x (*.f64 x x))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

2 calls:

4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
3.0ms
x
Results
AccuracySegmentsBranch
87.3%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
87.1%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory
27.0MiB live, 27.0MiB allocated
Counts
7 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 (*.f64 x x))
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) 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

2 calls:

3.0ms
x
3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
75.3%3x
86.7%4(/.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)

regimes6.0ms (0.1%)

Memory
-44.3MiB live, 11.8MiB allocated
Counts
6 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 (*.f64 x x))
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(/.f64 x y)
Outputs
(/.f64 x y)
(-.f64 x (*.f64 x x))
#s(literal 1 binary64)
(/.f64 x y)
Calls

1 calls:

6.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
86.5%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)

regimes8.0ms (0.1%)

Memory
26.9MiB live, 26.9MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 (*.f64 x x))
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
Outputs
(-.f64 x (*.f64 x x))
#s(literal 1 binary64)
Calls

3 calls:

3.0ms
x
2.0ms
y
2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
39.9%1y
50.0%4x
52.4%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)

regimes2.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 (*.f64 x x))
Outputs
(neg.f64 (*.f64 x 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
52.2%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)

regimes3.0ms (0%)

Memory
-32.7MiB live, 6.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
Outputs
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
48.5%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)

regimes4.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB 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:

1.0ms
y
1.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
14.5%1y
14.5%1x
14.5%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)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.3918515067211005e+271
+inf
0.0ms
-inf
-1.1468834406923416e+279
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch29.0ms (0.4%)

Memory
3.0MiB live, 78.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.744097464651068e-6
3711147.237674066
12.0ms
-16.64422836634283
-0.00957956614772094
Samples
16.0ms288×0valid
Compiler

Compiled 412 to 265 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (45.1% of total)
ival-add: 3.0ms (33.8% of total)
ival-mult: 2.0ms (22.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Memory
-8.0MiB live, 69.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.744097464651068e-6
3711147.237674066
15.0ms
-16.64422836634283
-0.00957956614772094
Samples
19.0ms288×0valid
Compiler

Compiled 358 to 229 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (45.5% of total)
ival-add: 3.0ms (34.1% of total)
ival-mult: 2.0ms (22.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Memory
7.9MiB live, 83.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.744097464651068e-6
3711147.237674066
14.0ms
-16.64422836634283
-0.00957956614772094
Samples
15.0ms288×0valid
Compiler

Compiled 322 to 211 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (45.5% of total)
ival-add: 2.0ms (22.8% of total)
ival-mult: 2.0ms (22.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Memory
21.1MiB live, 64.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
3711147.237674066
13758354761.881325
16.0ms
-86454523256.97482
-83029.32358548896
Samples
18.0ms272×0valid
Compiler

Compiled 288 to 217 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 8.0ms (63.4% of total)
ival-add: 2.0ms (15.8% of total)
ival-mult: 2.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.106327007095956e-6
0.9999963333167166
0.0ms
-1194.49333752682
-0.009672221836600083
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0000120440827518
84611909470115600.0
0.0ms
6.106327007095956e-6
0.9999963333167166
0.0ms
-1194.49333752682
-0.009672221836600083
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0000120440827518
84611909470115600.0
0.0ms
1.744094422780407e-6
6.106327007095956e-6
0.0ms
-1194.49333752682
-0.009672221836600083
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
1.744094422780407e-6
6.106327007095956e-6
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.744094422780407e-6
6.106327007095956e-6
0.0ms
-558653229438.7931
-1194.49333752682
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
1.744094422780407e-6
6.106327007095956e-6
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify13.0ms (0.2%)

Memory
-11.0MiB live, 28.2MiB allocated
Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
10×if-if-or-not_binary32
8×sub-neg_binary64
6×*-commutative_binary64
4×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065355
194355
2100355
3103355
4104355
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -inf.0 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 39999999999999998116394341015895004582005369498587980817774798135008889236832540403098949017596279503857976235196107587296037135033765903667627197945557561774765117874632937403616439514082803772592228187176440695417833371491179060224935998728946542317371771765772504793088 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(if (<=.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (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))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -320000 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 30000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #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 -1000 binary64)) (+.f64 (/.f64 x y) #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 5902958103587057/590295810358705651712 binary64)) (-.f64 x (*.f64 x x)) (+.f64 (/.f64 x y) #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 -1000 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 5902958103587057/590295810358705651712 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 2 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 -1000 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 4722366482869645/2361183241434822606848 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 2 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 4722366482869645/2361183241434822606848 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 -500000000000 binary64)) (neg.f64 (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/2361183241434822606848 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 4722366482869645/2361183241434822606848 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -inf.0 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 39999999999999998116394341015895004582005369498587980817774798135008889236832540403098949017596279503857976235196107587296037135033765903667627197945557561774765117874632937403616439514082803772592228187176440695417833371491179060224935998728946542317371771765772504793088 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(if (<=.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (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))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -320000 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 30000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #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 -1000 binary64)) (+.f64 (/.f64 x y) #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 5902958103587057/590295810358705651712 binary64)) (-.f64 x (*.f64 x x)) (+.f64 (/.f64 x y) #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 -1000 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 5902958103587057/590295810358705651712 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 2 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 -1000 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 4722366482869645/2361183241434822606848 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 2 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 4722366482869645/2361183241434822606848 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 -500000000000 binary64)) (neg.f64 (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/2361183241434822606848 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 4722366482869645/2361183241434822606848 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.4s (17.8%)

Memory
-16.9MiB live, 912.8MiB allocated
Rules
21 530×accelerator-lowering-fma.f32
21 530×accelerator-lowering-fma.f64
15 968×accelerator-lowering-fma.f32
15 968×accelerator-lowering-fma.f64
7 646×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090745
1250724
2660648
33422635
09168612
058751
1146670
2336670
31095664
44144664
08139646
0621159
11581090
23501090
311301084
444201042
081401024
01333
19133
267033
0887832
01571596
14531528
212331330
357501319
083511280
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
Compiler

Compiled 716 to 289 computations (59.6% saved)

preprocess79.0ms (1%)

Memory
20.7MiB live, 134.9MiB allocated
Compiler

Compiled 816 to 164 computations (79.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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