Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

Time bar (total: 9.8s)

analyze80.0ms (0.8%)

Memory
-45.7MiB live, 56.3MiB 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)

sample902.0ms (9.2%)

Memory
46.9MiB live, 1 415.7MiB allocated
Samples
631.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 313.0ms
ival-div: 143.0ms (45.7% of total)
ival-add: 100.0ms (31.9% of total)
ival-mult: 55.0ms (17.6% of total)
ival-true: 6.0ms (1.9% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

preprocess217.0ms (2.2%)

Memory
-17.2MiB live, 67.8MiB allocated
Algorithm
2×egg-herbie
Rules
1 986×div-sub
1 176×unsub-neg
906×distribute-lft-in
858×sub-neg
840×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

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

explain135.0ms (1.4%)

Memory
5.9MiB live, 240.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
280-0-(/.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/n280
↳(/.f64 x y)overflow36
↳(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))overflow64
↳(+.f64 (/.f64 x y) #s(literal 1 binary64))overflow36
Confusion
Predicted +Predicted -
+280
-0228
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2800
-00228
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0228
128
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
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 (41.8% of total)
ival-add: 5.0ms (29.8% of total)
ival-mult: 3.0ms (17.9% 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
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶89.8%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify21.0ms (0.2%)

Memory
-4.5MiB live, 34.6MiB 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))

localize26.0ms (0.3%)

Memory
18.2MiB live, 53.1MiB 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)))
✓accuracy89.8%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Samples
15.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (49.6% of total)
ival-add: 2.0ms (24.8% of total)
ival-mult: 2.0ms (24.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (* x (+ (/ x y) 1))>
#<alt (/ (* x (+ (/ x y) 1)) (+ x 1))>
#<alt (+ (/ x y) 1)>
#<alt (/ x y)>
#<alt (+ x 1)>
Outputs
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

27 calls:

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

rewrite285.0ms (2.9%)

Memory
-45.3MiB live, 530.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 588×*-lowering-*.f32
3 588×*-lowering-*.f64
3 312×/-lowering-/.f32
3 312×/-lowering-/.f64
3 296×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify647.0ms (6.6%)

Memory
45.6MiB live, 1 151.4MiB allocated
Algorithm
1×egg-herbie
Rules
21 530×accelerator-lowering-fma.f32
21 530×accelerator-lowering-fma.f64
4 414×*-lowering-*.f32
4 414×*-lowering-*.f64
3 134×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval59.0ms (0.6%)

Memory
-24.2MiB live, 128.5MiB allocated
Compiler

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

prune94.0ms (1%)

Memory
12.3MiB live, 131.2MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New49510505
Fresh000
Picked101
Done000
Total49610506
Accuracy
100.0%
Counts
506 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.2%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
54.5%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
▶36.0%
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
89.7%
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
89.8%
(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
▶99.9%
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
▶51.2%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
41.8%
(/.f64 x y)
43.8%
(*.f64 x (/.f64 x (fma.f64 x y y)))
▶38.9%
x
Compiler

Compiled 192 to 116 computations (39.6% saved)

simplify143.0ms (1.5%)

Memory
-20.3MiB live, 115.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x x)
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓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 x y) #s(literal 1 binary64))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓cost-diff512
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
Rules
1 432×accelerator-lowering-fma.f32
1 432×accelerator-lowering-fma.f64
824×*-lowering-*.f32
824×*-lowering-*.f64
540×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01787
13685
28585
314585
421485
538285
656985
784385
8113885
9215185
10287685
11313885
12314685
13314685
14316485
15317285
16317285
0317283
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ x (/ (+ x 1) (+ (/ x y) 1)))
x
(/ (+ x 1) (+ (/ x y) 1))
(+ x 1)
1
(+ (/ x y) 1)
(/ x y)
y
x
(/ x (+ x 1))
x
(+ x 1)
1
(+ (* (/ 1 y) (+ x -1)) 1)
(/ 1 y)
1
y
(+ x -1)
x
-1
(/ (/ (* x x) y) (+ x 1))
(/ (* x x) y)
(* x x)
x
y
(+ x 1)
1
Outputs
(/ x (/ (+ x 1) (+ (/ x y) 1)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))
x
(/ (+ x 1) (+ (/ x y) 1))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (/ x y) 1)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
y
x
(/ x (+ x 1))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (* (/ 1 y) (+ x -1)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(/ (/ (* x x) y) (+ x 1))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x y y))
(/ (* x x) y)
(fma.f64 x (/.f64 x y) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
y
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize59.0ms (0.6%)

Memory
-1.9MiB live, 117.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy89.8%
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
✓accuracy89.3%
(/.f64 (*.f64 x x) y)
✓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 (/.f64 x y) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy99.9%
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
✓accuracy86.8%
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
Samples
34.0ms256×0valid
Compiler

Compiled 88 to 19 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 13.0ms (60.9% of total)
ival-add: 5.0ms (23.4% of total)
ival-mult: 3.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
24.3MiB live, 24.3MiB allocated
Counts
11 → 204
Calls
Call 1
Inputs
#<alt (/ x (/ (+ x 1) (+ (/ x y) 1)))>
#<alt (/ (+ x 1) (+ (/ x y) 1))>
#<alt (+ x 1)>
#<alt (+ (/ x y) 1)>
#<alt (/ x (+ 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>
#<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 (- 1 (/ 1 y))))>
#<alt (+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y))))>
#<alt (+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y))))>
#<alt y>
#<alt (- (+ y (/ y x)) (/ (pow y 2) x))>
#<alt (- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x))>
#<alt (- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x)))>
#<alt y>
#<alt (+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x)))>
#<alt (+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x)))>
#<alt (+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x)))>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))>
#<alt (- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y))>
#<alt (- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))>
#<alt (+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y))))>
#<alt (+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 1 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)))>
#<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>
#<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 (/ (- 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

51 calls:

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

rewrite594.0ms (6.1%)

Memory
-0.5MiB live, 630.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 080×accelerator-lowering-fma.f32
6 080×accelerator-lowering-fma.f64
4 120×/-lowering-/.f32
4 120×/-lowering-/.f64
4 030×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01765
111863
2103363
0870161
Stop Event
1×iter limit
1×node limit
Counts
11 → 810
Calls
Call 1
Inputs
(/ x (/ (+ x 1) (+ (/ x y) 1)))
(/ (+ x 1) (+ (/ x y) 1))
(+ x 1)
(+ (/ x y) 1)
(/ x (+ x 1))
(+ (* (/ 1 y) (+ x -1)) 1)
(/ 1 y)
(+ x -1)
(/ (/ (* x x) y) (+ x 1))
(/ (* x x) y)
(* x x)
Outputs
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y y))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 x (/.f64 x (fma.f64 x y y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 x (fma.f64 x y y)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x y y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x y y)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x y) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x y) (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y y))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y y))) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) y) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 (*.f64 x x) (fma.f64 x y y)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 x y y)))
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(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify854.0ms (8.7%)

Memory
-3.8MiB live, 749.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 540×accelerator-lowering-fma.f32
12 540×accelerator-lowering-fma.f64
4 840×+-lowering-+.f64
4 840×+-lowering-+.f32
3 356×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02801848
18771765
226011499
082561454
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (* x (- 1 (/ 1 y))))
(+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y))))
(+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y))))
y
(- (+ y (/ y x)) (/ (pow y 2) x))
(- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x))
(- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x)))
y
(+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x)))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x)))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x)))
(/ (* y (+ 1 x)) x)
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(+ 1 x)
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y))
(- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y)))
(+ 1 x)
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y))))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 1 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)))
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
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (+.f64 (+.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.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) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x y)))) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x 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 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x y))))) (/.f64 #s(literal -1 binary64) y))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(*.f64 x (+.f64 (/.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 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.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)) 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 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* x (- 1 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y)))
(+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y))))
(fma.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) #s(literal 1 binary64))
(+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64))
y
(- (+ y (/ y x)) (/ (pow y 2) x))
(+.f64 y (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x))
(+.f64 y (/.f64 (fma.f64 y (-.f64 (/.f64 (*.f64 y (+.f64 y #s(literal -1 binary64))) x) y) y) x))
(- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x)))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 y (-.f64 (/.f64 (*.f64 y (+.f64 y #s(literal -1 binary64))) x) y) y) x))
y
(+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x)))
(+.f64 y (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x)))
(+.f64 y (/.f64 (fma.f64 y (-.f64 (/.f64 (*.f64 y (+.f64 y #s(literal -1 binary64))) x) y) y) x))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x)))
(-.f64 y (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 y (+.f64 y #s(literal -1 binary64))) (fma.f64 y (/.f64 y x) (-.f64 #s(literal 0 binary64) y))) x)) x))
(/ (* y (+ 1 x)) x)
(/.f64 (fma.f64 x y y) x)
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(fma.f64 y (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y (*.f64 x x))) (/.f64 y x))
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(fma.f64 y (fma.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) y)
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(fma.f64 y (fma.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 y (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) y)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))
(- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y))
(+.f64 x (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (fma.f64 x (/.f64 x y) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y)))
(+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) (-.f64 #s(literal 0 binary64) x)))) y)) y)))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y))))
(+.f64 x (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (fma.f64 x (/.f64 x y) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 1 x)))) y))))
(+.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) (-.f64 #s(literal 0 binary64) x)))) y)) 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))
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
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* x (- x 1))))
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(*.f64 (*.f64 x x) (fma.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y)) (-.f64 #s(literal 0 binary64) (/.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))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.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 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x y))))))
(/ 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))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.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 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x y))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (-.f64 #s(literal 0 binary64) x)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 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)

eval138.0ms (1.4%)

Memory
26.8MiB live, 331.5MiB allocated
Compiler

Compiled 20 675 to 2 144 computations (89.6% saved)

prune224.0ms (2.3%)

Memory
-26.8MiB live, 306.2MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 14591 154
Fresh235
Picked235
Done000
Total1 149151 164
Accuracy
100.0%
Counts
1 164 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
✓36.0%
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
▶41.2%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
▶89.8%
(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
37.0%
(/.f64 (*.f64 x x) (fma.f64 x y y))
16.5%
(/.f64 (*.f64 x x) y)
43.9%
(/.f64 x (/.f64 (fma.f64 x y y) x))
✓51.2%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
▶41.8%
(/.f64 x y)
▶52.3%
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
13.3%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
47.9%
(*.f64 x (fma.f64 x (+.f64 (+.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
44.0%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓38.9%
x
▶14.0%
#s(literal 1 binary64)
Compiler

Compiled 233 to 150 computations (35.6% saved)

simplify405.0ms (4.1%)

Memory
7.4MiB live, 275.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓cost-diff0
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
✓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 x y)
✓cost-diff0
(/.f64 (+.f64 x y) y)
✓cost-diff128
(*.f64 x (/.f64 (+.f64 x y) y))
✓cost-diff384
(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
Rules
7 758×accelerator-lowering-fma.f32
7 758×accelerator-lowering-fma.f64
5 258×*-lowering-*.f32
5 258×*-lowering-*.f64
2 638×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01368
12468
23968
35168
46868
59468
617468
729468
847868
991068
10247268
11318868
12337068
13343168
14343768
15343768
16387868
17398868
18398868
19399168
20399468
21399468
22399468
23399468
24625768
25696768
26788268
0800266
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* x (/ (+ x y) y)) (+ x 1))
(* x (/ (+ x y) y))
x
(/ (+ x y) y)
(+ x y)
y
(+ x 1)
1
1
(/ x y)
x
y
(/ (+ x -1) y)
(+ x -1)
x
-1
y
(+ (/ (+ x -1) y) 1)
(/ (+ x -1) y)
(+ x -1)
x
-1
y
1
Outputs
(/ (* x (/ (+ x y) y)) (+ x 1))
(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y))
(* x (/ (+ x y) y))
(fma.f64 x (/.f64 x y) x)
x
(/ (+ x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ x y)
(+.f64 x y)
y
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
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 -1) y) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) 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
1
#s(literal 1 binary64)

localize54.0ms (0.6%)

Memory
37.5MiB live, 75.8MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓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 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x y) y)
✓accuracy99.9%
(*.f64 x (/.f64 (+.f64 x y) y))
✓accuracy89.8%
(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
Samples
36.0ms256×0valid
Compiler

Compiled 70 to 15 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-add: 16.0ms (64.6% of total)
ival-div: 7.0ms (28.2% of total)
ival-mult: 2.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory
-31.6MiB live, 19.7MiB allocated
Counts
9 → 192
Calls
Call 1
Inputs
#<alt (/ (* x (/ (+ x y) y)) (+ x 1))>
#<alt (* x (/ (+ x y) y))>
#<alt (/ (+ x y) y)>
#<alt (+ x y)>
#<alt (/ x y)>
#<alt (/ (+ x -1) y)>
#<alt (+ x -1)>
#<alt (+ (/ (+ x -1) y) 1)>
#<alt (+ x 1)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (/ x 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 (- 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 (/ (- 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>
#<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

48 calls:

TimeVariablePointExpression
23.0ms
x
@-inf
(/ (* x (/ (+ x y) y)) (+ x 1))
2.0ms
y
@-inf
(* x (/ (+ x y) y))
1.0ms
y
@-inf
(/ (* x (/ (+ x y) y)) (+ x 1))
0.0ms
y
@inf
(/ (* x (/ (+ x y) y)) (+ x 1))
0.0ms
x
@0
(* x (/ (+ x y) y))

rewrite416.0ms (4.2%)

Memory
12.9MiB live, 437.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 966×accelerator-lowering-fma.f32
4 966×accelerator-lowering-fma.f64
4 450×*-lowering-*.f32
4 450×*-lowering-*.f64
4 262×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01347
19047
273247
0877646
Stop Event
1×iter limit
1×node limit
Counts
9 → 665
Calls
Call 1
Inputs
(/ (* x (/ (+ x y) y)) (+ x 1))
(* x (/ (+ x y) y))
(/ (+ x y) y)
(+ x y)
(/ x y)
(/ (+ x -1) y)
(+ x -1)
(+ (/ (+ x -1) y) 1)
(+ x 1)
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 x (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y y) (*.f64 x (+.f64 x y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y))))
(fma.f64 x (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) x (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) x))
(neg.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y))))
(neg.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y y) (*.f64 x (+.f64 x y)))))
(/.f64 x (/.f64 (fma.f64 x y y) (+.f64 x y)))
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 x (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 y (*.f64 x (+.f64 x y)))))
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (*.f64 x (+.f64 x y))))
(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x y))) (*.f64 (-.f64 #s(literal -1 binary64) x) y))
(/.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))) y)
(/.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 (+.f64 x y) y) (*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (+.f64 x y) y) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 y (+.f64 x y)))
(/.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x) (/.f64 y (+.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x y))) y)
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 y (*.f64 x (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64)))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x y)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (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 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (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 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) y))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 y (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x y) y))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 y (-.f64 x y)))
(/.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) y) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) y) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) y)
(pow.f64 (/.f64 (fma.f64 x y y) (*.f64 x (+.f64 x y))) #s(literal -1 binary64))
(*.f64 x (/.f64 (+.f64 x y) (fma.f64 x y y)))
(*.f64 (+.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 x y) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 x y) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1 binary64))) x))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x y) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x))
(*.f64 (/.f64 (+.f64 x y) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y)))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (+.f64 x y) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 x y)) y))
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) y)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x (+.f64 x y)) y)))
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(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)))))) (+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64))))))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))))
(/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(/.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 x #s(literal 1 binary64))) #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 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 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 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.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) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 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 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))

simplify565.0ms (5.8%)

Memory
-24.2MiB live, 685.3MiB allocated
Algorithm
1×egg-herbie
Rules
15 710×accelerator-lowering-fma.f32
15 710×accelerator-lowering-fma.f64
4 540×*-lowering-*.f32
4 540×*-lowering-*.f64
2 544×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241228
13441178
2909991
34328980
08390954
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ x 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)))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(+ 1 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 (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* 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)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(+.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 x (*.f64 x (*.f64 x y))))))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(fma.f64 x (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 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)))
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)
(fma.f64 x (/.f64 x y) x)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 x (/.f64 x y) x)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
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))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(/ 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))
(- 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 #s(literal 1 binary64) x) y))
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ (- (+ x y) 1) y)
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ (- (+ x y) 1) y)
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) 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))

eval140.0ms (1.4%)

Memory
19.8MiB live, 254.2MiB allocated
Compiler

Compiled 17 762 to 2 032 computations (88.6% saved)

prune123.0ms (1.3%)

Memory
-1.7MiB live, 313.8MiB allocated
Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New1 07131 074
Fresh167
Picked145
Done033
Total1 073161 089
Accuracy
100.0%
Counts
1 089 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.5%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
✓36.0%
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
✓41.2%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
37.0%
(/.f64 (*.f64 x x) (fma.f64 x y y))
16.5%
(/.f64 (*.f64 x x) y)
▶43.9%
(/.f64 x (/.f64 (fma.f64 x y y) x))
✓51.2%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓41.8%
(/.f64 x y)
✓52.3%
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
▶52.4%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
13.3%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
▶87.6%
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
47.9%
(*.f64 x (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
▶44.0%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓38.9%
x
✓14.0%
#s(literal 1 binary64)
Compiler

Compiled 217 to 134 computations (38.2% saved)

simplify287.0ms (2.9%)

Memory
-23.1MiB live, 537.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x y y)
✓cost-diff128
(/.f64 x (/.f64 (fma.f64 x y y) x))
✓cost-diff192
(/.f64 (fma.f64 x y y) x)
✓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 y)
✓cost-diff0
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓cost-diff-64
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff-64
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
✓cost-diff0
(fma.f64 x y y)
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 (+.f64 x y) (fma.f64 x y y))
Rules
9 224×accelerator-lowering-fma.f32
9 224×accelerator-lowering-fma.f64
3 474×*-lowering-*.f32
3 474×*-lowering-*.f64
1 754×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01793
13693
27093
313793
431093
576393
6149687
7305887
8551587
0806283
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (+ x y) (+ (* x y) y)) x)
(/ (+ x y) (+ (* x y) y))
(+ x y)
x
y
(+ (* x y) y)
(* x (- 1 x))
x
(- 1 x)
1
(+ (/ x y) 1)
(/ x y)
x
y
1
(+ (* x (- (/ x y) x)) x)
x
(- (/ x y) x)
(/ x y)
y
(/ x (/ (+ (* x y) y) x))
x
(/ (+ (* x y) y) x)
(+ (* x y) y)
y
Outputs
(* (/ (+ x y) (+ (* x y) y)) x)
(fma.f64 (+.f64 x y) (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(/ (+ x y) (+ (* x y) y))
(/.f64 (+.f64 x y) (fma.f64 x y y))
(+ x y)
(+.f64 x y)
x
y
(+ (* x y) y)
(fma.f64 x y y)
(* x (- 1 x))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
x
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ (/ x y) 1)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
x
y
1
#s(literal 1 binary64)
(+ (* 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
(/ x (/ (+ (* x y) y) x))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
x
(/ (+ (* x y) y) x)
(+.f64 y (/.f64 y x))
(+ (* x y) y)
(fma.f64 x y y)
y

localize55.0ms (0.6%)

Memory
31.9MiB live, 148.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x y y)
✓accuracy99.8%
(/.f64 x (/.f64 (fma.f64 x y y) x))
✓accuracy88.1%
(/.f64 (fma.f64 x y y) x)
✓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 y)
✓accuracy100.0%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(fma.f64 x y y)
✓accuracy100.0%
(+.f64 x y)
✓accuracy99.8%
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
✓accuracy88.0%
(/.f64 (+.f64 x y) (fma.f64 x y y))
Samples
35.0ms256×0valid
Compiler

Compiled 88 to 19 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 8.0ms (36.2% of total)
ival-div: 7.0ms (31.7% of total)
ival-add: 5.0ms (22.7% of total)
ival-sub: 2.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-16.7MiB live, 24.2MiB allocated
Counts
12 → 264
Calls
Call 1
Inputs
#<alt (/ (+ x y) (+ (* x y) y))>
#<alt (+ x y)>
#<alt (+ (* x y) y)>
#<alt (* (/ (+ x y) (+ (* x y) y)) x)>
#<alt (- 1 x)>
#<alt (* x (- 1 x))>
#<alt (+ (/ x y) 1)>
#<alt (/ x y)>
#<alt (+ (* x (- (/ x y) x)) x)>
#<alt (- (/ x y) x)>
#<alt (/ (+ (* x y) y) x)>
#<alt (/ x (/ (+ (* x y) y) x))>
Outputs
#<alt 1>
#<alt (+ 1 (* x (- (/ 1 y) 1)))>
#<alt (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))>
#<alt (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))>
#<alt (/ 1 y)>
#<alt (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))>
#<alt (- (+ (/ 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 (/ 1 y)>
#<alt (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) x)) (* -1 (- (/ 1 y) 1))) x)) (/ 1 y)) 1) x)) (/ 1 y))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)>
#<alt (/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)>
#<alt (/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)>
#<alt (/ 1 (+ 1 x))>
#<alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))>
#<alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))>
#<alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))>
#<alt (/ -1 (- (* -1 x) 1))>
#<alt (- (* -1 (/ x (* y (- (* -1 x) 1)))) (/ 1 (- (* -1 x) 1)))>
#<alt (- (* -1 (/ x (* y (- (* -1 x) 1)))) (/ 1 (- (* -1 x) 1)))>
#<alt (- (* -1 (/ x (* y (- (* -1 x) 1)))) (/ 1 (- (* -1 x) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt 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 (* -1 (/ x (- (* -1 x) 1)))>
#<alt (+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))>
#<alt (+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))>
#<alt (+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt 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 (* 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)>
#<alt (/ y x)>
#<alt (/ (+ y (* x y)) x)>
#<alt (/ (+ y (* x y)) x)>
#<alt (/ (+ y (* x y)) x)>
#<alt y>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt y>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (* -1 (/ (* y (- (* -1 x) 1)) x))>
#<alt (* -1 (/ (* y (- (* -1 x) 1)) x))>
#<alt (* -1 (/ (* y (- (* -1 x) 1)) x))>
#<alt (* -1 (/ (* y (- (* -1 x) 1)) x))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
Calls

66 calls:

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

rewrite459.0ms (4.7%)

Memory
5.6MiB live, 674.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 912×accelerator-lowering-fma.f32
5 912×accelerator-lowering-fma.f64
4 350×/-lowering-/.f32
4 350×/-lowering-/.f64
4 136×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01774
111974
2100374
0864968
Stop Event
1×iter limit
1×node limit
Counts
12 → 645
Calls
Call 1
Inputs
(/ (+ x y) (+ (* x y) y))
(+ x y)
(+ (* x y) y)
(* (/ (+ x y) (+ (* x y) y)) x)
(- 1 x)
(* x (- 1 x))
(+ (/ x y) 1)
(/ x y)
(+ (* x (- (/ x y) x)) x)
(- (/ x y) x)
(/ (+ (* x y) y) x)
(/ x (/ (+ (* x y) y) x))
Outputs
(+.f64 (/.f64 x (fma.f64 x y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) y))
(+.f64 (/.f64 x (fma.f64 x y y)) (*.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) y) (/.f64 x (fma.f64 x y y)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 y (-.f64 y (*.f64 x y)))))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 y (-.f64 y (*.f64 x y)))) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 x (*.f64 x (*.f64 y y)))))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x y y) (-.f64 (*.f64 x y) y))) (*.f64 x y)) (*.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x y y) (-.f64 (*.f64 x y) y))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x y y))) (/.f64 x (fma.f64 x y y)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))))) (*.f64 (*.f64 y (-.f64 y (*.f64 x y))) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))))))
(+.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 x y))) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))))))
(+.f64 (*.f64 (*.f64 x y) (/.f64 (+.f64 x y) (*.f64 (fma.f64 x y y) (-.f64 (*.f64 x y) y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (+.f64 x y) (*.f64 (fma.f64 x y y) (-.f64 (*.f64 x y) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y y) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (fma.f64 x y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x y y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (fma.f64 x y y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 x y y)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (fma.f64 x y y)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x y y) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y y) (-.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) y))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (/.f64 x (fma.f64 x y y)))
(fma.f64 (*.f64 x y) (/.f64 (+.f64 x y) (*.f64 (fma.f64 x y y) (-.f64 (*.f64 x y) y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (+.f64 x y) (*.f64 (fma.f64 x y y) (-.f64 (*.f64 x y) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) y))
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simplify437.0ms (4.5%)

Memory
-32.2MiB live, 751.3MiB allocated
Algorithm
1×egg-herbie
Rules
14 112×accelerator-lowering-fma.f32
14 112×accelerator-lowering-fma.f64
4 112×*-lowering-*.f32
4 112×*-lowering-*.f64
2 754×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02002019
15811874
215901689
370311678
081671608
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
1
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(/ (+ (* 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)
(/ y x)
(/ (+ y (* x y)) x)
(/ (+ y (* x y)) x)
(/ (+ y (* x y)) x)
y
(+ y (/ y x))
(+ y (/ y x))
(+ y (/ y x))
y
(+ y (/ y x))
(+ y (/ y x))
(+ y (/ y x))
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(* -1 (/ (* y (- (* -1 x) 1)) x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (- (/ 1 y) 1)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x))
(+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))
(fma.f64 (-.f64 x (/.f64 x y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
(- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)))
(- (+ (/ 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 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))) x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x y)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) x)) (* -1 (- (/ 1 y) 1))) x)) (/ 1 y)) 1) x)) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) x))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)
(/.f64 (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))) y)
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)
(/.f64 (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))) y)
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y)
(/.f64 (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))) y)
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/ -1 (- (* -1 x) 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(- (* -1 (/ x (* y (- (* -1 x) 1)))) (/ 1 (- (* -1 x) 1)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(- (* -1 (/ x (* y (- (* -1 x) 1)))) (/ 1 (- (* -1 x) 1)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(- (* -1 (/ x (* y (- (* -1 x) 1)))) (/ 1 (- (* -1 x) 1)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
y
(+ y (* x y))
(fma.f64 x y y)
(+ y (* x y))
(fma.f64 x y y)
(+ y (* x y))
(fma.f64 x y y)
(* x y)
(*.f64 x y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 (-.f64 x (/.f64 x y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 x y)) (+.f64 (/.f64 #s(literal -1 binary64) 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 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x y)))) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) 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 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 x y)) (+.f64 (/.f64 #s(literal -1 binary64) 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))))
(fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) x) (/.f64 x y))
(/ (pow x 2) (* y (+ 1 x)))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x y)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(* -1 (/ x (- (* -1 x) 1)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
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(-.f64 #s(literal 1 binary64) x)
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(-.f64 #s(literal 1 binary64) x)
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(* -1 (* x (- 1 (/ 1 x))))
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(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
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(/ x y)
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(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
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(* x (+ (/ 1 x) (/ 1 y)))
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(* x (+ (/ 1 x) (/ 1 y)))
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(/ (+ 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))
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1
#s(literal 1 binary64)
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x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
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(fma.f64 x (-.f64 (/.f64 x y) x) x)
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(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)
(fma.f64 x (/.f64 x y) #s(literal 0 binary64))
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (fma.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (fma.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (fma.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) y)
(+ x (* -1 (pow x 2)))
(*.f64 x (-.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) 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)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) 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)
(/ y x)
(/.f64 y x)
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
y
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
y
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 y (/.f64 y x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 y (/.f64 y x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 y (/.f64 y x))
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 y (/.f64 y x))
(/ (pow x 2) y)
(fma.f64 x (/.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))))))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x y))))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))))
(* -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 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))) x))
(/ (pow x 2) (* y (+ 1 x)))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(/ (pow x 2) (* y (+ 1 x)))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(/ (pow x 2) (* y (+ 1 x)))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(/ (pow x 2) (* y (+ 1 x)))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(/ (pow x 2) (* y (+ 1 x)))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(/ (pow x 2) (* y (+ 1 x)))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(/ (pow x 2) (* y (+ 1 x)))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(/ (pow x 2) (* y (+ 1 x)))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(fma.f64 x (/.f64 x (fma.f64 x y y)) #s(literal 0 binary64))

eval175.0ms (1.8%)

Memory
41.6MiB live, 228.2MiB allocated
Compiler

Compiled 19 226 to 2 013 computations (89.5% saved)

prune112.0ms (1.1%)

Memory
-11.8MiB live, 266.3MiB allocated
Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New1 02651 031
Fresh134
Picked325
Done077
Total1 030171 047
Accuracy
100.0%
Counts
1 047 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(fma.f64 x (/.f64 x y) x)
54.5%
(fma.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) x) x)
✓36.0%
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
✓41.2%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
37.0%
(/.f64 (*.f64 x x) (fma.f64 x y y))
16.5%
(/.f64 (*.f64 x x) y)
18.9%
(/.f64 x (/.f64 y x))
✓51.2%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓41.8%
(/.f64 x y)
9.2%
(-.f64 #s(literal 0 binary64) (*.f64 x x))
✓52.3%
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
✓52.4%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
13.3%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
54.2%
(*.f64 (/.f64 (+.f64 x y) y) x)
✓44.0%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓38.9%
x
✓14.0%
#s(literal 1 binary64)
Compiler

Compiled 337 to 141 computations (58.2% saved)

regimes27.0ms (0.3%)

Memory
15.1MiB live, 53.0MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.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 x) y)
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 x y) x)
(*.f64 (/.f64 (+.f64 x y) y) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
(fma.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) x) x)
(/.f64 x (/.f64 (fma.f64 x y y) x))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (+.f64 (+.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
Outputs
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
Calls

3 calls:

10.0ms
y
8.0ms
x
8.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%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)

regimes26.0ms (0.3%)

Memory
4.3MiB live, 43.3MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.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 x) y)
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 x y) x)
(*.f64 (/.f64 (+.f64 x y) y) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
(fma.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) x) x)
(/.f64 x (/.f64 (fma.f64 x y y) x))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (+.f64 (+.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Outputs
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

3 calls:

9.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
8.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
94.3%3y
99.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes9.0ms (0.1%)

Memory
-24.8MiB live, 14.4MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.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 x) y)
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 x y) x)
(*.f64 (/.f64 (+.f64 x y) y) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
(fma.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) x) x)
(/.f64 x (/.f64 (fma.f64 x y y) x))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Outputs
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.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 x) y)
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 x y) x)
(*.f64 (/.f64 (+.f64 x y) y) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
(fma.f64 x (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) x) x)
(/.f64 x (/.f64 (fma.f64 x y y) x))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
Outputs
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory
-35.4MiB live, 20.6MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.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 x) y)
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 x y) x)
(*.f64 (/.f64 (+.f64 x y) y) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) (fma.f64 x y y))
Outputs
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

2 calls:

6.0ms
x
6.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
96.6%4(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
97.8%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes5.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.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 x) y)
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 x y) x)
(*.f64 (/.f64 (+.f64 x y) y) x)
Outputs
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(fma.f64 x (/.f64 x y) x)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
97.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.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 x) y)
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
Outputs
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

3 calls:

4.0ms
x
4.0ms
y
4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
65.2%3y
89.5%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
89.6%3x
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes9.0ms (0.1%)

Memory
-19.7MiB live, 19.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.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 x) y)
Outputs
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
Calls

2 calls:

5.0ms
x
3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
89.5%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
89.4%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.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)))
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

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
89.4%3x
89.4%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory
-23.9MiB live, 15.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.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 #s(literal 1 binary64) x))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
88.3%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
88.2%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
6 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
Outputs
(/.f64 x y)
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x y)
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
78.9%4x
87.9%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)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(/.f64 x y)
Outputs
(/.f64 x y)
(*.f64 x (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 x y)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
87.7%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
-23.0MiB live, 15.8MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
Calls

3 calls:

3.0ms
y
2.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
44.0%1y
51.2%3x
55.8%2(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes2.0ms (0%)

Memory
4.4MiB live, 4.4MiB 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
49.9%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%)

Memory
11.5MiB live, 11.5MiB 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
x
1.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
1.0ms
y
Results
AccuracySegmentsBranch
14.0%1y
14.0%1x
14.0%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)

bsearch31.0ms (0.3%)

Memory
7.8MiB live, 47.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.027731077202591374
18973429181949388.0
14.0ms
-2.1988821143656251e+49
-7.512394890525275e+43
Samples
18.0ms304×0valid
Compiler

Compiled 434 to 298 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 7.0ms (59% of total)
ival-add: 3.0ms (25.3% of total)
ival-mult: 2.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
-8.7MiB live, 29.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
14.0ms
0.027731077202591374
18973429181949388.0
1.0ms
-2.1988821143656251e+49
-7.512394890525275e+43
Samples
11.0ms160×0valid
Compiler

Compiled 236 to 163 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 4.0ms (54.6% of total)
ival-div: 2.0ms (27.3% of total)
ival-mult: 1.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
2.5MiB live, 41.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
15.0ms
0.027731077202591374
18973429181949388.0
4.0ms
-6260525658588702000.0
-117755437258034.48
Samples
12.0ms208×0valid
Compiler

Compiled 289 to 182 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (45.6% of total)
ival-add: 2.0ms (30.4% of total)
ival-mult: 1.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
17.0MiB live, 53.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.027731077202591374
18973429181949388.0
12.0ms
-2.9137784268154614
-3.870996441738416e-7
Samples
21.0ms304×0valid
Compiler

Compiled 395 to 259 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (49.8% of total)
ival-div: 4.0ms (28.5% of total)
ival-add: 3.0ms (21.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch56.0ms (0.6%)

Memory
-28.4MiB live, 50.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.027731077202591374
18973429181949388.0
36.0ms
-2.9137784268154614
-3.870996441738416e-7
Samples
40.0ms304×0valid
Compiler

Compiled 357 to 240 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (42.7% of total)
ival-add: 3.0ms (32% of total)
ival-mult: 2.0ms (21.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Memory
6.8MiB live, 44.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.027731077202591374
18973429181949388.0
8.0ms
-31816.744814157904
-2428.1391055446315
Samples
13.0ms256×0valid
Compiler

Compiled 284 to 217 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (49.7% of total)
ival-add: 2.0ms (24.9% of total)
ival-mult: 2.0ms (24.9% 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
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1046402828259.8595
1.2901944286258663e+26
0.0ms
-198660437.98857522
-817.756733312804
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch28.0ms (0.3%)

Memory
16.4MiB live, 53.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.027731077202591374
18973429181949388.0
11.0ms
-1553131704.1686563
-90160.90683128088
Samples
17.0ms288×0valid
Compiler

Compiled 304 to 229 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 6.0ms (55.8% of total)
ival-add: 2.0ms (18.6% of total)
ival-mult: 2.0ms (18.6% 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
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.02698281468540713
0.9999999999999881
0.0ms
-198660437.98857522
-817.756733312804
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.5225265297111776
1046402828259.8595
0.0ms
0.02698281468540713
0.9999999999999881
0.0ms
-198660437.98857522
-817.756733312804
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1046402828259.8595
1.2901944286258663e+26
0.0ms
3.9950067231842844e-10
7.333861537327178e-5
0.0ms
-198660437.98857522
-817.756733312804
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
3.9950067231842844e-10
7.333861537327178e-5
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.9950067231842844e-10
7.333861537327178e-5
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify20.0ms (0.2%)

Memory
-10.4MiB live, 31.5MiB allocated
Algorithm
1×egg-herbie
Rules
18×+-commutative_binary64
10×*-commutative_binary64
10×if-if-or-not_binary32
6×sub-neg_binary64
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089414
1120414
2124414
3126414
4127414
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -76000000000000001554404104605699263353061376 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3600000000000000 binary64)) (/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -19999999999999998929805538950963586393744829579264 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 10000000000000000 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -400000000000000000 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1200000000000000 binary64)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) 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 (+.f64 x #s(literal -1 binary64)) 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 -3100 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 48000000 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 -100000000 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 2000000000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(if (<=.f64 x #s(literal -5800000 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 980000 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 -100000000 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 3602879701896397/72057594037927936 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) 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 -100000000 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 3602879701896397/72057594037927936 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) 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 -100000000 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 4835703278458517/9671406556917033397649408 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2000000000000 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 4835703278458517/9671406556917033397649408 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4835703278458517/9671406556917033397649408 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
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(if (<=.f64 x #s(literal -400000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 1200000000000000 binary64)) (*.f64 x (/.f64 (+.f64 x y) (fma.f64 x y y))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) 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 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) 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 -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -3100 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 48000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
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(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000 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 2000000000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
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(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 4835703278458517/9671406556917033397649408 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4835703278458517/9671406556917033397649408 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 4835703278458517/9671406556917033397649408 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.5s (15.5%)

Memory
28.3MiB live, 1 184.5MiB allocated
Rules
21 530×accelerator-lowering-fma.f32
21 530×accelerator-lowering-fma.f64
15 710×accelerator-lowering-fma.f32
15 710×accelerator-lowering-fma.f64
14 112×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090745
1250724
2660648
33422635
09168612
0829
15729
245029
3706529
0804127
02002019
15811874
215901689
370311678
081671608
01347
19047
273247
0877646
02801848
18771765
226011499
082561454
01765
111863
2103363
0870161
01241228
13441178
2909991
34328980
08390954
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 967 to 464 computations (52% saved)

preprocess99.0ms (1%)

Memory
-3.7MiB live, 191.4MiB allocated
Compiler

Compiled 928 to 212 computations (77.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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