Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

Time bar (total: 9.3s)

analyze39.0ms (0.4%)

Memory
-48.9MiB live, 43.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.1s (12.2%)

Memory
-6.8MiB live, 899.0MiB allocated
Samples
856.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 431.0ms
ival-div: 255.0ms (59.2% of total)
ival-add: 111.0ms (25.8% of total)
ival-mult: 51.0ms (11.8% of total)
ival-true: 5.0ms (1.2% of total)
exact: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess223.0ms (2.4%)

Memory
-0.8MiB live, 45.4MiB 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)))

explain213.0ms (2.3%)

Memory
1.2MiB live, 116.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
320-0-(/.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/n320
↳(/.f64 x y)overflow29
↳(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))overflow61
↳(+.f64 (/.f64 x y) #s(literal 1 binary64))overflow29
Confusion
Predicted +Predicted -
+320
-0224
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3200
-00224
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0224
132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
129.0ms512×0valid
Compiler

Compiled 94 to 36 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-add: 48.0ms (80.6% of total)
ival-div: 8.0ms (13.4% of total)
ival-mult: 3.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶88.2%
(/.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)

simplify15.0ms (0.2%)

Memory
14.2MiB live, 14.3MiB 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))

localize71.0ms (0.8%)

Memory
-10.7MiB live, 30.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓accuracy88.2%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Samples
54.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.4% of total)
ival-add: 2.0ms (24.2% of total)
ival-mult: 2.0ms (24.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB 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))

rewrite542.0ms (5.8%)

Memory
-5.8MiB live, 316.3MiB 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)))

simplify630.0ms (6.8%)

Memory
-6.4MiB live, 1 272.6MiB 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))

eval58.0ms (0.6%)

Memory
4.3MiB live, 160.2MiB allocated
Compiler

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

prune108.0ms (1.2%)

Memory
23.3MiB live, 184.5MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New49312505
Fresh000
Picked101
Done000
Total49412506
Accuracy
100.0%
Counts
506 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.8%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
51.7%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
88.2%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
36.1%
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
95.1%
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
40.3%
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
▶41.3%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
▶49.3%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
40.7%
(/.f64 x y)
▶99.9%
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
43.8%
(*.f64 x (/.f64 x (fma.f64 x y y)))
▶36.6%
x
Compiler

Compiled 232 to 142 computations (38.8% saved)

simplify263.0ms (2.8%)

Memory
0.5MiB live, 549.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓cost-diff128
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓cost-diff896
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
✓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 x (+.f64 x #s(literal 1 binary64)))
✓cost-diff128
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
Rules
4 490×accelerator-lowering-fma.f32
4 490×accelerator-lowering-fma.f64
3 824×*-lowering-*.f32
3 824×*-lowering-*.f64
2 386×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01583
14781
29081
320081
433981
559481
6165381
7287481
8438281
9693281
0830679
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ x (+ x 1)) (+ (/ x y) 1))
(/ x (+ x 1))
x
(+ 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) 1)) x)
(* x (+ (/ x y) 1))
x
(+ (/ x y) 1)
(/ x y)
y
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))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ 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) 1)) x)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ x y) 1))
(fma.f64 x (/.f64 x y) x)
x
(+ (/ x y) 1)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
y
1
#s(literal 1 binary64)

localize59.0ms (0.6%)

Memory
4.6MiB live, 126.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓accuracy88.1%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
Samples
37.0ms256×0valid
Compiler

Compiled 88 to 17 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 11.0ms (48.8% of total)
ival-add: 7.0ms (31.1% of total)
ival-mult: 5.0ms (22.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-27.0MiB live, 11.2MiB allocated
Counts
10 → 192
Calls
Call 1
Inputs
#<alt (* (/ x (+ x 1)) (+ (/ x y) 1))>
#<alt (/ x (+ x 1))>
#<alt (+ x 1)>
#<alt (+ (/ x y) 1)>
#<alt (+ (* (/ 1 y) (+ x -1)) 1)>
#<alt (/ 1 y)>
#<alt (+ x -1)>
#<alt (/ (* x (+ (/ x y) 1)) x)>
#<alt (* x (+ (/ x y) 1))>
#<alt (/ x y)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 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 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 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 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
Calls

48 calls:

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

rewrite386.0ms (4.1%)

Memory
5.2MiB live, 846.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 034×/-lowering-/.f32
5 034×/-lowering-/.f64
4 640×*-lowering-*.f32
4 640×*-lowering-*.f64
3 978×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
111156
2101356
0840153
Stop Event
1×iter limit
1×node limit
Counts
10 → 953
Calls
Call 1
Inputs
(* (/ x (+ x 1)) (+ (/ x y) 1))
(/ x (+ x 1))
(+ x 1)
(+ (/ x y) 1)
(+ (* (/ 1 y) (+ x -1)) 1)
(/ 1 y)
(+ x -1)
(/ (* x (+ (/ x y) 1)) x)
(* x (+ (/ x y) 1))
(/ x y)
Outputs
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y))) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 x (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 (/.f64 x y) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 y x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(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 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 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 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x y) (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(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))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x)) (/.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 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))) (/.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) (-.f64 #s(literal 0 binary64) x)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) 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 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 y x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x (/.f64 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 #s(literal 0 binary64) x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y) (/.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 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) 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 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) 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 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(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 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y) x (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) y) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) y) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 x y) (+.f64 x #s(literal 1 binary64))) x (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 x y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 x y) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.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) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) 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 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (/.f64 x y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 x (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))))
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(*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 x (/.f64 (*.f64 x x) y))
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(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)) (-.f64 (/.f64 (*.f64 x x) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) y) x)))
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 x x) y))
(fma.f64 x (/.f64 x y) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) x x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) y) x)
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(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 x (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)) (*.f64 x x))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) x) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) y) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 x x) y) x))
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(/.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) x)) (neg.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) y) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (*.f64 x x) y) x)))
(/.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 (*.f64 x x) y) (/.f64 (*.f64 x x) y)) (*.f64 x (/.f64 (*.f64 x x) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) y) x)))))
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(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
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(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))

simplify853.0ms (9.2%)

Memory
19.3MiB live, 782.2MiB allocated
Algorithm
1×egg-herbie
Rules
14 330×accelerator-lowering-fma.f32
14 330×accelerator-lowering-fma.f64
4 220×*-lowering-*.f32
4 220×*-lowering-*.f64
2 498×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251270
13541216
29151042
343391030
082591005
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 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
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 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)))
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 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
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 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (fma.f64 x x #s(literal 0 binary64)))))) x (/.f64 #s(literal -1 binary64) x)))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(fma.f64 x (/.f64 (*.f64 (+.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 (fma.f64 x x #s(literal 0 binary64)) (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 (* -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 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
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 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(/ (- (+ x y) 1) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
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 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(/ (+ (* x y) (pow x 2)) y)
(*.f64 x (/.f64 (+.f64 x y) y))
(/ (+ (* x y) (pow x 2)) y)
(*.f64 x (/.f64 (+.f64 x y) y))
(/ (+ (* x y) (pow x 2)) y)
(*.f64 x (/.f64 (+.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 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)

eval176.0ms (1.9%)

Memory
-11.4MiB live, 453.5MiB allocated
Compiler

Compiled 29 804 to 2 943 computations (90.1% saved)

prune166.0ms (1.8%)

Memory
25.9MiB live, 380.2MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New1 36391 372
Fresh257
Picked145
Done000
Total1 366181 384
Accuracy
100.0%
Counts
1 384 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.8%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
52.9%
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
▶51.7%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
▶88.2%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
37.8%
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x y y))
▶40.1%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
40.3%
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
✓49.3%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
40.7%
(/.f64 x y)
53.1%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
14.5%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓99.9%
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
▶41.2%
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
43.8%
(*.f64 x (/.f64 x (fma.f64 x y y)))
39.3%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
51.6%
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓36.6%
x
▶15.4%
#s(literal 1 binary64)
Compiler

Compiled 267 to 172 computations (35.6% saved)

simplify232.0ms (2.5%)

Memory
-1.9MiB live, 155.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(-.f64 (/.f64 x y) x)
✓cost-diff0
(fma.f64 x (-.f64 (/.f64 x y) x) x)
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓cost-diff-64
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(fma.f64 (/.f64 x y) x x)
✓cost-diff0
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
Rules
2 400×accelerator-lowering-fma.f32
2 400×accelerator-lowering-fma.f64
1 064×*-lowering-*.f32
1 064×*-lowering-*.f64
598×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01780
14480
28380
319980
436280
563480
6119480
7202480
8263380
9296180
10311380
11311580
12311980
13332980
14348780
15356080
16357580
17357980
18359180
19359380
20359380
0359375
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ (* (/ x y) x) x) (+ x 1))
(+ (* (/ x y) x) x)
(/ x y)
x
y
(+ x 1)
1
1
(* x (+ (* x (+ x -1)) 1))
x
(+ (* x (+ x -1)) 1)
(+ x -1)
-1
1
(/ (+ x -1) y)
(+ x -1)
x
-1
y
(+ (* x (- (/ x y) x)) x)
x
(- (/ x y) x)
(/ x y)
y
Outputs
(/ (+ (* (/ x y) x) x) (+ x 1))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))
(+ (* (/ x y) x) x)
(fma.f64 x (/.f64 x y) x)
(/ x y)
(/.f64 x y)
x
y
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(* x (+ (* x (+ x -1)) 1))
(fma.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* x (+ x -1)) 1)
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(/ (+ x -1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
y
(+ (* x (- (/ x y) x)) x)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
x
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(/ x y)
(/.f64 x y)
y

localize63.0ms (0.7%)

Memory
0.2MiB live, 129.7MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 (/.f64 x y) x)
✓accuracy99.9%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓accuracy100.0%
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy99.9%
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 (/.f64 x y) x x)
✓accuracy88.2%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
Samples
39.0ms256×0valid
Compiler

Compiled 77 to 19 computations (75.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 12.0ms (44.9% of total)
ival-div: 8.0ms (30% of total)
ival-add: 6.0ms (22.5% of total)
ival-sub: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-17.2MiB live, 21.7MiB allocated
Counts
10 → 192
Calls
Call 1
Inputs
#<alt (/ (+ (* (/ x y) x) x) (+ x 1))>
#<alt (+ (* (/ x y) x) x)>
#<alt (/ x y)>
#<alt (+ x 1)>
#<alt (+ (* x (+ x -1)) 1)>
#<alt (+ x -1)>
#<alt (* x (+ (* x (+ x -1)) 1))>
#<alt (/ (+ x -1) y)>
#<alt (+ (* x (- (/ x y) x)) x)>
#<alt (- (/ x y) 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 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) 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 (/ 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)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (/ 1 x)))>
#<alt (* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (/ 1 x) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))>
#<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 x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* (pow x 2) (- (/ 1 y) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))>
#<alt (* -1 (* (pow x 2) (- 1 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (* -1 (pow x 2)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (/ (+ x (* -1 (* x y))) y)>
#<alt (* -1 x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (* -1 x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
#<alt (- (/ x y) x)>
Calls

48 calls:

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

rewrite452.0ms (4.8%)

Memory
11.0MiB live, 917.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 596×accelerator-lowering-fma.f32
11 596×accelerator-lowering-fma.f64
5 118×*-lowering-*.f32
5 118×*-lowering-*.f64
3 722×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01762
112062
2105262
0875757
Stop Event
1×iter limit
1×node limit
Counts
10 → 753
Calls
Call 1
Inputs
(/ (+ (* (/ x y) x) x) (+ x 1))
(+ (* (/ x y) x) x)
(/ x y)
(+ x 1)
(+ (* x (+ x -1)) 1)
(+ x -1)
(* x (+ (* x (+ x -1)) 1))
(/ (+ x -1) y)
(+ (* x (- (/ x y) x)) x)
(- (/ x y) x)
Outputs
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x))
(+.f64 (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 (*.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))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 x (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 x 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)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x))))
(/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (+.f64 x (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (*.f64 (+.f64 x (/.f64 x y)) (*.f64 x x))) (*.f64 (+.f64 x (/.f64 x y)) (+.f64 x (/.f64 x y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 x y)))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) (*.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y)))))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))) (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y))))) (+.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x (/.f64 x y))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 x y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)) #s(literal -1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x))
(*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))))
(*.f64 (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (-.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))))))
(*.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 (+.f64 x (/.f64 x y)) (*.f64 (-.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))))))
(*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 x y)))))

simplify394.0ms (4.2%)

Memory
-5.0MiB live, 754.7MiB allocated
Algorithm
1×egg-herbie
Rules
13 116×accelerator-lowering-fma.f32
13 116×accelerator-lowering-fma.f64
4 332×*-lowering-*.f32
4 332×*-lowering-*.f64
2 100×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01491336
14231300
211251145
350441142
081581088
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 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) 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))
(/ 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)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- x 1)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- x 1))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(/ -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)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ x y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
Outputs
x
(* 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 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(*.f64 x (fma.f64 x (-.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #s(literal 1 binary64)))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.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 (fma.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/ 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 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(*.f64 x (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) x) (/.f64 x y))
(/ (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))))
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)
(fma.f64 x (/.f64 x y) #s(literal 0 binary64))
(* (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)
(fma.f64 x (/.f64 x y) #s(literal 0 binary64))
(* (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)
(fma.f64 x (/.f64 x y) #s(literal 0 binary64))
(/ (+ (* 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 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))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- x 1)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
x
(* 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))))
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 3) (- 1 (/ 1 x)))
(*.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(*.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/ -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)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (/ 1 y) 1))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(*.f64 x (-.f64 (/.f64 x y) x))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(/ (pow x 2) y)
(fma.f64 x (/.f64 x y) #s(literal 0 binary64))
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (fma.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 x x #s(literal 0 binary64))) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (fma.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 x x #s(literal 0 binary64))) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (fma.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 x x #s(literal 0 binary64))) 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 (-.f64 #s(literal 1 binary64) y)) y)
(/ (+ x (* -1 (* x y))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(/ (+ x (* -1 (* x y))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(* -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)

eval127.0ms (1.4%)

Memory
38.1MiB live, 268.4MiB allocated
Compiler

Compiled 20 383 to 2 048 computations (90% saved)

prune122.0ms (1.3%)

Memory
-24.7MiB live, 252.3MiB allocated
Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New1 06751 072
Fresh279
Picked055
Done134
Total1 070201 090
Accuracy
100.0%
Counts
1 090 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) x)
51.6%
(fma.f64 x (/.f64 x y) x)
✓51.7%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
39.3%
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
✓88.2%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
37.8%
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x y y))
✓40.1%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
40.3%
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
✓49.3%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
40.7%
(/.f64 x y)
▶53.1%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
▶14.5%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓99.9%
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
▶40.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
✓41.2%
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
▶8.8%
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
43.8%
(*.f64 x (/.f64 x (fma.f64 x y y)))
▶39.3%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓36.6%
x
✓15.4%
#s(literal 1 binary64)
Compiler

Compiled 271 to 172 computations (36.5% saved)

simplify41.0ms (0.4%)

Memory
17.4MiB live, 56.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓cost-diff-64
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
✓cost-diff-64
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Rules
416×accelerator-lowering-fma.f32
416×accelerator-lowering-fma.f64
264×*-lowering-*.f32
264×*-lowering-*.f64
136×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01759
14255
27455
310955
415155
520355
627855
743755
858555
966155
1072355
1174655
1275855
1377855
1478855
078855
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ 1 (/ x y))
1
(/ x y)
x
y
(* x (- 1 x))
x
(- 1 x)
1
(* x (+ (* x x) 0))
x
(+ (* x x) 0)
0
(+ 1 (/ -1 x))
1
(/ -1 x)
-1
x
(* (/ 1 y) (+ x -1))
(/ 1 y)
1
y
(+ x -1)
x
-1
Outputs
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(/ x y)
(/.f64 x y)
x
y
(* x (- 1 x))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
x
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(* x (+ (* x x) 0))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ 1 (/ -1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(* (/ 1 y) (+ x -1))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)

localize58.0ms (0.6%)

Memory
-1.3MiB live, 73.1MiB allocated
Localize:

Found 11 expressions of interest:

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

Compiled 63 to 19 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 6.0ms (32.1% of total)
ival-mult: 6.0ms (32.1% of total)
ival-add: 5.0ms (26.7% of total)
ival-sub: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
11 → 168
Calls
Call 1
Inputs
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (- 1 x)>
#<alt (* x (- 1 x))>
#<alt (+ (* x x) 0)>
#<alt (* x (+ (* x x) 0))>
#<alt (+ 1 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (* (/ 1 y) (+ x -1))>
#<alt (/ 1 y)>
#<alt (+ x -1)>
Outputs
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ (- x 1) y)>
#<alt (/ -1 y)>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (- (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
Calls

42 calls:

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

rewrite392.0ms (4.2%)

Memory
6.5MiB live, 512.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 344×accelerator-lowering-fma.f32
8 344×accelerator-lowering-fma.f64
3 552×*-lowering-*.f32
3 552×*-lowering-*.f64
3 492×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01745
111341
296041
0907241
Stop Event
1×iter limit
1×node limit
Counts
11 → 644
Calls
Call 1
Inputs
(+ 1 (/ x y))
(/ x y)
(- 1 x)
(* x (- 1 x))
(+ (* x x) 0)
(* x (+ (* x x) 0))
(+ 1 (/ -1 x))
(/ -1 x)
(* (/ 1 y) (+ x -1))
(/ 1 y)
(+ x -1)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(-.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)))))) (neg.f64 (-.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 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.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 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y))))) (/.f64 #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 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
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(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))

simplify276.0ms (3%)

Memory
12.5MiB live, 304.8MiB allocated
Algorithm
1×egg-herbie
Rules
5 688×accelerator-lowering-fma.f32
5 688×accelerator-lowering-fma.f64
2 862×*-lowering-*.f32
2 862×*-lowering-*.f64
1 434×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040616
195598
2198598
3466598
41573598
55540598
68000598
08023598
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(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)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -1 x)
(/ (- x 1) x)
(/ (- x 1) x)
(/ (- x 1) x)
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* -1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x (+ 1 (* -1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x (+ 1 (* -1 x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 x) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

eval98.0ms (1.1%)

Memory
1.0MiB live, 194.5MiB allocated
Compiler

Compiled 12 783 to 1 467 computations (88.5% saved)

prune102.0ms (1.1%)

Memory
5.9MiB live, 204.4MiB allocated
Pruning

22 alts after pruning (11 fresh and 11 done)

PrunedKeptTotal
New8075812
Fresh167
Picked235
Done088
Total81022832
Accuracy
100.0%
Counts
832 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.3%
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
51.7%
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) x)
51.6%
(fma.f64 x (/.f64 x y) x)
✓51.7%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
✓88.2%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
37.8%
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x y y))
✓40.1%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
40.3%
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
✓49.3%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
40.7%
(/.f64 x y)
2.3%
(/.f64 #s(literal -1 binary64) x)
✓53.1%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓99.9%
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓40.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
40.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓41.2%
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
43.8%
(*.f64 x (/.f64 x (fma.f64 x y y)))
✓39.3%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
6.6%
(*.f64 x (-.f64 #s(literal 0 binary64) x))
8.8%
(*.f64 x (*.f64 x x))
✓36.6%
x
✓15.4%
#s(literal 1 binary64)
Compiler

Compiled 394 to 169 computations (57.1% saved)

regimes33.0ms (0.3%)

Memory
-10.4MiB live, 69.4MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 x (/.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x y y))
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) x)
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.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 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
Outputs
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
Calls

3 calls:

11.0ms
x
11.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
9.0ms
y
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)

regimes29.0ms (0.3%)

Memory
-14.6MiB live, 63.5MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 x (/.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x y y))
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) x)
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

3 calls:

10.0ms
y
9.0ms
x
8.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%3x
88.2%1y
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)

regimes24.0ms (0.3%)

Memory
-41.8MiB live, 47.1MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 x (/.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x y y))
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) x)
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) x)
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
Calls

2 calls:

14.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
8.0ms
x
Results
AccuracySegmentsBranch
97.8%6(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
98.0%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 x (/.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
97.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-19.4MiB live, 19.9MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 x (/.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 x (/.f64 x y) x)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
97.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory
-2.6MiB live, 36.7MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

3 calls:

6.0ms
y
5.0ms
x
5.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
67.5%3y
87.2%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
86.9%3x
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes10.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
86.2%3x
86.4%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)

regimes10.0ms (0.1%)

Memory
-20.5MiB live, 18.8MiB allocated
Counts
12 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
Outputs
(/.f64 x y)
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x y)
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
73.2%3x
85.1%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)

regimes5.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
11 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
Outputs
(/.f64 x y)
(*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 x y)
Calls

1 calls:

4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
84.8%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)

regimes4.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
10 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x y)
Outputs
(/.f64 x y)
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
#s(literal 1 binary64)
(/.f64 x y)
Calls

1 calls:

3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
84.6%4(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes12.0ms (0.1%)

Memory
-11.7MiB live, 28.8MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) x)
Outputs
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
#s(literal 1 binary64)
(*.f64 x (*.f64 x x))
Calls

3 calls:

5.0ms
y
3.0ms
x
3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
39.3%1y
50.6%4x
54.0%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) x x)
Outputs
(fma.f64 x (-.f64 #s(literal 0 binary64) x) x)
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
52.3%2(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes2.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
52.3%2(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes2.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x (-.f64 #s(literal 0 binary64) x))
Outputs
(*.f64 x (-.f64 #s(literal 0 binary64) x))
x
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
51.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
Outputs
x
#s(literal 1 binary64)
Calls

1 calls:

1.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
48.7%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)

regimes5.0ms (0.1%)

Memory
-28.1MiB live, 11.0MiB 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:

2.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
15.4%1y
15.4%1x
15.4%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)

bsearch5.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
1.0ms
115504684417294.17
1400727117095252200.0
3.0ms
-7.549072187886534e+23
-1.362570041486966e+20
Samples
3.0ms48×0valid
Compiler

Compiled 79 to 55 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (65.6% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Memory
27.1MiB live, 27.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.7590173466182463
17379.369390573254
12.0ms
-109347.88808129658
-0.19348364951385477
Samples
14.0ms272×0valid
Compiler

Compiled 390 to 251 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.3% of total)
ival-add: 2.0ms (24.1% of total)
ival-mult: 2.0ms (24.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
-11.6MiB live, 26.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.7590173466182463
17379.369390573254
13.0ms
-109347.88808129658
-0.19348364951385477
Samples
15.0ms272×0valid
Compiler

Compiled 339 to 217 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (41.9% of total)
ival-add: 4.0ms (41.9% of total)
ival-mult: 2.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
-11.5MiB live, 26.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.7590173466182463
17379.369390573254
12.0ms
-109347.88808129658
-0.19348364951385477
Samples
14.0ms272×0valid
Compiler

Compiled 305 to 200 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (47.1% of total)
ival-add: 2.0ms (23.5% of total)
ival-mult: 2.0ms (23.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000004
1.000000000000003
0.0ms
-192549826239.73514
-0.2399004674824364
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7379592011951863
0.999999996076344
0.0ms
-192549826239.73514
-0.2399004674824364
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0000000035205223
8.293996859011527
0.0ms
0.7379592011951863
0.999999996076344
0.0ms
-192549826239.73514
-0.2399004674824364
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0000000035205223
8.293996859011527
0.0ms
0.013841927954620475
0.1634276342089111
0.0ms
-192549826239.73514
-0.2399004674824364
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0000000035205223
8.293996859011527
0.0ms
0.013841927954620475
0.1634276342089111
0.0ms
-192549826239.73514
-0.2399004674824364
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.3562833861790478e+242
2.965582027940055e+260
0.0ms
0.013841927954620475
0.1634276342089111
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.013841927954620475
0.1634276342089111
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.013841927954620475
0.1634276342089111
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.013841927954620475
0.1634276342089111
0.0ms
-192549826239.73514
-0.2399004674824364
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.013841927954620475
0.1634276342089111
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify14.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB allocated
Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
16×+-commutative_binary64
12×if-if-or-not_binary32
8×sub-neg_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078485
1113485
2118485
3121485
4123485
5124485
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -5000000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 200000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 7385903388887613/9007199254740992 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 #s(literal 1 binary64) (/.f64 x 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 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000000 binary64)) (+.f64 #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 4503599627370505/4503599627370496 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #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 -100000000000 binary64)) (+.f64 #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 3602879701896397/4503599627370496 binary64)) (*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 #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 -100000000000 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 3602879701896397/4503599627370496 binary64)) (*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #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 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 -100000000000 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 5764607523034235/288230376151711744 binary64)) (*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000000 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 5764607523034235/288230376151711744 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) x) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) x) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 200000000000000010192205912740054562797105054706227332326192032866135484191283266368381817277781340435213162133635125552283598226549044171823650287604838547152620877648562966288761896029315715236087051230122378454882789355192382501217716142080 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) x) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 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 -100000000000 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 x #s(literal -5000000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 200000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 x #s(literal 7385903388887613/9007199254740992 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 #s(literal 1 binary64) (/.f64 x 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 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000000 binary64)) (+.f64 #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 4503599627370505/4503599627370496 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 4503599627370505/4503599627370496 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #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 -100000000000 binary64)) (+.f64 #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 3602879701896397/4503599627370496 binary64)) (*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 #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 -100000000000 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 3602879701896397/4503599627370496 binary64)) (*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #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 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 3602879701896397/4503599627370496 binary64)) (*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #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 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 -100000000000 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 5764607523034235/288230376151711744 binary64)) (*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #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 2 binary64)) #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000000 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 5764607523034235/288230376151711744 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) x) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000000000 binary64)) (/.f64 x y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) x) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) x) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 200000000000000010192205912740054562797105054706227332326192032866135484191283266368381817277781340435213162133635125552283598226549044171823650287604838547152620877648562966288761896029315715236087051230122378454882789355192382501217716142080 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) x) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 200000000000000010192205912740054562797105054706227332326192032866135484191283266368381817277781340435213162133635125552283598226549044171823650287604838547152620877648562966288761896029315715236087051230122378454882789355192382501217716142080 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) x) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) x) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 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 -100000000000 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 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 -100000000000 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.6s (17.3%)

Memory
8.5MiB live, 1 049.0MiB allocated
Rules
21 530×accelerator-lowering-fma.f32
21 530×accelerator-lowering-fma.f64
14 330×accelerator-lowering-fma.f32
14 330×accelerator-lowering-fma.f64
13 116×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090745
1250724
2660648
33422635
09168612
0829
15729
245029
3706529
0804127
040616
195598
2198598
3466598
41573598
55540598
68000598
08023598
01745
111341
296041
0907241
01491336
14231300
211251145
350441142
081581088
01251270
13541216
29151042
343391030
082591005
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 975 to 383 computations (60.7% saved)

preprocess117.0ms (1.3%)

Memory
-8.4MiB live, 147.7MiB allocated
Compiler

Compiled 1 092 to 188 computations (82.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...