Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

Time bar (total: 9.3s)

analyze29.0ms (0.3%)

Memory
5.1MiB live, 61.9MiB 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)

sample877.0ms (9.5%)

Memory
10.1MiB live, 1 351.0MiB allocated
Samples
634.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 365.0ms
ival-div: 184.0ms (50.5% of total)
ival-add: 110.0ms (30.2% of total)
ival-mult: 57.0ms (15.6% of total)
ival-true: 6.0ms (1.6% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess190.0ms (2.1%)

Memory
-2.1MiB live, 80.7MiB allocated
Algorithm
1×egg-herbie
Rules
2 086×div-sub
1 020×unsub-neg
896×sub-neg
818×distribute-lft-in
792×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02265
18157
220755
368055
4165455
5310955
6444755
7505355
8560955
9605555
10615155
11665355
12706155
13728155
14759355
15781755
16782555
17782555
0811
01311
12611
23511
36311
410011
515711
623811
726911
827511
928911
1029111
1129111
1229211
1329411
1430211
030210
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))

explain234.0ms (2.5%)

Memory
-8.3MiB live, 149.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
280-0-(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
00-0-(/.f64 x y)
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 (/.f64 x y) #s(literal 1 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))o/n280
↳(/.f64 x y)overflow27
↳(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))overflow55
↳(+.f64 (/.f64 x y) #s(literal 1 binary64))overflow27
Confusion
Predicted +Predicted -
+280
-0228
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2800
-00228
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0228
128
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
138.0ms512×0valid
Compiler

Compiled 94 to 36 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-add: 75.0ms (87.4% of total)
ival-div: 7.0ms (8.2% of total)
ival-mult: 3.0ms (3.5% 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
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶89.6%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify17.0ms (0.2%)

Memory
27.7MiB live, 27.7MiB 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×lower-*.f32
164×lower-*.f64
98×associate-*r*
92×lower-fma.f64
92×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
01332
12632
23532
36332
410032
515732
623832
726932
827532
928932
1029132
1129132
1229232
1329432
1430232
030230
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
x
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x y) x)
x
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))

localize58.0ms (0.6%)

Memory
-29.6MiB live, 47.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓accuracy89.7%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Samples
49.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 16.0ms (68.4% of total)
ival-div: 4.0ms (17.1% of total)
ival-add: 4.0ms (17.1% 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
17.3MiB live, 17.3MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 (/.f64 x y) #s(literal 1 binary64))>
#<alt (/.f64 x y)>
#<alt (+.f64 x #s(literal 1 binary64))>
Outputs
#<alt x>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (* x (+ 1 (/ x y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (* (pow x 2) (+ (/ 1 x) (/ 1 y)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt (/ (+ (* x y) (pow x 2)) y)>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt (+ x (/ (pow x 2) y))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

27 calls:

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

rewrite430.0ms (4.6%)

Memory
-24.6MiB live, 393.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 588×lower-*.f32
3 586×lower-*.f64
3 312×lower-/.f32
3 308×lower-/.f64
3 296×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
01329
16229
245429
3706829
0804427
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 397
Calls
Call 1
Inputs
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(+.f64 x #s(literal 1 binary64))
Outputs
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 (/.f64 (*.f64 x x) y) x)
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (/.f64 x y) x)))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 x x) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) y) x)))
(fma.f64 x (/.f64 x y) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 x x) y))
(fma.f64 (/.f64 x y) x x)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 x x) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y) x)
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) y) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 (*.f64 x x) y))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 x) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) x)
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y) x)
(neg.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (*.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)) (fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x)))
(/.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 (*.f64 x x) (*.f64 y y)) (*.f64 x 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) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 x x) y) x))
(/.f64 (fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 x x) y) x))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (*.f64 x x) y) x)))
(/.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) x)) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (-.f64 x (/.f64 (*.f64 x x) y)))
(/.f64 (*.f64 x (neg.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (*.f64 x x))) #s(literal -1 binary64))
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(/.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 (neg.f64 (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 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (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 (*.f64 x 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 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #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 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.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 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (*.f64 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 x (+.f64 x #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 x (+.f64 x #s(literal 1 binary64))))

simplify1.1s (12.1%)

Memory
14.7MiB live, 614.1MiB allocated
Algorithm
1×egg-herbie
Rules
21 530×lower-fma.f64
21 530×lower-fma.f32
4 414×lower-*.f64
4 414×lower-*.f32
3 134×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090745
1250724
2660648
33422635
09168612
Stop Event
1×iter limit
1×node limit
Counts
108 → 102
Calls
Call 1
Inputs
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
x
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(* x (+ 1 (/ x y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 x (/.f64 x y) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 x y)) y)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 x (/.f64 x y) x)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (+.f64 (/.f64 x y) (*.f64 x (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x)
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x x))))))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) x)) x)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval59.0ms (0.6%)

Memory
-0.8MiB live, 151.4MiB allocated
Compiler

Compiled 10 835 to 1 188 computations (89% saved)

prune64.0ms (0.7%)

Memory
13.2MiB live, 215.9MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New48514499
Fresh000
Picked101
Done000
Total48614500
Accuracy
100.0%
Counts
500 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.1%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
49.2%
(fma.f64 (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)
56.7%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
89.7%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
▶34.1%
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
82.1%
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))
▶92.5%
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
89.6%
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
89.7%
(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
38.8%
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x #s(literal 1 binary64)))
52.9%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
▶37.3%
(/.f64 x y)
▶99.9%
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
44.3%
(*.f64 x (/.f64 x (fma.f64 x y y)))
Compiler

Compiled 318 to 194 computations (39% saved)

simplify271.0ms (2.9%)

Memory
-8.1MiB live, 311.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
✓cost-diff512
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) y)
✓cost-diff512
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 x y)
✓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-diff512
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
Rules
5 386×lower-fma.f32
5 384×lower-fma.f64
2 854×lower-*.f32
2 848×lower-*.f64
1 532×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018110
033110
172109
2150109
3253109
4383109
5748109
61043109
71843109
83200109
95894109
08164106
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
(/.f64 x y)
x
y
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#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)))
(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
y
(/.f64 x y)
x
y
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(*.f64 x x)
x
y
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
(/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 x y)
y

localize71.0ms (0.8%)

Memory
-15.0MiB live, 142.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
✓accuracy92.5%
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy89.9%
(/.f64 (*.f64 x x) y)
✓accuracy89.7%
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #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
39.0ms256×0valid
Compiler

Compiled 113 to 21 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 12.0ms (48.4% of total)
ival-add: 6.0ms (24.2% of total)
ival-mult: 6.0ms (24.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-4.5MiB live, 33.6MiB allocated
Counts
13 → 252
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (/.f64 x (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (+.f64 (/.f64 x y) #s(literal 1 binary64))>
#<alt (/.f64 x y)>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))>
#<alt (/.f64 (*.f64 x x) y)>
#<alt (*.f64 x x)>
#<alt (/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)>
#<alt (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 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 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 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (* x y)>
#<alt (* x (+ y (* x (- 1 y))))>
#<alt (* x (+ y (* x (- (+ 1 (* x (- y 1))) y))))>
#<alt (* x (+ y (* x (- (+ 1 (* x (- (+ y (* x (- 1 y))) 1))) y))))>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ 1 x)))>
#<alt (* x (- (+ 1 (+ (/ 1 (pow x 2)) (/ y x))) (+ (/ 1 x) (/ y (pow x 2)))))>
#<alt (* x (- (+ 1 (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 3))))) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ y (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1)))>
#<alt (/ (pow x 2) (+ 1 x))>
#<alt (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))>
#<alt (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))>
#<alt (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))>
#<alt (/ (* x y) (+ 1 x))>
#<alt (* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))>
#<alt (* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))>
#<alt (* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))>
#<alt (/ (* x y) (+ 1 x))>
#<alt (* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))>
Calls

63 calls:

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

rewrite268.0ms (2.9%)

Memory
33.2MiB live, 633.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 708×lower-/.f32
4 696×lower-/.f64
3 862×lower-*.f32
3 856×lower-*.f64
3 652×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01878
03378
115777
2138677
0883676
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 938
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
(+.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 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 x (+.f64 x #s(literal 1 binary64))) (*.f64 #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 #s(literal -1 binary64) x)))
(-.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 (*.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 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 x (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.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 #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 #s(literal -1 binary64) x)) (/.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 x (+.f64 x #s(literal 1 binary64)))) (/.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 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 x x)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(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 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 (-.f64 #s(literal -1 binary64) x) (neg.f64 y))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 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 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (neg.f64 y))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 y x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 y))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) x (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (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 #s(literal -1 binary64) x)) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 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 #s(literal -1 binary64) y) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x (neg.f64 x)) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 x (neg.f64 y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.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))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (neg.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 x (neg.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 (*.f64 x x) y) (fma.f64 x (*.f64 x x) #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 (*.f64 x x) y) (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 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.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 (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) y) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.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 (/.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #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 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 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.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)) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.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 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x 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 -1 binary64) (-.f64 #s(literal -1 binary64) x)) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x 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 #s(literal 1 binary64) y) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x 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 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))))
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(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 x y)) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (+.f64 x y) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x y))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (*.f64 x (+.f64 x y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x y))))
(*.f64 (*.f64 (neg.f64 x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x y))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (*.f64 (neg.f64 x) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (*.f64 x (+.f64 x y))) (/.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 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) (*.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 x y)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (*.f64 (+.f64 x y) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))

simplify400.0ms (4.3%)

Memory
0.8MiB live, 634.4MiB allocated
Algorithm
1×egg-herbie
Rules
12 956×lower-fma.f64
12 956×lower-fma.f32
3 954×lower-*.f64
3 954×lower-*.f32
3 658×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02142182
16412097
218511778
373801749
084481706
Stop Event
1×iter limit
1×node limit
Counts
252 → 243
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 y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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 y)
(* x (+ y (* x (- 1 y))))
(* x (+ y (* x (- (+ 1 (* x (- y 1))) y))))
(* x (+ y (* x (- (+ 1 (* x (- (+ y (* x (- 1 y))) 1))) y))))
x
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (/ y x))) (+ (/ 1 x) (/ y (pow x 2)))))
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 3))))) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ y (pow x 2))))))
x
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1)))
(/ (pow x 2) (+ 1 x))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(/ (* x y) (+ 1 x))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(/ (* x y) (+ 1 x))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (+.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 y))) #s(literal -1 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (+.f64 (+.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 y))) #s(literal -1 binary64)) (*.f64 x x) x)
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x y))) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) (*.f64 x x)) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) x) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) x))) x) (/.f64 x y))
(/ (pow x 2) (* y (+ 1 x)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #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))))
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(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
(/ (* x y) (+ 1 x))
(/.f64 (*.f64 x y) (+.f64 x #s(literal 1 binary64)))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/ (* x y) (+ 1 x))
(/.f64 (*.f64 x y) (+.f64 x #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))

eval267.0ms (2.9%)

Memory
8.1MiB live, 272.8MiB allocated
Compiler

Compiled 24 011 to 2 610 computations (89.1% saved)

prune228.0ms (2.5%)

Memory
2.7MiB live, 256.5MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1 394111 405
Fresh639
Picked415
Done000
Total1 404151 419
Accuracy
100.0%
Counts
1 419 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(fma.f64 (+.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 y))) #s(literal -1 binary64)) (*.f64 x x) x)
56.7%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
49.0%
(/.f64 (/.f64 x y) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
▶82.1%
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))
49.2%
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
37.1%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
49.3%
(/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) y)
▶35.9%
(/.f64 (*.f64 x x) (fma.f64 x y y))
52.9%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
49.0%
(/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
✓37.3%
(/.f64 x y)
80.5%
(*.f64 (+.f64 x y) (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
▶35.9%
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
▶19.7%
(*.f64 x (/.f64 x y))
▶15.2%
#s(literal 1 binary64)
Compiler

Compiled 291 to 179 computations (38.5% saved)

simplify24.0ms (0.3%)

Memory
-19.3MiB live, 19.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
✓cost-diff0
(*.f64 x x)
✓cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
✓cost-diff320
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
✓cost-diff0
(fma.f64 x y y)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) (fma.f64 x y y))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 x (/.f64 x y))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) y)
✓cost-diff0
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))
✓cost-diff128
(+.f64 (/.f64 (*.f64 x x) y) x)
Rules
166×lower-*.f32
158×lower-*.f64
154×times-frac
92×lower-fma.f32
90×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01592
02887
14887
28387
313587
424387
530687
631387
731587
831587
931687
1031887
1132687
032685
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x x) y) x)
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x x)
x
(fma.f64 x y y)
y
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(+.f64 x #s(literal 1 binary64))
y
Outputs
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x x) y) x)
(fma.f64 x (/.f64 x y) x)
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 x x) y)
x
(/.f64 x y)
y
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x x)
x
(fma.f64 x y y)
y
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 x y y)
(+.f64 x #s(literal 1 binary64))
y

localize86.0ms (0.9%)

Memory
-3.9MiB live, 73.7MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
✓accuracy79.9%
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
✓accuracy100.0%
(fma.f64 x y y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy80.0%
(/.f64 (*.f64 x x) (fma.f64 x y y))
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.8%
(*.f64 x (/.f64 x y))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (/.f64 (*.f64 x x) y) x)
✓accuracy89.9%
(/.f64 (*.f64 x x) y)
✓accuracy89.7%
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))
Samples
64.0ms256×0valid
Compiler

Compiled 96 to 18 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 41.0ms (78.3% of total)
ival-div: 8.0ms (15.3% of total)
ival-add: 3.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
11 → 252
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 (*.f64 x x) y) x)>
#<alt (/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))>
#<alt (/.f64 (*.f64 x x) y)>
#<alt (*.f64 x x)>
#<alt (*.f64 x (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (/.f64 (*.f64 x x) (fma.f64 x y y))>
#<alt (fma.f64 x y y)>
#<alt (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))>
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) y)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y))>
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 (/ (- 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 (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ 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 (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))>
#<alt y>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (* -1 (* y (- (* -1 x) 1)))>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt y>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))>
#<alt (/ 1 (* x y))>
#<alt (/ (- (/ 1 y) (/ 1 (* x y))) x)>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) x)>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)) x))>
#<alt (/ 1 (* y (+ 1 x)))>
#<alt (/ 1 (* y (+ 1 x)))>
#<alt (/ 1 (* y (+ 1 x)))>
#<alt (/ 1 (* y (+ 1 x)))>
#<alt (/ 1 (* y (+ 1 x)))>
#<alt (/ 1 (* y (+ 1 x)))>
#<alt (/ 1 (* y (+ 1 x)))>
#<alt (/ 1 (* y (+ 1 x)))>
#<alt (/ 1 (* y (+ 1 x)))>
#<alt (/ 1 (* y (+ 1 x)))>
#<alt (/ 1 (* y (+ 1 x)))>
#<alt (/ 1 (* y (+ 1 x)))>
Calls

63 calls:

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

rewrite478.0ms (5.2%)

Memory
-13.6MiB live, 341.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 382×lower-fma.f32
7 380×lower-fma.f64
5 604×lower-*.f32
5 596×lower-*.f64
4 298×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01569
02864
111764
275664
0831562
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 1 084
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) y) x)
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
(*.f64 x (/.f64 x y))
(/.f64 x y)
(/.f64 (*.f64 x x) (fma.f64 x y y))
(fma.f64 x y y)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
Outputs
(+.f64 x (/.f64 (*.f64 x x) y))
(+.f64 (/.f64 (*.f64 x x) y) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y y))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(-.f64 x (/.f64 (*.f64 x (neg.f64 x)) y))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (/.f64 x y) x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y y))) (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 x x) y))) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (-.f64 x (/.f64 (*.f64 x x) y))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 x x) y))
(fma.f64 x (/.f64 x y) x)
(fma.f64 x (/.f64 (*.f64 (/.f64 (*.f64 x x) y) (/.f64 x y)) (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(fma.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64) x)
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) 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 x y) x x)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 x y) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 (*.f64 x x) y))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (neg.f64 x)) y) x)
(fma.f64 (neg.f64 x) (/.f64 x (neg.f64 y)) x)
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) x) x)
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (neg.f64 x)) x)
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(fma.f64 (/.f64 x (neg.f64 y)) (neg.f64 x) x)
(fma.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(fma.f64 (*.f64 (/.f64 (*.f64 x x) y) (/.f64 x y)) (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (neg.f64 y)) x)
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) y))
(fma.f64 (pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)))) (fma.f64 x (/.f64 x y) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(fma.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x (neg.f64 x))))) (fma.f64 x (fma.f64 x (/.f64 x y) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(neg.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) x))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (-.f64 (/.f64 (*.f64 x x) y) x))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)))) (fma.f64 (/.f64 x y) (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 9 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y))))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x (neg.f64 x))))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x (neg.f64 x))))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y 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 (fma.f64 x x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (fma.f64 x x (/.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 (/.f64 (*.f64 x x) y) x)) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (/.f64 (*.f64 x x) y) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 x x) y) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (*.f64 x x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y y))) (fma.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x))) (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y y))) (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y y)))) (*.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x))) (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y y))) (*.f64 x (/.f64 x (-.f64 (/.f64 (*.f64 x x) y) x)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (neg.f64 x) x))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y))) #s(literal 1 binary64)) (-.f64 x (/.f64 (*.f64 x x) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y)))))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) y) x))) (fma.f64 (*.f64 x x) (fma.f64 x x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) y) x))) (fma.f64 x x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) x)) #s(literal -1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x (/.f64 x y) x) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (-.f64 (/.f64 (*.f64 x x) y) x)))
(*.f64 (fma.f64 x (/.f64 x y) x) (*.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) y) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (/.f64 x y) x)))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x)) (/.f64 (fma.f64 x (/.f64 x y) x) (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x))))
(*.f64 (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x)) (*.f64 (fma.f64 x (/.f64 x y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) y) x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) y) x)) #s(literal 1 binary64)))
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simplify310.0ms (3.3%)

Memory
26.3MiB live, 372.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 562×lower-fma.f64
8 562×lower-fma.f32
3 156×lower-*.f64
3 156×lower-*.f32
2 892×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01441935
14281883
212301769
344571700
082691589
Stop Event
1×iter limit
1×node limit
Counts
252 → 246
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 (/ (- 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))))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ 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)
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))
(/ 1 (* x y))
(/ (- (/ 1 y) (/ 1 (* x y))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) x)
(/ 1 (* x y))
(* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 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 x)))
(/ 1 (* y (+ 1 x)))
(/ 1 (* y (+ 1 x)))
(/ 1 (* y (+ 1 x)))
(/ 1 (* y (+ 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 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
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x #s(literal -1 binary64)))) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 x (+.f64 (/.f64 x y) (*.f64 x (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x)
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(fma.f64 x (*.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))) (/.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))))))
(fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) 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 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(fma.f64 x (*.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))) (/.f64 x 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 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) 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 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)))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(-.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(*.f64 x (*.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(-.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(*.f64 x (*.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 x (/.f64 x (fma.f64 x y y)))
y
(+ y (* x y))
(fma.f64 x y y)
(+ y (* x y))
(fma.f64 x y y)
(+ y (* x y))
(fma.f64 x y y)
(* x y)
(*.f64 x y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(*.f64 x (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 x y) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(-.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(*.f64 x (*.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(-.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(*.f64 x (*.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
y
(+ y (* x y))
(fma.f64 x y y)
(+ y (* x y))
(fma.f64 x y y)
(+ y (* x y))
(fma.f64 x y y)
(* x y)
(*.f64 x y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x y)) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))
(fma.f64 (/.f64 x y) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (- (/ 1 y) (/ 1 (* x y))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) 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 (*.f64 x y)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) x)
(/.f64 (*.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 x #s(literal -1 binary64))) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) 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 (*.f64 x y)))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)) x))
(/.f64 (*.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))
(/ 1 (* y (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y y))

eval165.0ms (1.8%)

Memory
8.4MiB live, 276.1MiB allocated
Compiler

Compiled 28 279 to 2 185 computations (92.3% saved)

prune135.0ms (1.5%)

Memory
19.0MiB live, 336.9MiB allocated
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New1 37351 378
Fresh189
Picked145
Done011
Total1 375181 393
Accuracy
100.0%
Counts
1 393 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(fma.f64 (+.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 y))) #s(literal -1 binary64)) (*.f64 x x) x)
56.7%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
19.7%
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))
✓82.1%
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))
▶49.2%
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
37.1%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
49.3%
(/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) y)
✓35.9%
(/.f64 (*.f64 x x) (fma.f64 x y y))
17.3%
(/.f64 (*.f64 x x) y)
44.4%
(/.f64 x (/.f64 (fma.f64 x y y) x))
▶52.9%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
▶49.0%
(/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
✓37.3%
(/.f64 x y)
▶17.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
▶80.5%
(*.f64 (+.f64 x y) (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
✓19.7%
(*.f64 x (/.f64 x y))
19.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) x))
✓15.2%
#s(literal 1 binary64)
Compiler

Compiled 298 to 183 computations (38.6% saved)

simplify321.0ms (3.5%)

Memory
-9.9MiB live, 437.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓cost-diff192
(/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
✓cost-diff320
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
✓cost-diff0
(+.f64 y #s(literal -1 binary64))
✓cost-diff0
(+.f64 x (+.f64 y #s(literal -1 binary64)))
✓cost-diff0
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(*.f64 (+.f64 x y) (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
✓cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
Rules
7 816×lower-fma.f64
7 816×lower-fma.f32
7 082×lower-*.f32
7 072×lower-*.f64
1 786×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019103
034103
155101
2107101
3172101
4388101
582595
6167195
7366795
8485295
9519095
10577295
11647695
12752695
0818393
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(+.f64 x y)
x
y
(/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(+.f64 x (+.f64 y #s(literal -1 binary64)))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x x)
x
(/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
x
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
y
Outputs
(*.f64 (+.f64 x y) (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 (*.f64 x (+.f64 x y)) (fma.f64 x y y))
(+.f64 x y)
x
y
(/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(/.f64 x (fma.f64 x y y))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 x y y)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(+.f64 x (+.f64 y #s(literal -1 binary64)))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
(*.f64 x (/.f64 x y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x x)
x
(/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
(/.f64 (*.f64 x x) (fma.f64 x y y))
x
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)
(+.f64 y (/.f64 y x))
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
y

localize106.0ms (1.1%)

Memory
0.8MiB live, 117.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓accuracy99.9%
(/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
✓accuracy99.8%
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy89.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 x (+.f64 y #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
✓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 #s(literal 1 binary64)) y)
✓accuracy91.4%
(/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))
✓accuracy89.3%
(*.f64 (+.f64 x y) (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
Samples
82.0ms256×0valid
Compiler

Compiled 105 to 21 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-add: 33.0ms (65.3% of total)
ival-div: 10.0ms (19.8% of total)
ival-mult: 7.0ms (13.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory
-23.7MiB live, 18.3MiB allocated
Counts
15 → 288
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) y)>
#<alt (*.f64 (+.f64 x y) (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))>
#<alt (+.f64 x y)>
#<alt (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))>
#<alt (/.f64 x (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)>
#<alt (+.f64 x (+.f64 y #s(literal -1 binary64)))>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 x x)>
#<alt (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)>
#<alt (/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))>
#<alt (/.f64 (+.f64 x #s(literal 1 binary64)) x)>
Outputs
#<alt y>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt x>
#<alt (* x (+ 1 (* x (- (/ 1 y) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))>
#<alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))>
#<alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (/ x (+ 1 x))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x y)))>
#<alt (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt (/ x (* y (+ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ (- y 1) y)>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (/ x y)>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (- x 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt (/ (- (+ x y) 1) y)>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- y 1)>
#<alt (- (+ x y) 1)>
#<alt (- (+ x y) 1)>
#<alt (- (+ x y) 1)>
#<alt x>
#<alt (* x (- (+ 1 (/ y x)) (/ 1 x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ 1 x)))>
#<alt (* x (- (+ 1 (/ y x)) (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))>
#<alt (- x 1)>
#<alt (- (+ x y) 1)>
#<alt (- (+ x y) 1)>
#<alt (- (+ x y) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ x y)) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ x y)) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ 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 (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 (/ y x)>
#<alt (/ (+ y (* x y)) x)>
#<alt (/ (+ y (* x y)) x)>
#<alt (/ (+ y (* x y)) x)>
#<alt y>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt y>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt (+ y (/ y x))>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (* y (+ 1 x)) x)>
#<alt (/ (pow x 2) y)>
#<alt (* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))>
#<alt (* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ (pow x 2) (* y (+ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
Calls

72 calls:

TimeVariablePointExpression
28.0ms
x
@-inf
(/ (+ x 1) x)
0.0ms
y
@0
(/ x (* (+ x 1) y))
0.0ms
y
@-inf
(/ (+ x (+ y -1)) y)
0.0ms
x
@-inf
(* (/ (+ x 1) x) y)
0.0ms
y
@0
(* (/ (+ x 1) x) y)

rewrite318.0ms (3.4%)

Memory
34.3MiB live, 668.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 580×lower-fma.f64
5 580×lower-fma.f32
5 444×lower-*.f32
5 434×lower-*.f64
5 020×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01983
03483
113381
295381
0894776
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 1 124
Calls
Call 1
Inputs
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (+.f64 x y) (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(+.f64 x y)
(/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(+.f64 x (+.f64 y #s(literal -1 binary64)))
(+.f64 y #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
(/.f64 #s(literal 1 binary64) y)
(*.f64 x x)
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y)
(/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
Outputs
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 x y) y)
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) x)))
(fma.f64 x y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) y)
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 x y))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) y)
(neg.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 y (*.f64 x (*.f64 x x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x y y) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(/.f64 (fma.f64 y (*.f64 x (*.f64 x x)) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 y (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)) y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 y (*.f64 x (*.f64 x x)) y)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) y)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 y y))))) (fma.f64 y y (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 y (*.f64 x y)))))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 y (*.f64 x y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 x y) y))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 y (*.f64 x y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 y y)) (-.f64 (*.f64 x y) y))
(/.f64 (*.f64 y (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 y (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) y) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) y) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (fma.f64 x y y))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x y y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) y))
(*.f64 (fma.f64 y (*.f64 x (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 x (/.f64 x (fma.f64 x y y))) (*.f64 y (/.f64 x (fma.f64 x y y))))
(+.f64 (*.f64 y (/.f64 x (fma.f64 x y y))) (*.f64 x (/.f64 x (fma.f64 x y y))))
(-.f64 (*.f64 y (/.f64 x (fma.f64 x y y))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 x y y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (fma.f64 x y y) x)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (fma.f64 x y y) x)))
(fma.f64 x (/.f64 x (fma.f64 x y y)) (*.f64 y (/.f64 x (fma.f64 x y y))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) y) (*.f64 x (/.f64 x (fma.f64 x y y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 x y y))) (*.f64 y (/.f64 x (fma.f64 x y y))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (fma.f64 x y y))) (*.f64 x (/.f64 x (fma.f64 x y y))))
(fma.f64 y (/.f64 x (fma.f64 x y y)) (*.f64 x (/.f64 x (fma.f64 x y y))))
(fma.f64 (/.f64 x (fma.f64 x y y)) x (*.f64 y (/.f64 x (fma.f64 x y y))))
(fma.f64 (/.f64 x (fma.f64 x y y)) y (*.f64 x (/.f64 x (fma.f64 x y y))))
(fma.f64 (/.f64 x (fma.f64 x y y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 y (/.f64 x (fma.f64 x y y))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y) (*.f64 y (/.f64 x (fma.f64 x y y))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 y x) #s(literal -1 binary64)) (*.f64 y (/.f64 x (fma.f64 x y y))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (/.f64 x (fma.f64 x y y))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (/.f64 x (fma.f64 x y y))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (fma.f64 x y y)))) (*.f64 y (/.f64 x (fma.f64 x y y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 y (/.f64 x (fma.f64 x y y))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) (*.f64 y (/.f64 x (fma.f64 x y y))))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 y (/.f64 x (fma.f64 x y y))))
(fma.f64 (*.f64 x (/.f64 x (fma.f64 x y y))) #s(literal 1 binary64) (*.f64 y (/.f64 x (fma.f64 x y y))))
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(*.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))

simplify417.0ms (4.5%)

Memory
3.3MiB live, 521.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 134×lower-fma.f64
10 134×lower-fma.f32
3 158×lower-*.f64
3 158×lower-*.f32
2 644×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01932010
15681931
215441716
354331644
081301583
Stop Event
1×iter limit
1×node limit
Counts
288 → 269
Calls
Call 1
Inputs
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ (- y 1) y)
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- y 1)
(- (+ x y) 1)
(- (+ x y) 1)
(- (+ x y) 1)
x
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(* x (- (+ 1 (/ y x)) (/ 1 x)))
x
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
(- x 1)
(- (+ x y) 1)
(- (+ x y) 1)
(- (+ x y) 1)
y
(* y (- (+ 1 (/ x y)) (/ 1 y)))
(* y (- (+ 1 (/ x y)) (/ 1 y)))
(* y (- (+ 1 (/ x y)) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ y x)
(/ (+ y (* x y)) x)
(/ (+ y (* x y)) x)
(/ (+ y (* x y)) x)
y
(+ y (/ y x))
(+ y (/ y x))
(+ y (/ y x))
y
(+ y (/ y x))
(+ y (/ y x))
(+ y (/ y x))
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
Outputs
y
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x y))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
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 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 #s(literal 1 binary64) x)))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (+.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 x x) x)
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (+.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) (*.f64 x x)) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y x)))) x) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(fma.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y x)))) x)) x) (/.f64 x y))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 y x)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(fma.f64 x (/.f64 (fma.f64 x x (neg.f64 x)) y) (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(*.f64 x (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x y)))
(/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) (*.f64 x x)) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x y)))
(/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) (*.f64 x x)) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
x
(* x (+ 1 (* -1 x)))
(-.f64 x (*.f64 x x))
(* x (+ 1 (* x (- x 1))))
(fma.f64 x (fma.f64 x x (neg.f64 x)) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(/ (- y 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ x y) 1)
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(- (+ x y) 1)
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(- (+ x y) 1)
(+.f64 y (+.f64 x #s(literal -1 binary64)))
x
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (+ x y) 1)
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(- (+ x y) 1)
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(- (+ x y) 1)
(+.f64 y (+.f64 x #s(literal -1 binary64)))
y
(* y (- (+ 1 (/ x y)) (/ 1 y)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- (+ 1 (/ x y)) (/ 1 y)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(* y (- (+ 1 (/ x y)) (/ 1 y)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
y
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1)))
(+.f64 y (+.f64 x #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ 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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ y x)
(/.f64 y x)
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
(/ (+ y (* x y)) x)
(+.f64 y (/.f64 y x))
y
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
y
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(+ y (/ y x))
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (* y (+ 1 x)) x)
(+.f64 y (/.f64 y x))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(*.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(*.f64 x (fma.f64 x (/.f64 (fma.f64 x x (neg.f64 x)) y) (/.f64 x y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x)))))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x)))))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 x) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))

eval192.0ms (2.1%)

Memory
10.9MiB live, 390.4MiB allocated
Compiler

Compiled 24 239 to 3 294 computations (86.4% saved)

prune212.0ms (2.3%)

Memory
-8.2MiB live, 356.6MiB allocated
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New1 51671 523
Fresh268
Picked145
Done055
Total1 519221 541
Accuracy
100.0%
Counts
1 541 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.2%
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
44.5%
(fma.f64 x (fma.f64 x x (neg.f64 x)) x)
56.7%
(fma.f64 x (-.f64 (/.f64 x y) x) x)
19.7%
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))
✓82.1%
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))
✓49.2%
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
37.1%
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
49.3%
(/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) y)
✓35.9%
(/.f64 (*.f64 x x) (fma.f64 x y y))
17.3%
(/.f64 (*.f64 x x) y)
49.0%
(/.f64 x (+.f64 y (/.f64 y x)))
✓52.9%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓49.0%
(/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
✓37.3%
(/.f64 x y)
43.9%
(-.f64 x (*.f64 x x))
14.3%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
91.0%
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
✓17.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
46.4%
(*.f64 (+.f64 x y) (/.f64 x y))
✓19.7%
(*.f64 x (/.f64 x y))
19.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) x))
✓15.2%
#s(literal 1 binary64)
Compiler

Compiled 517 to 205 computations (60.3% saved)

regimes52.0ms (0.6%)

Memory
-13.4MiB live, 62.4MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 x (*.f64 x x))
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(fma.f64 x (fma.f64 x x (neg.f64 x)) x)
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(*.f64 (+.f64 x y) (/.f64 x y))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
(/.f64 x (+.f64 y (/.f64 y x)))
(/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) y)
(*.f64 (+.f64 x y) (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
(/.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 x (/.f64 (+.f64 x y) y)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/.f64 (+.f64 (/.f64 (*.f64 x x) y) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 y))) #s(literal -1 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 x y) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
Outputs
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
Calls

3 calls:

27.0ms
x
12.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
11.0ms
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)

regimes30.0ms (0.3%)

Memory
23.8MiB live, 59.8MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 x (*.f64 x x))
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(fma.f64 x (fma.f64 x x (neg.f64 x)) x)
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(*.f64 (+.f64 x y) (/.f64 x y))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
(/.f64 x (+.f64 y (/.f64 y x)))
(/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) y)
(*.f64 (+.f64 x y) (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
(/.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 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
Calls

3 calls:

11.0ms
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
96.4%3y
99.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes22.0ms (0.2%)

Memory
-4.8MiB live, 39.8MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 x (*.f64 x x))
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(fma.f64 x (fma.f64 x x (neg.f64 x)) x)
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(*.f64 (+.f64 x y) (/.f64 x y))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
(/.f64 x (+.f64 y (/.f64 y x)))
(/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) y)
(*.f64 (+.f64 x y) (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 x (/.f64 (fma.f64 x y y) x))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 x (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) y))
(/.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
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
Calls

2 calls:

13.0ms
x
8.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.4%4(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
99.9%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 x (*.f64 x x))
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(fma.f64 x (fma.f64 x x (neg.f64 x)) x)
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(*.f64 (+.f64 x y) (/.f64 x y))
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/.f64 (*.f64 x x) (fma.f64 x y y))
Outputs
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(fma.f64 x (-.f64 (/.f64 x y) x) x)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
-9.9MiB live, 29.1MiB allocated
Counts
11 → 5
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 x (*.f64 x x))
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(fma.f64 x (fma.f64 x x (neg.f64 x)) x)
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(*.f64 (+.f64 x y) (/.f64 x y))
Outputs
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(*.f64 (+.f64 x y) (/.f64 x y))
(-.f64 x (*.f64 x x))
(*.f64 (+.f64 x y) (/.f64 x y))
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
Calls

3 calls:

12.0ms
x
4.0ms
y
4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
76.1%5y
90.0%4(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
92.8%5x
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes10.0ms (0.1%)

Memory
-19.7MiB live, 17.8MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 x (*.f64 x x))
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(fma.f64 x (fma.f64 x x (neg.f64 x)) x)
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 x x) y)
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
Outputs
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)
Calls

2 calls:

5.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
4.0ms
x
Results
AccuracySegmentsBranch
86.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
87.5%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 x (*.f64 x x))
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(fma.f64 x (fma.f64 x x (neg.f64 x)) x)
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 x x) y)
Outputs
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
86.5%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
76.9%3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 x (*.f64 x x))
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 x y)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x y)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
86.0%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes2.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 x (*.f64 x x))
(/.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
Outputs
(/.f64 x y)
(-.f64 x (*.f64 x x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x y)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
85.3%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)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 x (*.f64 x x))
(/.f64 x y)
Outputs
(/.f64 x y)
(-.f64 x (*.f64 x x))
#s(literal 1 binary64)
(/.f64 x y)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
85.1%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)

regimes6.0ms (0.1%)

Memory
-27.6MiB live, 11.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 x (*.f64 x x))
Outputs
(-.f64 x (*.f64 x x))
#s(literal 1 binary64)
Calls

3 calls:

2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
43.9%1y
54.1%4x
56.8%2(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0%)

Memory
10.4MiB live, 10.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
1.0ms
y
Results
AccuracySegmentsBranch
15.2%1y
15.2%1x
15.2%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)

bsearch33.0ms (0.4%)

Memory
-34.0MiB live, 44.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
70187645.90436879
838794630.6650815
22.0ms
-30092865627424.316
-117600825.51478735
Samples
21.0ms240×0valid
Compiler

Compiled 361 to 238 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (52.1% of total)
ival-add: 2.0ms (26.1% of total)
ival-mult: 1.0ms (13% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
3.3MiB live, 41.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1343457.6775660634
70187645.90436879
15.0ms
-1270105467072322000.0
-30092865627424.316
Samples
16.0ms240×0valid
Compiler

Compiled 361 to 223 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 7.0ms (63.7% of total)
ival-add: 2.0ms (18.2% of total)
ival-mult: 2.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch59.0ms (0.6%)

Memory
-17.5MiB live, 20.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
44.0ms
0.0006063572026317989
1343457.6775660634
12.0ms
-3.9795530196040194
-0.0013270025004461872
Samples
45.0ms272×0valid
Compiler

Compiled 373 to 234 computations (37.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 35.0ms (88.5% of total)
ival-add: 2.0ms (5.1% of total)
ival-mult: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
11.0MiB live, 11.0MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
3.0ms
0.0006063572026317989
1343457.6775660634
10.0ms
1.2665227795336189e-197
3.422899611582693e-196
14.0ms
-3.975733580476027e-191
-6.122298858390369e-201
1.0ms
-3.9795530196040194
-0.0013270025004461872
Samples
15.0ms304×0valid
Compiler

Compiled 662 to 421 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (44.5% of total)
ival-add: 3.0ms (33.4% of total)
ival-mult: 2.0ms (22.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
-11.6MiB live, 25.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1343457.6775660634
70187645.90436879
12.0ms
-34801.78342278868
-3.9795530196040194
Samples
11.0ms224×0valid
Compiler

Compiled 286 to 208 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (43.4% of total)
ival-add: 2.0ms (28.9% of total)
ival-mult: 1.0ms (14.5% 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
0.1MiB live, 0.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
533466.8560893706
5738968248.6277485
0.0ms
-1.433963145599273e+21
-508027.062800687
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.335620810712373
533466.8560893706
0.0ms
-1.433963145599273e+21
-508027.062800687
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.335620810712373
533466.8560893706
0.0ms
0.0006059897563782978
0.9834664432982444
0.0ms
-1.433963145599273e+21
-508027.062800687
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
533466.8560893706
5738968248.6277485
0.0ms
0.0006059897563782978
0.9834664432982444
0.0ms
-1.433963145599273e+21
-508027.062800687
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0006059897563782978
0.9834664432982444
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify12.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Algorithm
1×egg-herbie
Rules
22×+-commutative_binary64
12×*-commutative_binary64
8×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080396
1100396
2107396
3111396
4113396
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 -28500000000000 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 820000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -12500000000000000 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 70000000 binary64)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal -1565134431155293/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (*.f64 (+.f64 x y) (/.f64 x y)) (if (<=.f64 x #s(literal 6522568517919983/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 x #s(literal 5/4 binary64)) (*.f64 (+.f64 x y) (/.f64 x y)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))))
(if (<=.f64 x #s(literal -6200 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 3700000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000000000 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000000000 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 2 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000000000 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 1152921504606847/1152921504606846976 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000000000 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 1152921504606847/1152921504606846976 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 1000000 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 1152921504606847/1152921504606846976 binary64)) (-.f64 x (*.f64 x 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 -28500000000000 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 820000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -12500000000000000 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 70000000 binary64)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -12500000000000000 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 70000000 binary64)) (*.f64 x (/.f64 (+.f64 x y) (fma.f64 x y y))) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x (-.f64 (/.f64 x y) x) x) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal -1565134431155293/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (*.f64 (+.f64 x y) (/.f64 x y)) (if (<=.f64 x #s(literal 6522568517919983/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 x #s(literal 5/4 binary64)) (*.f64 (+.f64 x y) (/.f64 x y)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))))
(if (<=.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal -1565134431155293/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (*.f64 (/.f64 x y) (+.f64 x y)) (if (<=.f64 x #s(literal 6522568517919983/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 x #s(literal 5/4 binary64)) (*.f64 (/.f64 x y) (+.f64 x y)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))))
(if (<=.f64 x #s(literal -6200 binary64)) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y) (if (<=.f64 x #s(literal 3700000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x (+.f64 y #s(literal -1 binary64))) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000000000 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000000000 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 1000000 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000000000 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 2 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000000000 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 2 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000000000 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 1152921504606847/1152921504606846976 binary64)) (-.f64 x (*.f64 x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000000000000000000000 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 1152921504606847/1152921504606846976 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 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 -1000000000000000000000 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 1152921504606847/1152921504606846976 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 1000000 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 -1000000000000000000000 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 1152921504606847/1152921504606846976 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 1000000 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 1152921504606847/1152921504606846976 binary64)) (-.f64 x (*.f64 x x)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) (-.f64 x (*.f64 x x)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.4s (14.9%)

Memory
17.6MiB live, 1 118.5MiB allocated
Rules
21 530×lower-fma.f64
21 530×lower-fma.f32
12 956×lower-fma.f64
12 956×lower-fma.f32
10 134×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01983
03483
113381
295381
0894776
01878
03378
115777
2138677
0883676
090745
1250724
2660648
33422635
09168612
01932010
15681931
215441716
354331644
081301583
0829
01329
16229
245429
3706829
0804427
02142182
16412097
218511778
373801749
084481706
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 753 to 317 computations (57.9% saved)

preprocess112.0ms (1.2%)

Memory
3.5MiB live, 256.4MiB allocated
Compiler

Compiled 852 to 194 computations (77.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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