Numeric.Log:$clog1p from log-domain-0.10.2.1, A

Time bar (total: 4.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.0s (25.2%)

Memory
24.5MiB live, 1 249.4MiB allocated
Samples
764.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 477.0ms
ival-mult: 324.0ms (67.9% of total)
ival-add: 139.0ms (29.1% of total)
ival-true: 6.0ms (1.3% of total)
exact: 5.0ms (1% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

explain212.0ms (5.3%)

Memory
7.4MiB live, 325.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
37.0ms512×0valid
Compiler

Compiled 135 to 50 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 10.0ms (68.1% of total)
ival-add: 4.0ms (27.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess34.0ms (0.8%)

Memory
0.2MiB live, 38.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051
16849
221546
357845
4113245
5139645
6144545
0811
0139
1209
2309
3329
0328
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
Symmetry

(abs y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify3.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff128
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
cost-diff320
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01326
12026
23026
33226
03225
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y

localize50.0ms (1.2%)

Memory
-15.7MiB live, 23.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy0
(*.f64 x x)
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy0.0078125
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Samples
44.0ms256×0valid
Compiler

Compiled 62 to 18 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 35.0ms (94.3% of total)
ival-add: 2.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
5 → 12
Calls
Call 1
Inputs
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
Outputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms
x
@inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms
x
@0
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms
y
@inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
0.0ms
y
@-inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))

simplify150.0ms (3.7%)

Memory
7.2MiB live, 126.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03676
110176
227276
391376
4276776
5486776
6766676
0840970
Stop Event
iter limit
node limit
Counts
12 → 12
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(+ (* 2 x) (pow x 2))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))

rewrite200.0ms (5%)

Memory
12.3MiB live, 242.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01323
14723
240623
3614823
0810222
Stop Event
iter limit
node limit
iter limit
Counts
5 → 219
Calls
Call 1
Inputs
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))))))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 4 binary64)))) (neg.f64 (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
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(fma.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 y y))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 y y))
(fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y (*.f64 x x)))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(-.f64 (fma.f64 y y (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))))
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 y y))
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval28.0ms (0.7%)

Memory
2.3MiB live, 52.8MiB allocated
Compiler

Compiled 5 970 to 689 computations (88.5% saved)

prune7.0ms (0.2%)

Memory
-21.1MiB live, 17.1MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2215226
Fresh000
Picked101
Done000
Total2225227
Accuracy
100.0%
Counts
227 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
100.0%
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
63.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
62.8%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
45.6%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Compiler

Compiled 134 to 92 computations (31.3% saved)

simplify4.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
cost-diff0
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
cost-diff0
(-.f64 x #s(literal -2 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
cost-diff192
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022116
032108
147106
250106
050106
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
x
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
#s(literal 2 binary64)
x
(*.f64 y y)
y
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
y
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
x
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
x
(*.f64 y y)
y
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
y
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+.f64 #s(literal 2 binary64) x)
(-.f64 x #s(literal -2 binary64))
#s(literal 2 binary64)
x

localize46.0ms (1.2%)

Memory
27.5MiB live, 102.5MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
accuracy0
(+.f64 #s(literal 2 binary64) x)
accuracy0.01171875
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy0
(*.f64 y y)
accuracy0.00390625
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy23.440082359748615
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy0
(-.f64 x #s(literal -2 binary64))
accuracy0.01171875
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
accuracy23.770480190909492
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
accuracy0
(*.f64 y y)
accuracy34.831069775590485
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy0
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy0.00390625
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
Samples
34.0ms256×0valid
Compiler

Compiled 222 to 43 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (47.8% of total)
ival-add: 8.0ms (42.5% of total)
ival-sub: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
-35.2MiB live, 12.0MiB allocated
Counts
13 → 20
Calls
Call 1
Inputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
Outputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 2 (/ (pow y 2) x)))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((+ (* x x) (+ (* y y) (* 2 x))) (+ (* y y) (* 2 x)) (* 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x))
1.0ms
x
@inf
((+ (* x x) (+ (* y y) (* 2 x))) (+ (* y y) (* 2 x)) (* 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x))
1.0ms
y
@inf
((+ (* x x) (+ (* y y) (* 2 x))) (+ (* y y) (* 2 x)) (* 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x))
1.0ms
x
@0
((+ (* x x) (+ (* y y) (* 2 x))) (+ (* y y) (* 2 x)) (* 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x))
1.0ms
y
@-inf
((+ (* x x) (+ (* y y) (* 2 x))) (+ (* y y) (* 2 x)) (* 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) x) (+ 2 x))

simplify268.0ms (6.6%)

Memory
-2.6MiB live, 209.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046114
1143114
2391114
31427114
44033114
08064104
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 2 (/ (pow y 2) x)))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 x)
(-.f64 x #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
x
(* x (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* 2 x) (pow x 2))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))

rewrite211.0ms (5.2%)

Memory
-5.0MiB live, 152.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022101
03293
114591
2114291
0821091
Stop Event
iter limit
node limit
iter limit
Counts
13 → 593
Calls
Call 1
Inputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(-.f64 x #s(literal -2 binary64))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (-.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (-.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (-.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))) (*.f64 (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) (-.f64 (*.f64 y y) (*.f64 (-.f64 x #s(literal -2 binary64)) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y)) (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))) (*.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y)) (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y)) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(+.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (fma.f64 x x #s(literal -4 binary64)) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (*.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (*.f64 (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))) #s(literal -8 binary64))) (*.f64 (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64))) (neg.f64 (-.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))))
(-.f64 x #s(literal -2 binary64))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) x)
(+.f64 x #s(literal 2 binary64))

eval66.0ms (1.6%)

Memory
0.7MiB live, 37.9MiB allocated
Compiler

Compiled 9 281 to 1 003 computations (89.2% saved)

prune6.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3163319
Fresh000
Picked145
Done000
Total3177324
Accuracy
100.0%
Counts
324 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
62.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))
63.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
62.8%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
20.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
45.6%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
44.8%
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
Compiler

Compiled 110 to 76 computations (30.9% saved)

simplify4.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))
cost-diff192
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
cost-diff0
#s(approx (- x -2) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02079
02475
13973
24573
04570
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
#s(approx (- x -2) #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
x
#s(literal 2 binary64)
(*.f64 x x)
Outputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
#s(approx (- x -2) #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
x
#s(literal 2 binary64)
(*.f64 x x)

localize64.0ms (1.6%)

Memory
-14.3MiB live, 24.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.0078125
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
accuracy23.770480190909492
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))
accuracy0.01171875
(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
accuracy23.770480190909492
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
accuracy33.83732985040485
#s(approx (- x -2) #s(literal 2 binary64))
accuracy0
(*.f64 x x)
accuracy35.33387868309327
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
Samples
56.0ms256×0valid
Compiler

Compiled 142 to 37 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-add: 39.0ms (81.3% of total)
ival-mult: 8.0ms (16.7% of total)
ival-sub: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
7 → 16
Calls
Call 1
Inputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
#s(approx (- x -2) #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))
Outputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (* x x) (+ (* y y) (* 2 x))) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)))
1.0ms
x
@inf
((+ (* x x) (+ (* y y) (* 2 x))) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)))
0.0ms
x
@0
((+ (* x x) (+ (* y y) (* 2 x))) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)))
0.0ms
y
@inf
((+ (* x x) (+ (* y y) (* 2 x))) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)))
0.0ms
y
@-inf
((+ (* x x) (+ (* y y) (* 2 x))) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)))

simplify138.0ms (3.4%)

Memory
17.0MiB live, 60.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03784
110984
228484
399484
4314084
5623684
0838478
Stop Event
iter limit
node limit
Counts
16 → 15
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* 2 x)
(* x (+ 2 x))
2
(+ 2 x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 x)
(-.f64 x #s(literal -2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
x
(* x (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(+ (* 2 x) (pow x 2))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))

rewrite175.0ms (4.3%)

Memory
10.1MiB live, 84.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071
02467
110465
278865
0830062
Stop Event
iter limit
node limit
iter limit
Counts
7 → 71
Calls
Call 1
Inputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
#s(approx (- x -2) #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))
Outputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
(*.f64 x #s(approx (- x -2) #s(literal 2 binary64)))
#s(approx (- x -2) #s(literal 2 binary64))
(*.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) x) (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(*.f64 (fma.f64 x x #s(literal -4 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) x))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) x))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) x) (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
(*.f64 x (-.f64 x #s(literal -2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 x x #s(literal -4 binary64)))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -4 binary64)))) (neg.f64 (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -2 binary64)) x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -4 binary64))) (*.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64))))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal -2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 (-.f64 x #s(literal -2 binary64)) x))

eval36.0ms (0.9%)

Memory
-28.2MiB live, 10.2MiB allocated
Compiler

Compiled 2 228 to 288 computations (87.1% saved)

prune5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New85085
Fresh000
Picked033
Done044
Total85792
Accuracy
100.0%
Counts
92 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
62.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))
63.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
62.8%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
20.5%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
45.6%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
44.8%
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
Compiler

Compiled 240 to 114 computations (52.5% saved)

regimes17.0ms (0.4%)

Memory
16.3MiB live, 16.3MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Outputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
Calls

5 calls:

3.0ms
y
3.0ms
x
3.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
100.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
100.0%1(*.f64 y y)
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes165.0ms (4.1%)

Memory
-17.4MiB live, 28.1MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
Outputs
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
Calls

5 calls:

153.0ms
y
3.0ms
x
3.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
100.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
100.0%1(*.f64 y y)
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes13.0ms (0.3%)

Memory
16.3MiB live, 16.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 x x)))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
Calls

5 calls:

3.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
93.0%3x
87.9%2y
70.8%2(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
92.2%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
87.9%2(*.f64 y y)
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes92.0ms (2.3%)

Memory
-26.1MiB live, 11.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Calls

4 calls:

85.0ms
(*.f64 y y)
2.0ms
x
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
y
Results
AccuracySegmentsBranch
87.9%2y
87.9%2(*.f64 y y)
75.3%3x
74.6%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes6.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
Calls

3 calls:

2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
y
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
74.6%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
69.8%2y
69.8%2(*.f64 y y)
Compiler

Compiled 11 to 11 computations (0% saved)

regimes7.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
Outputs
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
Calls

5 calls:

1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
y
1.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
1.0ms
x
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
44.8%1y
44.8%1(*.f64 y y)
44.8%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
44.8%1x
44.8%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.7945644243933453e+111
2.528032441452355e+127
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch15.0ms (0.4%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
7.572072848359377e-30
1.9365454536335775e-10
Samples
7.0ms176×0valid
Compiler

Compiled 344 to 266 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (53.3% of total)
ival-add: 1.0ms (26.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.7945644243933453e+111
2.528032441452355e+127
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify120.0ms (3%)

Memory
-5.7MiB live, 32.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036153
143153
248153
350153
451153
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) #s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
(if (<=.f64 (*.f64 y y) #s(literal 817040425928351/4951760157141521099596496896 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))
Outputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) #s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) #s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
(if (<=.f64 (*.f64 y y) #s(literal 817040425928351/4951760157141521099596496896 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 4999999999999999650599673463152198642336665750694884246307948430823614916415456951880981793447127233788614017024 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))

soundness815.0ms (20.2%)

Memory
-32.1MiB live, 450.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01323
14723
240623
3614823
0810222
046114
1143114
2391114
31427114
44033114
08064104
03676
110176
227276
391376
4276776
5486776
6766676
0840970
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 324 to 125 computations (61.4% saved)

preprocess42.0ms (1%)

Memory
18.8MiB live, 100.9MiB allocated
Remove

(abs y)

Compiler

Compiled 368 to 116 computations (68.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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