Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, B

Time bar (total: 9.8s)

analyze11.0ms (0.1%)

Memory
29.6MiB live, 29.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.3s (13%)

Memory
-129.9MiB live, 1 684.3MiB allocated
Samples
977.0ms8 256×0valid
17.0ms269×0invalid
Precisions
Click to see histograms. Total time spent on operations: 737.0ms
ival-div: 333.0ms (45.2% of total)
ival-mult: 230.0ms (31.2% of total)
ival-sqrt: 68.0ms (9.2% of total)
ival-add: 47.0ms (6.4% of total)
ival-sub: 38.0ms (5.2% of total)
exact: 11.0ms (1.5% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess292.0ms (3%)

Memory
-11.8MiB live, 255.5MiB allocated
Algorithm
1×egg-herbie
Rules
3 216×lower-fma.f64
3 216×lower-fma.f32
1 344×lower-*.f32
1 338×lower-*.f64
1 274×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03078
18464
230462
3127262
4359262
5584362
6755962
01214
01914
13412
27512
318612
432412
542512
684112
7170712
8262712
9335812
10354312
11357312
12357412
13357412
14377612
15402112
16449112
17449112
18449112
0449111
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))

explain148.0ms (1.5%)

Memory
10.3MiB live, 325.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
00-0-(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
00-0-(sqrt.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
00-0-#s(literal 9 binary64)
00-0-(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
00-0-(*.f64 x #s(literal 9 binary64))
00-0-y
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
53.0ms512×0valid
Compiler

Compiled 134 to 52 computations (61.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sqrt: 13.0ms (38.1% of total)
ival-mult: 9.0ms (26.4% of total)
ival-div: 6.0ms (17.6% of total)
ival-sub: 2.0ms (5.9% of total)
ival-add: 2.0ms (5.9% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify266.0ms (2.7%)

Memory
-21.6MiB live, 220.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Rules
3 216×lower-fma.f64
3 216×lower-fma.f32
1 344×lower-*.f32
1 338×lower-*.f64
546×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
01949
13441
27541
318641
432441
542541
684141
7170741
8262741
9335841
10354341
11357341
12357441
13357441
14377641
15402141
16449141
17449141
18449141
0449140
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
y
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)

localize34.0ms (0.3%)

Memory
16.3MiB live, 94.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.2% of total)
ival-div: 2.0ms (18.6% of total)
ival-sqrt: 2.0ms (18.6% of total)
ival-sub: 1.0ms (9.3% of total)
ival-add: 1.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
5 → 84
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))>
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))>
Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1/9 x)>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt y>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
x
@0
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
x
@-inf
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
x
@-inf
(* 3 (sqrt x))
1.0ms
x
@inf
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))

rewrite387.0ms (3.9%)

Memory
-39.1MiB live, 420.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 628×lower-fma.f64
5 628×lower-fma.f32
4 000×lower-*.f32
3 994×lower-*.f64
2 686×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232
01932
16626
252126
3647626
0829525
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 202
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 81 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
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(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))) (-.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (fma.f64 y y (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 y y (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 y y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 y (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 (+.f64 y (/.f64 #s(literal -1/9 binary64) x)) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))))
(*.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))))
(*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))))
(*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))))
(*.f64 (neg.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) (fma.f64 y (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(*.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) (fma.f64 y y (*.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(*.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (-.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))

simplify357.0ms (3.6%)

Memory
-7.8MiB live, 393.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 212×lower-fma.f64
9 212×lower-fma.f32
4 246×lower-*.f64
4 246×lower-*.f32
2 696×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072570
1195543
2610543
32210541
46078541
08442509
Stop Event
1×iter limit
1×node limit
Counts
84 → 80
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (* (sqrt x) y))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (* (sqrt x) y))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x y)) x)
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(+ y (* 1/9 (/ 1 x)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))

eval34.0ms (0.3%)

Memory
4.9MiB live, 78.4MiB allocated
Compiler

Compiled 6 600 to 749 computations (88.7% saved)

prune44.0ms (0.5%)

Memory
18.8MiB live, 100.7MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New26220282
Fresh000
Picked011
Done000
Total26221283
Accuracy
100.0%
Counts
283 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
99.4%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
▶61.5%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
79.0%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
99.3%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
99.0%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
▶99.4%
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
52.4%
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
▶99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
68.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64)))
95.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) #s(literal 1 binary64)))
▶64.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
✓99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
68.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))) #s(literal 1 binary64)))
99.4%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
62.7%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
64.7%
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
▶34.6%
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
67.3%
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
36.2%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 712 to 480 computations (32.6% saved)

simplify373.0ms (3.8%)

Memory
-11.3MiB live, 334.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(sqrt.f64 (*.f64 x (*.f64 x x)))
✓cost-diff0
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
✓cost-diff0
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
✓cost-diff0
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓cost-diff320
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓cost-diff0
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓cost-diff0
(+.f64 y #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
✓cost-diff128
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Rules
6 672×lower-fma.f32
6 666×lower-fma.f64
2 320×lower--.f32
2 316×lower--.f64
2 256×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029181
053170
197170
2172170
3318166
4425166
5547166
6997166
71870166
83175166
94563166
105573166
116187166
126437166
136504166
146870166
157206166
167962166
08658166
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/9 binary64)
y
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
#s(literal 3 binary64)
y
#s(literal -3 binary64)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
(sqrt.f64 x)
Outputs
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/9 binary64)
y
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))) x)
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))
#s(literal 3 binary64)
y
#s(literal -3 binary64)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(sqrt.f64 x)

localize125.0ms (1.3%)

Memory
19.5MiB live, 264.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓accuracy97.4%
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
✓accuracy81.3%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
✓accuracy66.4%
(sqrt.f64 (*.f64 x (*.f64 x x)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
✓accuracy99.6%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.4%
(/.f64 #s(literal 1/9 binary64) x)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
✓accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
✓accuracy99.7%
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.4%
(/.f64 #s(literal 1/9 binary64) x)
Samples
70.0ms244×0valid
3.0ms7×1valid
3.0ms5×2valid
Compiler

Compiled 191 to 34 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 28.0ms (50.1% of total)
const: 9.0ms (16.1% of total)
ival-div: 6.0ms (10.7% of total)
ival-add: 6.0ms (10.7% of total)
ival-sqrt: 4.0ms (7.2% of total)
ival-sub: 2.0ms (3.6% of total)
adjust: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series177.0ms (1.8%)

Memory
-11.4MiB live, 32.6MiB allocated
Counts
17 → 288
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))>
#<alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))>
#<alt (/.f64 #s(literal 1/9 binary64) x)>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)>
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))>
#<alt (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)>
#<alt (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))>
#<alt (sqrt.f64 (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))>
Outputs
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (* -3 (sqrt x))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* -1 x)) x)>
#<alt (/ (+ 1/9 (* -1 x)) x)>
#<alt (/ (+ 1/9 (* -1 x)) x)>
#<alt -1>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt -1>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (/ 1/9 x)>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt y>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* 1/3 (sqrt x))>
#<alt (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))>
#<alt (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))>
#<alt (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))>
#<alt (* (sqrt (pow x 3)) (- (* 3 y) 3))>
#<alt (* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))>
#<alt (* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))>
#<alt (* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))>
#<alt (* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))>
#<alt (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))>
#<alt (+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))>
#<alt (+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))>
#<alt (+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))>
#<alt (* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))>
#<alt (* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

72 calls:

TimeVariablePointExpression
160.0ms
x
@-inf
(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)
3.0ms
y
@-inf
(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)
1.0ms
y
@-inf
(* y (* (sqrt x) 3))
1.0ms
y
@0
(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)
1.0ms
x
@0
(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)

rewrite334.0ms (3.4%)

Memory
-10.1MiB live, 544.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 780×lower-*.f32
5 762×lower-*.f64
4 460×lower-/.f32
4 454×lower-/.f64
2 608×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029122
053112
1205109
21504109
08544109
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 513
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 y #s(literal -1 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
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simplify659.0ms (6.7%)

Memory
30.9MiB live, 498.6MiB allocated
Algorithm
1×egg-herbie
Rules
16 178×lower-fma.f64
16 178×lower-fma.f32
5 170×lower-*.f64
5 170×lower-*.f32
2 998×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01642484
14752327
215842312
335952311
083882176
Stop Event
1×iter limit
1×node limit
Counts
288 → 280
Calls
Call 1
Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1/9 x)
(/ (+ 1/9 (* -1 x)) x)
(/ (+ 1/9 (* -1 x)) x)
(/ (+ 1/9 (* -1 x)) x)
-1
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
-1
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (sqrt x) (- (* 3 y) 3))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* 1/3 (sqrt x))
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))
(* (sqrt (pow x 3)) (- (* 3 y) 3))
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(* 3 (* (sqrt (pow x 3)) y))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(* 3 (* (sqrt (pow x 3)) y))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(- y 1)
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(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* (sqrt (pow x 3)) (- (* 3 y) 3))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* (pow x 2) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64))))))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))

eval302.0ms (3.1%)

Memory
-27.1MiB live, 148.7MiB allocated
Compiler

Compiled 19 616 to 1 828 computations (90.7% saved)

prune172.0ms (1.7%)

Memory
19.6MiB live, 141.2MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New92918947
Fresh6915
Picked325
Done011
Total93830968
Accuracy
100.0%
Counts
968 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
61.5%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
▶45.7%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
81.0%
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)
79.0%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
26.4%
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) x)
18.6%
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x)
36.1%
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)
99.0%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
95.5%
(*.f64 (/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
36.1%
(*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓99.4%
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
62.7%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
64.7%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
34.6%
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
34.7%
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
64.7%
(*.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
68.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64)))
▶64.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
✓99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
2.2%
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))
▶99.4%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
62.7%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
64.7%
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
▶29.7%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
34.6%
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
✓34.6%
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
38.4%
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
▶36.2%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 828 to 565 computations (31.8% saved)

simplify380.0ms (3.9%)

Memory
-17.1MiB live, 141.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(sqrt.f64 (*.f64 x (*.f64 x x)))
✓cost-diff0
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
✓cost-diff0
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓cost-diff320
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓cost-diff0
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
✓cost-diff0
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
Rules
3 992×lower-fma.f32
3 988×lower-fma.f64
1 692×lower-*.f32
1 674×lower-*.f64
1 068×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027144
049136
179130
2127130
3218128
4291128
5522128
6943128
71453128
82187128
92888128
103674128
113960128
124294128
134615128
144730128
154892128
165247128
176475128
186962128
197026128
207026128
217026128
07026128
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(sqrt.f64 x)
x
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
#s(literal 3 binary64)
y
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal -3 binary64)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
(sqrt.f64 x)
Outputs
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(sqrt.f64 x)
x
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
#s(literal 3 binary64)
y
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -3 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal -3 binary64)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(sqrt.f64 x)

localize200.0ms (2%)

Memory
7.2MiB live, 199.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓accuracy82.9%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
✓accuracy66.4%
(sqrt.f64 (*.f64 x (*.f64 x x)))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
✓accuracy99.5%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
✓accuracy99.5%
(/.f64 #s(literal 1/3 binary64) x)
Samples
50.0ms246×0valid
32.0ms4×2valid
2.0ms6×1valid
Compiler

Compiled 150 to 31 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 15.0ms (41.6% of total)
ival-div: 6.0ms (16.7% of total)
ival-sqrt: 5.0ms (13.9% of total)
const: 4.0ms (11.1% of total)
ival-add: 3.0ms (8.3% of total)
adjust: 1.0ms (2.8% of total)
ival-sub: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
18 → 240
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))>
#<alt (sqrt.f64 x)>
#<alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))>
#<alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))>
#<alt (*.f64 (sqrt.f64 x) #s(literal -3 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)>
#<alt (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))>
#<alt (sqrt.f64 (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (/.f64 #s(literal 1/3 binary64) x)>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))>
Outputs
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (* 3 y)>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (- (* 3 y) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (* 3 y) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt (/ (+ 1/3 (* -3 x)) x)>
#<alt -3>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt -3>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (* -3 (sqrt x))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (* -3 (sqrt x))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* 1/3 (sqrt x))>
#<alt (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))>
#<alt (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))>
#<alt (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))>
#<alt (* -3 (sqrt (pow x 3)))>
#<alt (* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* -3 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* -1 x)) x)>
#<alt (/ (+ 1/9 (* -1 x)) x)>
#<alt (/ (+ 1/9 (* -1 x)) x)>
#<alt -1>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt -1>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

60 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (+ (* (sqrt (* x (* x x))) -3) (* 1/3 (sqrt x))) x)
1.0ms
x
@-inf
(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))
0.0ms
x
@0
(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))
0.0ms
y
@0
(* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x))))
0.0ms
x
@inf
(/ (+ (* (sqrt (* x (* x x))) -3) (* 1/3 (sqrt x))) x)

rewrite570.0ms (5.8%)

Memory
-13.4MiB live, 473.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 510×lower-fma.f32
6 506×lower-fma.f64
4 262×lower-*.f32
4 244×lower-*.f64
3 870×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027115
049107
116195
2112395
0848594
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 554
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(sqrt.f64 x)
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(/.f64 #s(literal 1/3 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
Outputs
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 3 binary64) y))))
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y))) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) (sqrt.f64 x)))) (/.f64 (*.f64 x (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 3 binary64) y))))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 3 binary64) y))))
(fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) (sqrt.f64 x))) (-.f64 (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 x (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal -3 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 9 binary64) (*.f64 y y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal -3 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (sqrt.f64 x))))
(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (fma.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 x (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) (sqrt.f64 x))))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal -3 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 y y))))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 9 binary64) (*.f64 y y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x))))) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (sqrt.f64 x)) (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal -3 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)))) (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 27 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) (neg.f64 (fma.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 x (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (neg.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) (sqrt.f64 x)))))
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(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) x)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))) (+.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))

simplify419.0ms (4.3%)

Memory
11.7MiB live, 722.0MiB allocated
Algorithm
1×egg-herbie
Rules
14 890×lower-fma.f64
14 890×lower-fma.f32
4 546×lower-*.f64
4 546×lower-*.f32
2 724×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121742
13001621
29671586
326731586
464471586
085741504
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (sqrt x) (- (* 3 y) 3))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* 1/3 (/ 1 x)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(* 3 y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(/ 1/3 x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
(/ (+ 1/3 (* -3 x)) x)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
-3
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(- (* 1/3 (/ 1 x)) 3)
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* 1/3 (sqrt x))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(* -3 (sqrt (pow x 3)))
(* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* -3 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/9 x)
(/ (+ 1/9 (* -1 x)) x)
(/ (+ 1/9 (* -1 x)) x)
(/ (+ 1/9 (* -1 x)) x)
-1
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
-1
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(- (* 1/9 (/ 1 x)) 1)
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* -3 x)) x)
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)
-3
#s(literal -3 binary64)
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(* -3 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64))
(* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (*.f64 x x))
(* -3 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(* (pow x 2) (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 x x))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (+ 1/9 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (+ 1/9 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
-1
#s(literal -1 binary64)
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
-1
#s(literal -1 binary64)
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))

eval140.0ms (1.4%)

Memory
-1.2MiB live, 276.4MiB allocated
Compiler

Compiled 16 873 to 1 827 computations (89.2% saved)

prune108.0ms (1.1%)

Memory
5.8MiB live, 325.4MiB allocated
Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New84221863
Fresh101222
Picked235
Done033
Total85439893
Accuracy
100.0%
Counts
893 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
77.3%
(fma.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
▶56.6%
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
56.6%
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)
56.6%
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 x #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)
79.0%
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))) (-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))))
55.9%
(/.f64 (-.f64 (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 x (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) (sqrt.f64 x))))
18.6%
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x)
10.9%
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64)) x)
36.1%
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)
36.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
36.2%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
29.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64))
▶36.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))
36.1%
(*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓99.4%
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
62.7%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
▶99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
64.7%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
34.6%
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
34.7%
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
64.7%
(*.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
✓64.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
✓99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
2.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
99.4%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))
70.1%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
99.5%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
62.7%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
71.4%
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) x)))
36.1%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
▶99.5%
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
64.7%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
▶3.2%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓29.7%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
34.6%
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
✓34.6%
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
38.4%
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
✓36.2%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 994 to 682 computations (31.4% saved)

simplify235.0ms (2.4%)

Memory
-10.3MiB live, 392.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) x)
✓cost-diff192
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
✓cost-diff960
(fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
✓cost-diff128
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓cost-diff0
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
✓cost-diff0
(+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
Rules
4 288×lower-fma.f32
4 284×lower-fma.f64
3 396×lower-*.f32
3 382×lower-*.f64
2 086×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025135
044132
182128
2158128
3335128
4435128
5484128
6642128
7901128
81504126
92729126
104943126
116691126
08227125
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(sqrt.f64 x)
x
(+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
#s(literal 3 binary64)
y
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal -3 binary64)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 1/3 binary64)
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(sqrt.f64 x)
x
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
#s(literal 3 binary64)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
#s(literal 1/3 binary64)
Outputs
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
(+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))
(fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
#s(literal 3 binary64)
y
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal -3 binary64)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 1/3 binary64)
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))))
(sqrt.f64 x)
x
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (-.f64 y (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
#s(literal 3 binary64)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize100.0ms (1%)

Memory
6.2MiB live, 239.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
✓accuracy99.7%
(*.f64 (sqrt.f64 x) x)
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
✓accuracy82.9%
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
✓accuracy99.7%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
✓accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1/9 binary64) x)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓accuracy100.0%
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
✓accuracy99.9%
(+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))
✓accuracy99.5%
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
✓accuracy99.5%
(/.f64 #s(literal 1/3 binary64) x)
Samples
56.0ms234×0valid
5.0ms10×2valid
4.0ms10×1valid
1.0ms2×3valid
Compiler

Compiled 142 to 29 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 14.0ms (31.9% of total)
ival-add: 11.0ms (25.1% of total)
const: 8.0ms (18.2% of total)
ival-div: 7.0ms (16% of total)
ival-sqrt: 2.0ms (4.6% of total)
adjust: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
20.7MiB live, 20.7MiB allocated
Counts
16 → 264
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))>
#<alt (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))>
#<alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))>
#<alt (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))>
#<alt (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)>
#<alt (*.f64 (sqrt.f64 x) x)>
#<alt (/.f64 #s(literal 1/3 binary64) x)>
#<alt (/.f64 #s(literal 1/9 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))>
Outputs
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (- (* 1/3 (/ 1 x)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)>
#<alt (* 3 y)>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x)>
#<alt (- (* 3 y) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (* 3 y) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)>
#<alt (/ 1/3 x)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (* 3 y)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (* 3 y)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)>
#<alt (* (sqrt x) (- y 1))>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))>
#<alt (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))>
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* 1/3 (sqrt x))>
#<alt (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))>
#<alt (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))>
#<alt (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))>
#<alt (* -3 (sqrt (pow x 3)))>
#<alt (* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* 3 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)>
#<alt (* -3 (sqrt x))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

66 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* (/ 1 (sqrt x)) 1/3)
1.0ms
x
@-inf
(/ (+ (* (* (sqrt x) x) -3) (* 1/3 (sqrt x))) x)
0.0ms
x
@0
(* (sqrt x) (+ (+ (* 3 y) (/ 1/3 x)) -3))
0.0ms
x
@-inf
(* (sqrt x) x)
0.0ms
x
@-inf
(+ (* (* (sqrt x) x) -3) (* 1/3 (sqrt x)))

rewrite436.0ms (4.4%)

Memory
-31.0MiB live, 610.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 346×lower-*.f32
5 332×lower-*.f64
4 708×lower-/.f32
4 700×lower-/.f64
3 648×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025106
044104
117298
2139598
0880896
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 512
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(sqrt.f64 x)
(+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(*.f64 (sqrt.f64 x) x)
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
Outputs
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
(-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)))
(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) #s(literal -27 binary64))) (-.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 9 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -9 binary64))) (fma.f64 #s(literal 3 binary64) y (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) #s(literal -27 binary64)) (sqrt.f64 x)) (-.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 9 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) #s(literal -27 binary64)))) (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 9 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -9 binary64)))) (neg.f64 (fma.f64 #s(literal 3 binary64) y (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) #s(literal -27 binary64)) (sqrt.f64 x))) (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal 9 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -9 binary64)) (sqrt.f64 x))) (neg.f64 (fma.f64 #s(literal 3 binary64) y (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))
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(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)))) x) (/.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))))) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 x (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))))))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/27 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/9 binary64))) (*.f64 x (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/27 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))) x))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/27 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 x (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/9 binary64)))) (neg.f64 (*.f64 x (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/27 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/27 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/9 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))) x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/27 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 x (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x))
(*.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/27 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))))))
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))) x) (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/9 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
(*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))

simplify338.0ms (3.4%)

Memory
26.6MiB live, 415.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 418×lower-fma.f64
10 418×lower-fma.f32
4 096×lower-*.f64
4 096×lower-*.f32
1 986×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01742159
15072159
216392105
335072105
478962105
084201976
Stop Event
1×iter limit
1×node limit
Counts
264 → 262
Calls
Call 1
Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(* (sqrt x) (- (* 3 y) 3))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* 1/3 (/ 1 x)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(* 3 y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(/ 1/3 x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(/ 1/3 x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/9 (sqrt (/ 1 x)))
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x)
(* (sqrt x) (- y 1))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(* (sqrt x) y)
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* 1/3 (sqrt x))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x)))
(* -3 (sqrt (pow x 3)))
(* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* (pow x 2) (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
(* -3 (sqrt x))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- (* 1/3 (/ 1 x)) 3)
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 (sqrt x))
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(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* 1/3 (sqrt x))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))

eval117.0ms (1.2%)

Memory
-7.2MiB live, 218.0MiB allocated
Compiler

Compiled 18 545 to 2 255 computations (87.8% saved)

prune153.0ms (1.6%)

Memory
-7.2MiB live, 254.3MiB allocated
Pruning

37 alts after pruning (26 fresh and 11 done)

PrunedKeptTotal
New9154919
Fresh62228
Picked055
Done066
Total92137958
Accuracy
100.0%
Counts
958 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(fma.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
99.4%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
✓56.6%
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
56.6%
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)
79.0%
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))) (-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))))
55.9%
(/.f64 (-.f64 (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 x (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) (sqrt.f64 x))))
18.6%
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x)
10.9%
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64)) x)
56.6%
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x)
36.1%
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)
36.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
36.2%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
29.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64))
✓36.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))
✓99.4%
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
62.7%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
36.1%
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
✓99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
34.6%
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
34.7%
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
64.7%
(*.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
✓64.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
✓99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
2.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
70.1%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
99.5%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
62.7%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
71.4%
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) x)))
36.1%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
✓99.5%
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
64.7%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
✓3.2%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
✓29.7%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
34.6%
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
✓34.6%
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
38.4%
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
✓36.2%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 1 338 to 553 computations (58.7% saved)

regimes57.0ms (0.6%)

Memory
15.3MiB live, 90.9MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64)) x)
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 x #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) x (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 x (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(*.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(fma.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 x (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)))) (-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
Outputs
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
Calls

3 calls:

19.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
18.0ms
x
17.0ms
y
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes26.0ms (0.3%)

Memory
-6.0MiB live, 35.7MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
Outputs
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
Calls

3 calls:

10.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
7.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
98.3%3y
97.9%2(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes20.0ms (0.2%)

Memory
3.4MiB live, 42.4MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Outputs
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
Calls

3 calls:

7.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
86.1%3y
91.8%3(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
89.2%2x
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory
13.8MiB live, 13.9MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) x)
Outputs
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
Calls

1 calls:

5.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
91.3%3(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes11.0ms (0.1%)

Memory
-14.2MiB live, 25.1MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal 3 binary64)))
Outputs
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
Calls

3 calls:

4.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
62.7%1y
62.7%1x
62.7%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory
-19.0MiB live, 19.3MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
Calls

3 calls:

4.0ms
x
3.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
3.0ms
y
Results
AccuracySegmentsBranch
40.9%2x
61.6%3y
56.0%3(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
Outputs
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
61.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
Outputs
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
61.5%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
Outputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
Calls

3 calls:

2.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
29.7%1x
31.7%2(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
29.7%1y
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Outputs
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Calls

2 calls:

1.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
1.0ms
y
Results
AccuracySegmentsBranch
29.7%1y
29.7%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch19.0ms (0.2%)

Memory
-14.4MiB live, 26.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
2.9020779958870356e-9
0.180926905591361
Samples
12.0ms144×0valid
Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (34.1% of total)
ival-div: 1.0ms (17.1% of total)
ival-sub: 1.0ms (17.1% of total)
ival-add: 1.0ms (17.1% of total)
ival-sqrt: 1.0ms (17.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.677418695621783e+152
2.0425023654402415e+155
0.0ms
-9.940665693386437e+73
-9.815881907803946e+72
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.677418695621783e+152
2.0425023654402415e+155
0.0ms
-0.4924060286753804
6187.627967857624
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch28.0ms (0.3%)

Memory
4.2MiB live, 42.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
7.783798520691172e-10
7.56806840287616e-6
11.0ms
-8.923864566653938e-24
-5.021342982042048e-25
Samples
17.0ms240×0valid
Compiler

Compiled 259 to 212 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.5% of total)
ival-div: 2.0ms (19.7% of total)
ival-sqrt: 2.0ms (19.7% of total)
ival-sub: 1.0ms (9.9% of total)
ival-add: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.783798520691172e-10
7.56806840287616e-6
1.0ms
-8.923864566653938e-24
-5.021342982042048e-25
Compiler

Compiled 259 to 212 computations (18.1% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.783798520691172e-10
7.56806840287616e-6
1.0ms
-8.923864566653938e-24
-5.021342982042048e-25
Compiler

Compiled 259 to 212 computations (18.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.4924060286753804
6187.627967857624
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify11.0ms (0.1%)

Memory
-21.2MiB live, 17.4MiB allocated
Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
10×+-commutative_binary64
4×unsub-neg_binary64
4×sub-neg_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055245
176245
280245
383245
486245
589245
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(if (<=.f64 y #s(literal -5988969657808517/680564733841876926926749214863536422912 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (if (<=.f64 y #s(literal 8854437155380585/1180591620717411303424 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(if (<=.f64 y #s(literal -5988969657808517/680564733841876926926749214863536422912 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (if (<=.f64 y #s(literal 8854437155380585/1180591620717411303424 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))
(if (<=.f64 y #s(literal -5988969657808517/680564733841876926926749214863536422912 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 8854437155380585/1180591620717411303424 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
Outputs
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(if (<=.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(if (<=.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (if (<=.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(if (<=.f64 y #s(literal -5988969657808517/680564733841876926926749214863536422912 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (if (<=.f64 y #s(literal 8854437155380585/1180591620717411303424 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(if (<=.f64 y #s(literal -5988969657808517/680564733841876926926749214863536422912 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 y #s(literal 8854437155380585/1180591620717411303424 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -5988969657808517/680564733841876926926749214863536422912 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (if (<=.f64 y #s(literal 8854437155380585/1180591620717411303424 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))
(if (<=.f64 y #s(literal -5988969657808517/680564733841876926926749214863536422912 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 y #s(literal 8854437155380585/1180591620717411303424 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))
(if (<=.f64 y #s(literal -5988969657808517/680564733841876926926749214863536422912 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (if (<=.f64 y #s(literal 8854437155380585/1180591620717411303424 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(if (<=.f64 (*.f64 (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))

soundness1.3s (13.7%)

Memory
16.0MiB live, 961.6MiB allocated
Rules
16 178×lower-fma.f64
16 178×lower-fma.f32
14 890×lower-fma.f64
14 890×lower-fma.f32
9 212×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121742
13001621
29671586
326731586
464471586
085741504
072570
1195543
2610543
32210541
46078541
08442509
029122
053112
1205109
21504109
08544109
01642484
14752327
215842312
335952311
083882176
027115
049107
116195
2112395
0848594
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 569 to 308 computations (45.9% saved)

preprocess65.0ms (0.7%)

Memory
35.0MiB live, 154.2MiB allocated
Compiler

Compiled 564 to 160 computations (71.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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