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

Time bar (total: 11.2s)

analyze11.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Algorithm
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)

sample1.1s (10.2%)

Memory
9.6MiB live, 1 750.1MiB allocated
Samples
848.0ms8 256×0valid
26.0ms260×0invalid
Precisions
Click to see histograms. Total time spent on operations: 611.0ms
ival-mult: 258.0ms (42.2% of total)
ival-sqrt: 116.0ms (19% of total)
ival-add: 79.0ms (12.9% of total)
ival-sub: 76.0ms (12.4% of total)
ival-div: 62.0ms (10.1% of total)
exact: 11.0ms (1.8% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess333.0ms (3%)

Memory
-28.8MiB live, 305.7MiB allocated
Algorithm
egg-herbie
Rules
3 216×accelerator-lowering-fma.f32
3 216×accelerator-lowering-fma.f64
1 344×*-lowering-*.f32
1 344×*-lowering-*.f64
1 274×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03078
18464
230462
3127262
4359262
5584362
6755962
01214
12712
26812
318112
431912
542212
683812
7169312
8261412
9334712
10353312
11356312
12356412
13356412
14376612
15401112
16450512
17450512
18450512
0450511
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
Outputs
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))

explain457.0ms (4.1%)

Memory
21.3MiB live, 297.4MiB 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
42.0ms512×0valid
Compiler

Compiled 134 to 52 computations (61.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 11.0ms (44.1% of total)
ival-div: 4.0ms (16.1% of total)
ival-sqrt: 4.0ms (16.1% of total)
ival-sub: 2.0ms (8% of total)
ival-add: 2.0ms (8% of total)
ival-true: 1.0ms (4% of total)
exact: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.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)

simplify214.0ms (1.9%)

Memory
8.9MiB live, 164.8MiB allocated
Algorithm
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×accelerator-lowering-fma.f32
3 216×accelerator-lowering-fma.f64
1 344×*-lowering-*.f32
1 344×*-lowering-*.f64
546×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
12741
26841
318141
431941
542241
683841
7169341
8261441
9334741
10353341
11356341
12356441
13356441
14376641
15401141
16450541
17450541
18450541
0450540
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(* 3 (sqrt x))
3
(sqrt x)
x
(- (+ y (/ 1 (* x 9))) 1)
(+ y (/ 1 (* x 9)))
y
(/ 1 (* x 9))
1
(* x 9)
9
Outputs
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(- (+ y (/ 1 (* x 9))) 1)
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(+ y (/ 1 (* x 9)))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/ 1 (* x 9))
(/.f64 #s(literal 1/9 binary64) x)
1
#s(literal 1 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)

localize42.0ms (0.4%)

Memory
-8.4MiB live, 73.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
accuracy99.6%
(*.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 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
27.0ms256×0valid
Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 10.0ms (53.3% of total)
ival-sub: 3.0ms (16% of total)
ival-div: 2.0ms (10.7% of total)
ival-sqrt: 2.0ms (10.7% of total)
ival-add: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
5 → 84
Calls
Call 1
Inputs
#<alt (/ 1 (* x 9))>
#<alt (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))>
#<alt (* 3 (sqrt x))>
#<alt (sqrt x)>
#<alt (- (+ y (/ 1 (* x 9))) 1)>
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 (/ 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 (- 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)>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
y
@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))
0.0ms
y
@-inf
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))

rewrite406.0ms (3.6%)

Memory
-19.8MiB live, 419.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 628×accelerator-lowering-fma.f32
5 628×accelerator-lowering-fma.f64
4 000×*-lowering-*.f32
4 000×*-lowering-*.f64
2 686×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
15928
251428
3646228
0828127
Stop Event
iter limit
node limit
Counts
5 → 259
Calls
Call 1
Inputs
(/ 1 (* x 9))
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
(* 3 (sqrt x))
(sqrt x)
(- (+ y (/ 1 (* x 9))) 1)
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 (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)))))
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(+.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 (*.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) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(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 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(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 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) 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))))
(fma.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)))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.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)) #s(literal -1 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) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
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(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))))))
(*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.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 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) (*.f64 y y))))
(*.f64 (*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))))
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))

simplify646.0ms (5.8%)

Memory
-22.7MiB live, 427.1MiB allocated
Algorithm
egg-herbie
Rules
11 070×accelerator-lowering-fma.f32
11 070×accelerator-lowering-fma.f64
4 714×*-lowering-*.f32
4 714×*-lowering-*.f64
3 382×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079612
1209585
2666585
32175583
47013583
09271551
Stop Event
iter limit
node limit
Counts
84 → 84
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 (/ 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 (- 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)
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) (+.f64 (fma.f64 #s(literal 3 binary64) y #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) (+.f64 (fma.f64 #s(literal 3 binary64) y #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) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #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) (+.f64 (fma.f64 #s(literal 3 binary64) y #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) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #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) (+.f64 (fma.f64 #s(literal 3 binary64) y #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) (+.f64 (fma.f64 #s(literal 3 binary64) y #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 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(-.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)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))

eval91.0ms (0.8%)

Memory
17.3MiB live, 97.6MiB allocated
Compiler

Compiled 9 704 to 859 computations (91.1% saved)

prune94.0ms (0.8%)

Memory
13.8MiB live, 91.4MiB allocated
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New31627343
Fresh000
Picked011
Done000
Total31628344
Accuracy
100.0%
Counts
344 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.3%
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (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 (sqrt.f64 x) #s(literal -3 binary64)))
99.3%
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
99.3%
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
99.3%
(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))))
71.5%
(/.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)
61.9%
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
99.3%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
61.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))))
99.4%
(+.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))))
99.1%
(*.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 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
99.2%
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
99.3%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
61.8%
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
58.4%
(*.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)))
63.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.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)))
96.2%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x))
39.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
99.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
99.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
99.3%
(*.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)))
38.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
60.2%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
99.4%
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
63.7%
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
68.0%
(*.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)))))
38.3%
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
39.3%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 978 to 662 computations (32.3% saved)

simplify410.0ms (3.7%)

Memory
10.8MiB live, 519.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))
cost-diff128
(*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))
cost-diff2880
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y (+.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-diff1216
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
cost-diff0
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
cost-diff128
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
cost-diff0
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
cost-diff0
(+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
Rules
9 240×accelerator-lowering-fma.f32
9 240×accelerator-lowering-fma.f64
3 082×*-lowering-*.f32
3 082×*-lowering-*.f64
2 746×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031224
192224
2275224
3894224
43862224
55697224
08358213
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x)))
(sqrt x)
x
(+ (+ (* 3 y) -3) (/ 1/3 x))
(+ (* 3 y) -3)
3
y
-3
(/ 1/3 x)
1/3
(* 3 (* (sqrt x) y))
3
(* (sqrt x) y)
(sqrt x)
x
y
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)
(* (sqrt x) (+ y (+ (/ 1/9 x) -1)))
(sqrt x)
x
(+ y (+ (/ 1/9 x) -1))
y
(+ (/ 1/9 x) -1)
(/ 1/9 x)
1/9
-1
3
(/ (* 3 (sqrt x)) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(* 3 (sqrt x))
3
(sqrt x)
x
(/ 1 (+ y (+ (/ 1/9 x) -1)))
1
(+ y (+ (/ 1/9 x) -1))
y
(+ (/ 1/9 x) -1)
(/ 1/9 x)
1/9
-1
(/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y)))
(* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)))
(sqrt x)
x
(* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))
3
(+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)
(+ (/ 1/9 x) y)
(/ 1/9 x)
1/9
y
-1
(+ 1 (+ (/ 1/9 x) y))
1
Outputs
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64)))
(sqrt x)
(sqrt.f64 x)
x
(+ (+ (* 3 y) -3) (/ 1/3 x))
(fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64))
(+ (* 3 y) -3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
3
#s(literal 3 binary64)
y
-3
#s(literal -3 binary64)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
3
#s(literal 3 binary64)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
x
y
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64)))
(* (sqrt x) (+ y (+ (/ 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(sqrt x)
(sqrt.f64 x)
x
(+ y (+ (/ 1/9 x) -1))
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
y
(+ (/ 1/9 x) -1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(/ (* 3 (sqrt x)) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64)))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(/ 1 (+ y (+ (/ 1/9 x) -1)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
1
#s(literal 1 binary64)
(+ y (+ (/ 1/9 x) -1))
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
y
(+ (/ 1/9 x) -1)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
-1
#s(literal -1 binary64)
(/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64)))
(* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)))
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))
(sqrt x)
(sqrt.f64 x)
x
(* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))
3
#s(literal 3 binary64)
(+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))
(+ (/ 1/9 x) y)
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)
y
-1
#s(literal -1 binary64)
(+ 1 (+ (/ 1/9 x) y))
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)

localize134.0ms (1.2%)

Memory
11.7MiB live, 360.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))
accuracy99.3%
(/.f64 #s(literal 1/9 binary64) x)
accuracy94.1%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))
accuracy68.0%
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
accuracy99.6%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy99.3%
(/.f64 #s(literal 1/9 binary64) x)
accuracy100.0%
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
accuracy99.7%
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
accuracy99.3%
(/.f64 #s(literal 1/9 binary64) x)
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(*.f64 (sqrt.f64 x) y)
accuracy99.6%
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
accuracy100.0%
(sqrt.f64 x)
accuracy99.9%
(+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))
accuracy99.4%
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
Samples
54.0ms213×0valid
12.0ms24×1valid
12.0ms19×2valid
Compiler

Compiled 235 to 33 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 16.0ms (31.7% of total)
ival-div: 11.0ms (21.8% of total)
ival-add: 11.0ms (21.8% of total)
const: 7.0ms (13.9% of total)
adjust: 3.0ms (5.9% of total)
ival-sqrt: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
-30.5MiB live, 109.4MiB allocated
Counts
19 → 384
Calls
Call 1
Inputs
#<alt (* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x)))>
#<alt (sqrt x)>
#<alt (+ (+ (* 3 y) -3) (/ 1/3 x))>
#<alt (+ (* 3 y) -3)>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)>
#<alt (* (sqrt x) (+ y (+ (/ 1/9 x) -1)))>
#<alt (+ y (+ (/ 1/9 x) -1))>
#<alt (/ (* 3 (sqrt x)) (/ 1 (+ y (+ (/ 1/9 x) -1))))>
#<alt (* 3 (sqrt x))>
#<alt (/ 1 (+ y (+ (/ 1/9 x) -1)))>
#<alt (/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y)))>
#<alt (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))>
#<alt (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)))>
#<alt (/ 1/3 x)>
#<alt (/ 1/9 x)>
#<alt (+ (/ 1/9 x) -1)>
#<alt (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)>
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))>
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#<alt (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 4))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 4)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* 3 (* (sqrt x) (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3)))))))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) y))) (* 3 (* (sqrt x) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))))) y)) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y)))))>
#<alt (/ 1/27 (pow x 2))>
#<alt (/ (+ 1/27 (* 2/3 (* x y))) (pow x 2))>
#<alt (/ (+ 1/27 (* x (+ (* 2/3 y) (* 3 (* x (- (pow y 2) 1)))))) (pow x 2))>
#<alt (/ (+ 1/27 (* x (+ (* 2/3 y) (* 3 (* x (- (pow y 2) 1)))))) (pow x 2))>
#<alt (* 3 (- (pow y 2) 1))>
#<alt (+ (* 2/3 (/ y x)) (* 3 (- (pow y 2) 1)))>
#<alt (+ (* 2/3 (/ y x)) (+ (* 3 (- (pow y 2) 1)) (/ 1/27 (pow x 2))))>
#<alt (+ (* 2/3 (/ y x)) (+ (* 3 (- (pow y 2) 1)) (/ 1/27 (pow x 2))))>
#<alt (* 3 (- (pow y 2) 1))>
#<alt (+ (* 2/3 (/ y x)) (* 3 (- (pow y 2) 1)))>
#<alt (+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1)))>
#<alt (+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1)))>
#<alt (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1))>
#<alt (+ (* 2/3 (/ y x)) (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)))>
#<alt (+ (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* y (+ (* 3 y) (* 2/3 (/ 1 x)))))>
#<alt (+ (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* y (+ (* 3 y) (* 2/3 (/ 1 x)))))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (* 2/3 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (+ 3 (+ (* 3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))) (/ 2/3 (* x y)))))>
#<alt (* (pow y 2) (+ 3 (+ (* 3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))) (/ 2/3 (* x y)))))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (* 2/3 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (+ 3 (* -1 (/ (- (* -3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/3 (/ 1 x))) y))))>
#<alt (* (pow y 2) (+ 3 (* -1 (/ (- (* -3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/3 (/ 1 x))) y))))>
#<alt (* 1/27 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* 1/27 (sqrt x)) (* 2/3 (* (sqrt (pow x 3)) y))) (pow x 2))>
#<alt (/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2))>
#<alt (/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2))>
#<alt (* 3 (* (sqrt x) (- (pow y 2) 1)))>
#<alt (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))>
#<alt (* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))))>
#<alt (* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))>
#<alt (* -1 (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1)))>
#<alt (+ (* 2/3 (* (sqrt (/ 1 x)) y)) (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))))>
#<alt (+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))))>
#<alt (+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))))>
#<alt (* 3 (* (sqrt x) (pow y 2)))>
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2)))))))>
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2)))))))>
#<alt (* 3 (* (sqrt x) (pow y 2)))>
#<alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt 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 (/ 1/3 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 (/ 1/9 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 (/ 1/81 (pow x 2))>
#<alt (/ (+ 1/81 (* 2/9 (* x y))) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))>
#<alt (/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))>
#<alt (- (pow y 2) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (pow y 2)) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)>
#<alt (- (pow y 2) 1)>
#<alt (- (+ (* 2/9 (/ y x)) (pow y 2)) 1)>
#<alt (- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)>
#<alt (- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ y x))) 1)>
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)>
#<alt (- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))>
Calls

96 calls:

TimeVariablePointExpression
7.0ms
x
@0
(+ (/ 1/9 x) -1)
5.0ms
x
@inf
(/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y)))
4.0ms
x
@-inf
(/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y)))
2.0ms
x
@-inf
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x)))
2.0ms
y
@0
(/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y)))

rewrite506.0ms (4.5%)

Memory
-10.2MiB live, 711.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 412×/-lowering-/.f32
5 412×/-lowering-/.f64
4 456×accelerator-lowering-fma.f32
4 456×accelerator-lowering-fma.f64
3 484×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031159
1210159
21969159
08575153
Stop Event
iter limit
node limit
Counts
19 → 798
Calls
Call 1
Inputs
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1/3 x)))
(sqrt x)
(+ (+ (* 3 y) -3) (/ 1/3 x))
(+ (* 3 y) -3)
(* 3 (* (sqrt x) y))
(* (sqrt x) y)
(* (* (sqrt x) (+ y (+ (/ 1/9 x) -1))) 3)
(* (sqrt x) (+ y (+ (/ 1/9 x) -1)))
(+ y (+ (/ 1/9 x) -1))
(/ (* 3 (sqrt x)) (/ 1 (+ y (+ (/ 1/9 x) -1))))
(* 3 (sqrt x))
(/ 1 (+ y (+ (/ 1/9 x) -1)))
(/ (* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))) (+ 1 (+ (/ 1/9 x) y)))
(* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1))
(* (sqrt x) (* 3 (+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)))
(/ 1/3 x)
(/ 1/9 x)
(+ (/ 1/9 x) -1)
(+ (* (+ (/ 1/9 x) y) (+ (/ 1/9 x) y)) -1)
Outputs
(+.f64 (*.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))))
(+.f64 (*.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 3 binary64) y #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #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 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) 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) (*.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) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))
(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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 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 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(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) y) #s(literal 3 binary64) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (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 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))))
(*.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))

simplify479.0ms (4.3%)

Memory
11.6MiB live, 767.3MiB allocated
Algorithm
egg-herbie
Rules
10 130×accelerator-lowering-fma.f32
10 130×accelerator-lowering-fma.f64
8 040×*-lowering-*.f32
8 040×*-lowering-*.f64
3 234×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07005845
121465522
268335481
081045224
Stop Event
iter limit
node limit
Counts
384 → 384
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)
-3
(- (* 3 y) 3)
(- (* 3 y) 3)
(- (* 3 y) 3)
(* 3 y)
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* 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) 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))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt 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))))))
(* 1/9 (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 (/ 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 (- 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)
(* 1/3 (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))
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(* 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 (- (* 1/9 (/ 1 x)) 1))
(+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(/ 1 y)
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)
(/ 1 y)
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(* 9 x)
(* x (+ 9 (* -81 (* x (- y 1)))))
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))
(/ 1 (- y 1))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))
(/ 1 (- y 1))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- (* 2 y) (+ 1 y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* 3 (* (sqrt (pow x 3)) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* x (+ (* -27 (* (sqrt (pow x 3)) (* (+ 1 y) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))) (* 3 (* (sqrt x) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))))) x)
(* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y))))
(* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2))))))))
(* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))))))))
(* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (/ (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y))))))))))
(* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2))))))) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))) (+ 1 y)))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))))))
(* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))))
(+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))))) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))))
(+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3))))))) (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))))))
(+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 4))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 4)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* 3 (* (sqrt x) (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3)))))))))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))
(* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))
(* y (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) y))) (* 3 (* (sqrt x) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))))) y)) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y)))))
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 2/3 (* x y))) (pow x 2))
(/ (+ 1/27 (* x (+ (* 2/3 y) (* 3 (* x (- (pow y 2) 1)))))) (pow x 2))
(/ (+ 1/27 (* x (+ (* 2/3 y) (* 3 (* x (- (pow y 2) 1)))))) (pow x 2))
(* 3 (- (pow y 2) 1))
(+ (* 2/3 (/ y x)) (* 3 (- (pow y 2) 1)))
(+ (* 2/3 (/ y x)) (+ (* 3 (- (pow y 2) 1)) (/ 1/27 (pow x 2))))
(+ (* 2/3 (/ y x)) (+ (* 3 (- (pow y 2) 1)) (/ 1/27 (pow x 2))))
(* 3 (- (pow y 2) 1))
(+ (* 2/3 (/ y x)) (* 3 (- (pow y 2) 1)))
(+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1)))
(+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1)))
(* 3 (- (* 1/81 (/ 1 (pow x 2))) 1))
(+ (* 2/3 (/ y x)) (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)))
(+ (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* y (+ (* 3 y) (* 2/3 (/ 1 x)))))
(+ (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* y (+ (* 3 y) (* 2/3 (/ 1 x)))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (* 2/3 (/ 1 (* x y)))))
(* (pow y 2) (+ 3 (+ (* 3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))) (/ 2/3 (* x y)))))
(* (pow y 2) (+ 3 (+ (* 3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))) (/ 2/3 (* x y)))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (* 2/3 (/ 1 (* x y)))))
(* (pow y 2) (+ 3 (* -1 (/ (- (* -3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/3 (/ 1 x))) y))))
(* (pow y 2) (+ 3 (* -1 (/ (- (* -3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/3 (/ 1 x))) y))))
(* 1/27 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/27 (sqrt x)) (* 2/3 (* (sqrt (pow x 3)) y))) (pow x 2))
(/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2))
(/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2))
(* 3 (* (sqrt x) (- (pow y 2) 1)))
(* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))
(* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))))
(* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))
(* -1 (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))))))
(* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1)))
(+ (* 2/3 (* (sqrt (/ 1 x)) y)) (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))))
(+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))))
(+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))))
(* 3 (* (sqrt x) (pow y 2)))
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2)))))))
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2)))))))
(* 3 (* (sqrt x) (pow y 2)))
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt 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)
(/ 1/3 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)
(/ 1/9 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)
(/ 1/81 (pow x 2))
(/ (+ 1/81 (* 2/9 (* x y))) (pow x 2))
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))
(- (pow y 2) 1)
(- (+ (* 2/9 (/ y x)) (pow y 2)) 1)
(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)
(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)
(- (pow y 2) 1)
(- (+ (* 2/9 (/ y x)) (pow y 2)) 1)
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(- (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ y x))) 1)
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)
(pow y 2)
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))
(* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))
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 (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)))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (neg.f64 (neg.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))))))
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64) #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))))))
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64) #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))))))
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64) #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)))
(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))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(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))))
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)))
(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))))
(* 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 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
(* 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 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (neg.f64 y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (neg.f64 y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (neg.f64 y))
(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)))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 x)))
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(/.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)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* -1 x)) x)
(/.f64 (-.f64 #s(literal 1/9 binary64) x) x)
(/ (+ 1/9 (* -1 x)) x)
(/.f64 (-.f64 #s(literal 1/9 binary64) x) x)
(/ (+ 1/9 (* -1 x)) x)
(/.f64 (-.f64 #s(literal 1/9 binary64) x) 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))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ (+ 1/81 (* 2/9 (* x y))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 y #s(literal 2/9 binary64)) #s(literal 1/81 binary64)) (*.f64 x x))
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y y #s(literal -1 binary64)) (*.f64 y #s(literal 2/9 binary64))) #s(literal 1/81 binary64)) (*.f64 x x))
(/ (+ 1/81 (* x (+ (* 2/9 y) (* x (- (pow y 2) 1))))) (pow x 2))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y y #s(literal -1 binary64)) (*.f64 y #s(literal 2/9 binary64))) #s(literal 1/81 binary64)) (*.f64 x x))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (+ (* 2/9 (/ y x)) (pow y 2)) 1)
(fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) #s(literal -1 binary64))
(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(- (+ (* 2/9 (/ y x)) (+ (/ 1/81 (pow x 2)) (pow y 2))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (+ (* 2/9 (/ y x)) (pow y 2)) 1)
(fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) #s(literal -1 binary64))
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)
(-.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -2/9 binary64) (/.f64 #s(literal -1/81 binary64) x)) x))
(- (+ (* -1 (/ (- (* -2/9 y) (* 1/81 (/ 1 x))) x)) (pow y 2)) 1)
(-.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal -2/9 binary64) (/.f64 #s(literal -1/81 binary64) x)) x))
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(- (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ y x))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal 2/9 binary64) x) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(- (+ (* 1/81 (/ 1 (pow x 2))) (* y (+ y (* 2/9 (/ 1 x))))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y (/.f64 #s(literal 2/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x y))))
(* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 x y)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 y y)))))
(* (pow y 2) (- (+ 1 (+ (/ 2/9 (* x y)) (* 1/81 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (pow y 2))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 x y)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 y y)))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2/9 (/ 1 (* x y)))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/9 binary64) (*.f64 x y))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) y)) y)))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/9 (/ 1 x))) y))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) y)) y)))

eval282.0ms (2.5%)

Memory
32.4MiB live, 333.7MiB allocated
Compiler

Compiled 39 875 to 3 535 computations (91.1% saved)

prune526.0ms (4.7%)

Memory
-16.9MiB live, 313.2MiB allocated
Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New1 498291 527
Fresh16622
Picked415
Done101
Total1 519361 555
Accuracy
100.0%
Counts
1 555 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))
99.4%
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
99.4%
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
71.5%
(/.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)
61.3%
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
43.5%
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) y))
61.9%
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
38.3%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
39.3%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64)))
99.1%
(*.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))))
71.6%
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64)))) x) #s(literal 3 binary64))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) #s(literal 3 binary64))
84.5%
(*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (neg.f64 y))
39.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64))
96.2%
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 1/9 binary64)) x)) #s(literal 3 binary64))
39.2%
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
75.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
99.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))
63.6%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
88.5%
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))) #s(literal 3 binary64))
38.3%
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
39.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
38.3%
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
60.2%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
96.2%
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x))
72.1%
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)))) (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)))))
39.3%
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))
99.4%
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
63.7%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
75.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
99.4%
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
81.1%
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
68.0%
(*.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)))))
38.3%
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
39.3%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 1 060 to 764 computations (27.9% saved)

simplify47.0ms (0.4%)

Memory
-5.3MiB live, 34.0MiB allocated
Algorithm
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
(+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
cost-diff320
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
cost-diff0
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 (sqrt.f64 x) x)
cost-diff832
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
Rules
564×accelerator-lowering-fma.f32
564×accelerator-lowering-fma.f64
418×*-lowering-*.f32
418×*-lowering-*.f64
210×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030180
173170
2148170
3184170
4260170
5294170
6312170
7320170
8331170
9333170
10334170
11356170
12453170
13561170
0561159
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (/ (sqrt x) x) 1/3) (* (sqrt x) (+ (* 3 y) -3)))
(/ (sqrt x) x)
(sqrt x)
x
1/3
(* (sqrt x) (+ (* 3 y) -3))
(+ (* 3 y) -3)
3
y
-3
(* (* 3 y) (sqrt x))
(* 3 y)
3
y
(sqrt x)
x
(* (* (sqrt (/ 1 x)) 1/9) 3)
(* (sqrt (/ 1 x)) 1/9)
(sqrt (/ 1 x))
(/ 1 x)
1
x
1/9
3
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1 (* x 3))))
(sqrt x)
x
(+ (+ (* 3 y) -3) (/ 1 (* x 3)))
(+ (* 3 y) -3)
3
y
-3
(/ 1 (* x 3))
1
(* x 3)
(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)
(+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x)))
(sqrt (* x (* x x)))
(* x (* x x))
x
(* x x)
(+ (* 3 y) -3)
3
y
-3
(* 1/3 (sqrt x))
1/3
(sqrt x)
Outputs
(+ (* (/ (sqrt x) x) 1/3) (* (sqrt x) (+ (* 3 y) -3)))
(*.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) x)
(/.f64 (sqrt.f64 x) x)
(sqrt x)
(sqrt.f64 x)
x
1/3
#s(literal 1/3 binary64)
(* (sqrt x) (+ (* 3 y) -3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(+ (* 3 y) -3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
3
#s(literal 3 binary64)
y
-3
#s(literal -3 binary64)
(* (* 3 y) (sqrt x))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
3
#s(literal 3 binary64)
y
(sqrt x)
(sqrt.f64 x)
x
(* (* (sqrt (/ 1 x)) 1/9) 3)
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) 1/9)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
1/9
#s(literal 1/9 binary64)
3
#s(literal 3 binary64)
(* (sqrt x) (+ (+ (* 3 y) -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))))
(sqrt x)
(sqrt.f64 x)
x
(+ (+ (* 3 y) -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
#s(literal 3 binary64)
y
-3
#s(literal -3 binary64)
(/ 1 (* x 3))
(/.f64 #s(literal 1/3 binary64) x)
1
#s(literal 1 binary64)
(* x 3)
(*.f64 x #s(literal 3 binary64))
(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (*.f64 x (*.f64 x x))))) x)
(+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (*.f64 x (*.f64 x x)))))
(sqrt (* x (* x x)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (* 3 y) -3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
3
#s(literal 3 binary64)
y
-3
#s(literal -3 binary64)
(* 1/3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(sqrt x)
(sqrt.f64 x)

localize223.0ms (2%)

Memory
-3.9MiB live, 188.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
accuracy98.2%
(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)))
accuracy83.9%
(/.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)
accuracy77.7%
(sqrt.f64 (*.f64 x (*.f64 x x)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.9%
(+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy99.4%
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64))
accuracy99.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
accuracy100.0%
(sqrt.f64 x)
accuracy99.5%
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
accuracy99.6%
(/.f64 (sqrt.f64 x) x)
accuracy99.4%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
Samples
122.0ms223×0valid
7.0ms18×1valid
7.0ms14×2valid
1.0ms3valid
Compiler

Compiled 179 to 32 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 56.0ms (66.3% of total)
ival-div: 8.0ms (9.5% of total)
const: 7.0ms (8.3% of total)
ival-sqrt: 7.0ms (8.3% of total)
ival-add: 5.0ms (5.9% of total)
adjust: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
18 → 300
Calls
Call 1
Inputs
#<alt (+ (* (/ (sqrt x) x) 1/3) (* (sqrt x) (+ (* 3 y) -3)))>
#<alt (/ (sqrt x) x)>
#<alt (sqrt x)>
#<alt (* (sqrt x) (+ (* 3 y) -3))>
#<alt (* (* 3 y) (sqrt x))>
#<alt (* 3 y)>
#<alt (* (* (sqrt (/ 1 x)) 1/9) 3)>
#<alt (* (sqrt (/ 1 x)) 1/9)>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ 1 (* x 3))>
#<alt (* (sqrt x) (+ (+ (* 3 y) -3) (/ 1 (* x 3))))>
#<alt (+ (+ (* 3 y) -3) (/ 1 (* x 3)))>
#<alt (/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)>
#<alt (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x)))>
#<alt (sqrt (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* 1/3 (sqrt 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 (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 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 (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 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 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 (* (sqrt x) (- (* 3 y) 3))>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* (sqrt x) (- (* 3 y) 3))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))>
#<alt (* -3 (sqrt x))>
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))>
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))>
#<alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 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))>
#<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 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<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 (* 1/9 (sqrt (/ 1 x)))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 1/9 (* (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 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 (* 1/3 (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 (- (* 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 (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

75 calls:

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

rewrite402.0ms (3.6%)

Memory
6.3MiB live, 680.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 316×*-lowering-*.f32
5 316×*-lowering-*.f64
4 478×accelerator-lowering-fma.f32
4 478×accelerator-lowering-fma.f64
4 442×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030131
1157112
21385112
08760104
Stop Event
iter limit
node limit
Counts
18 → 938
Calls
Call 1
Inputs
(+ (* (/ (sqrt x) x) 1/3) (* (sqrt x) (+ (* 3 y) -3)))
(/ (sqrt x) x)
(sqrt x)
(* (sqrt x) (+ (* 3 y) -3))
(* (* 3 y) (sqrt x))
(* 3 y)
(* (* (sqrt (/ 1 x)) 1/9) 3)
(* (sqrt (/ 1 x)) 1/9)
(sqrt (/ 1 x))
(/ 1 x)
(/ 1 (* x 3))
(* (sqrt x) (+ (+ (* 3 y) -3) (/ 1 (* x 3))))
(+ (+ (* 3 y) -3) (/ 1 (* x 3)))
(/ (+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x))) x)
(+ (* (sqrt (* x (* x x))) (+ (* 3 y) -3)) (* 1/3 (sqrt x)))
(sqrt (* x (* x x)))
(* x (* x x))
(* 1/3 (sqrt x))
Outputs
(+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.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 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+.f64 (*.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))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (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 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) (-.f64 (*.f64 (sqrt.f64 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) (*.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) (*.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) (*.f64 #s(literal 3 binary64) y) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 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) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 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 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(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) y) #s(literal 3 binary64) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (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 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) x)) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.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 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (/.f64 #s(literal 1/27 binary64) (*.f64 x (sqrt.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.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 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (/.f64 #s(literal 1/27 binary64) (*.f64 x (sqrt.f64 x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))))
(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (/.f64 #s(literal 1/27 binary64) (*.f64 x (sqrt.f64 x)))) (fma.f64 (*.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 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (/.f64 #s(literal 1/27 binary64) (*.f64 x (sqrt.f64 x)))) (fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (/.f64 #s(literal 1/27 binary64) (*.f64 x (sqrt.f64 x))))) (neg.f64 (fma.f64 (*.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 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (/.f64 #s(literal 1/27 binary64) (*.f64 x (sqrt.f64 x))))) (neg.f64 (fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) (-.f64 (*.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 (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
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(*.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
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(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))

simplify585.0ms (5.2%)

Memory
-2.2MiB live, 641.4MiB allocated
Algorithm
egg-herbie
Rules
11 878×accelerator-lowering-fma.f32
11 878×accelerator-lowering-fma.f64
4 568×*-lowering-*.f32
4 568×*-lowering-*.f64
2 604×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01382685
14032496
213552464
329272456
479782456
085402266
Stop Event
iter limit
node limit
Counts
300 → 300
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))))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
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(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
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(* 3 (* (sqrt x) y))
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(* 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)))))
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(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
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(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
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(- (* 3 y) 3)
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(- (* 3 y) 3)
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(* 1/3 (sqrt (/ 1 x)))
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(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x)
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(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x)
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(* -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)) (* (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)))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #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)) (+ (* 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))))
(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))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 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)
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* (sqrt x) (- (* 3 y) 3))
(*.f64 (sqrt.f64 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 (* (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 (* (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 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y)))
(*.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))) (* 3 (sqrt x))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt 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)) (* 3 (* (sqrt x) (/ 1 y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y))))))
(*.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))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 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))
(* 1/9 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(* 1/9 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(* 1/9 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(* 1/9 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(* 1/9 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(* 1/9 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(* 1/9 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(* 1/9 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))
(* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(* 1/9 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
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(* (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 (*.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 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 (*.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 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 (*.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 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 #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))))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(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))))
(+ (* -3 (sqrt (pow x 3))) (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))))
(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))))
(* 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 #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))))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(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))))
(* y (+ (* -3 (* (sqrt (pow x 3)) (/ 1 y))) (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt (pow x 3))))))
(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))))
(* 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 #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))))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(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))))
(* -1 (* y (+ (* -3 (sqrt (pow x 3))) (* -1 (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) y)))))
(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))))
(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))

eval338.0ms (3%)

Memory
-21.7MiB live, 378.8MiB allocated
Compiler

Compiled 35 562 to 2 483 computations (93% saved)

prune231.0ms (2.1%)

Memory
8.2MiB live, 323.9MiB allocated
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New1 363151 378
Fresh201030
Picked325
Done011
Total1 386281 414
Accuracy
100.0%
Counts
1 414 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
80.4%
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))))
63.7%
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
32.6%
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) x)
24.9%
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x)
61.9%
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
39.3%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64)))
39.3%
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
39.4%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
39.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
39.3%
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64))
99.4%
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
39.3%
(*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
99.4%
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
39.2%
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
75.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
63.6%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
38.3%
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
38.3%
(*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x)))
38.2%
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x (/.f64 (sqrt.f64 x) x)))
38.3%
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
2.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
60.2%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
96.2%
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x))
99.4%
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
63.7%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
75.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
38.3%
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
Compiler

Compiled 631 to 459 computations (27.3% saved)

simplify9.0ms (0.1%)

Memory
24.7MiB live, 24.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(sqrt.f64 (*.f64 x (*.f64 x x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
cost-diff0
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x)
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff128
(+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
cost-diff0
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
Rules
122×*-lowering-*.f32
122×*-lowering-*.f64
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
44×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023120
148120
286120
3124120
4140120
0140115
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x)))
(+ (* 3 y) -3)
3
y
-3
(sqrt x)
x
(/ 1/3 (sqrt x))
1/3
(* (* (sqrt x) 3) y)
(* (sqrt x) 3)
(sqrt x)
x
3
y
(/ 1 (* (sqrt x) 3))
1
(* (sqrt x) 3)
(sqrt x)
x
3
(* (sqrt x) (+ (* 3 y) (/ 1/3 x)))
(sqrt x)
x
(+ (* 3 y) (/ 1/3 x))
(* 3 y)
3
y
(/ 1/3 x)
1/3
(/ (* (sqrt (* x (* x x))) (* 3 y)) x)
(* (sqrt (* x (* x x))) (* 3 y))
(sqrt (* x (* x x)))
(* x (* x x))
x
(* x x)
(* 3 y)
3
y
Outputs
(+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x)))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+ (* 3 y) -3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
3
#s(literal 3 binary64)
y
-3
#s(literal -3 binary64)
(sqrt x)
(sqrt.f64 x)
x
(/ 1/3 (sqrt x))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
1/3
#s(literal 1/3 binary64)
(* (* (sqrt x) 3) y)
(*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))
(* (sqrt x) 3)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
x
3
#s(literal 3 binary64)
y
(/ 1 (* (sqrt x) 3))
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
1
#s(literal 1 binary64)
(* (sqrt x) 3)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
x
3
#s(literal 3 binary64)
(* (sqrt x) (+ (* 3 y) (/ 1/3 x)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(sqrt x)
(sqrt.f64 x)
x
(+ (* 3 y) (/ 1/3 x))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
3
#s(literal 3 binary64)
y
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(/ (* (sqrt (* x (* x x))) (* 3 y)) x)
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (*.f64 x (*.f64 x x)))) x)
(* (sqrt (* x (* x x))) (* 3 y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (*.f64 x (*.f64 x x))))
(sqrt (* x (* x x)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
3
#s(literal 3 binary64)
y

localize102.0ms (0.9%)

Memory
-17.1MiB live, 189.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (*.f64 x x))
accuracy87.0%
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
accuracy79.6%
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x)
accuracy77.7%
(sqrt.f64 (*.f64 x (*.f64 x x)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.9%
(+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x))
accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
accuracy99.3%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy100.0%
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
Samples
44.0ms220×0valid
7.0ms15×2valid
6.0ms17×1valid
2.0ms3valid
Compiler

Compiled 129 to 25 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 15.0ms (39% of total)
ival-div: 8.0ms (20.8% of total)
ival-add: 6.0ms (15.6% of total)
const: 4.0ms (10.4% of total)
ival-sqrt: 4.0ms (10.4% of total)
adjust: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-14.7MiB live, 25.8MiB allocated
Counts
15 → 252
Calls
Call 1
Inputs
#<alt (+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x)))>
#<alt (+ (* 3 y) -3)>
#<alt (sqrt x)>
#<alt (/ 1/3 (sqrt x))>
#<alt (* (* (sqrt x) 3) y)>
#<alt (* (sqrt x) 3)>
#<alt (/ 1 (* (sqrt x) 3))>
#<alt (+ (* 3 y) (/ 1/3 x))>
#<alt (* (sqrt x) (+ (* 3 y) (/ 1/3 x)))>
#<alt (* 3 y)>
#<alt (/ (* (sqrt (* x (* x x))) (* 3 y)) x)>
#<alt (* (sqrt (* x (* x x))) (* 3 y))>
#<alt (sqrt (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ 1/3 x)>
Outputs
#<alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 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 (/ 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)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt (* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))>
#<alt -3>
#<alt (- (* 3 y) 3)>
#<alt (- (* 3 y) 3)>
#<alt (- (* 3 y) 3)>
#<alt (* 3 y)>
#<alt (* y (- 3 (* 3 (/ 1 y))))>
#<alt (* y (- 3 (* 3 (/ 1 y))))>
#<alt (* y (- 3 (* 3 (/ 1 y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))>
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))>
#<alt (* -1 (* y (- (* 3 (/ 1 y)) 3)))>
#<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 (* 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 (* 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) 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))>
#<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 (/ 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 (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* 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 (/ 1 x)) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 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) 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 (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))>
#<alt (* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))>
#<alt (* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))>
#<alt (* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) y))>
#<alt (* 3 (* (sqrt (pow x 3)) 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 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)>
Calls

63 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x)))
5.0ms
x
@0
(* (sqrt x) (+ (* 3 y) (/ 1/3 x)))
1.0ms
y
@0
(* (sqrt (* x (* x x))) (* 3 y))
0.0ms
y
@inf
(* (sqrt (* x (* x x))) (* 3 y))
0.0ms
x
@-inf
(/ 1/3 (sqrt x))

rewrite382.0ms (3.4%)

Memory
10.6MiB live, 722.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 600×accelerator-lowering-fma.f32
10 600×accelerator-lowering-fma.f64
5 578×*-lowering-*.f32
5 578×*-lowering-*.f64
3 562×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02382
111780
283680
0852575
Stop Event
iter limit
node limit
Counts
15 → 927
Calls
Call 1
Inputs
(+ (* (+ (* 3 y) -3) (sqrt x)) (/ 1/3 (sqrt x)))
(+ (* 3 y) -3)
(sqrt x)
(/ 1/3 (sqrt x))
(* (* (sqrt x) 3) y)
(* (sqrt x) 3)
(/ 1 (* (sqrt x) 3))
(+ (* 3 y) (/ 1/3 x))
(* (sqrt x) (+ (* 3 y) (/ 1/3 x)))
(* 3 y)
(/ (* (sqrt (* x (* x x))) (* 3 y)) x)
(* (sqrt (* x (* x x))) (* 3 y))
(sqrt (* x (* x x)))
(* x (* x x))
(/ 1/3 x)
Outputs
(+.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(+.f64 (*.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 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (neg.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x)) (-.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))))
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 3 binary64) (+.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 3 binary64) (+.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 3 binary64) (fma.f64 y (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 x) y (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 y (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 y x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y x) (*.f64 x (sqrt.f64 x))) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 y (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 y (*.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 x (sqrt.f64 x))) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (sqrt.f64 x))) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(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 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 x (*.f64 (sqrt.f64 x) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 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) (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) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) x) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))
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(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
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(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 y x))
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(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (sqrt.f64 x) y))) #s(literal 3 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x)) x)
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(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x (sqrt.f64 x)))
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(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))))
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 x (sqrt.f64 x)) (neg.f64 (*.f64 y #s(literal -3 binary64))))
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 #s(literal -3 binary64) (*.f64 x (sqrt.f64 x)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 y x))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) x)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x))) y)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 x))) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) (*.f64 y #s(literal -3 binary64)))
(*.f64 (*.f64 y #s(literal -3 binary64)) (neg.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (sqrt.f64 x))) (neg.f64 y))
(*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))
(*.f64 (*.f64 y (*.f64 x (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 (neg.f64 (*.f64 y #s(literal -3 binary64))) (*.f64 x (sqrt.f64 x)))
(*.f64 (neg.f64 (neg.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 #s(literal 3 binary64) y))
(*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (sqrt.f64 x)))) y)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fabs.f64 (*.f64 x (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(pow.f64 x #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))
(*.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.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)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (*.f64 x (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x (sqrt.f64 x))))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 x)) x) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
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(/.f64 (/.f64 (sqrt.f64 x) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal -3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
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(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))

simplify526.0ms (4.7%)

Memory
20.7MiB live, 739.7MiB allocated
Algorithm
egg-herbie
Rules
15 600×accelerator-lowering-fma.f32
15 600×accelerator-lowering-fma.f64
5 164×*-lowering-*.f32
5 164×*-lowering-*.f64
1 744×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051810
12981731
29831727
328821727
468211727
085291643
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 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 (/ 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)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
(* -1 (* x (+ (* -1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))))))
-3
(- (* 3 y) 3)
(- (* 3 y) 3)
(- (* 3 y) 3)
(* 3 y)
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* y (- 3 (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(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)))
(* 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)))
(* 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) 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))
(* 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)))
(/ 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)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(* 3 (* (sqrt x) y))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* 1/3 (sqrt (/ 1 x)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(* 3 (* (sqrt x) y))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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) 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 (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) y))
(* 3 (* (sqrt (pow x 3)) 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 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)
Outputs
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) 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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) 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 (/ 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 (sqrt.f64 x) #s(literal 1/3 binary64) (*.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 (sqrt.f64 x) #s(literal 1/3 binary64) (*.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 (sqrt.f64 x) #s(literal 1/3 binary64) (*.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)))) (* (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)))) (* (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)))) (* (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)))))
-3
#s(literal -3 binary64)
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (- 3 (* 3 (/ 1 y))))
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(* y (- 3 (* 3 (/ 1 y))))
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(* y (- 3 (* 3 (/ 1 y))))
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(* -1 (* y (- (* 3 (/ 1 y)) 3)))
(fma.f64 #s(literal 3 binary64) y #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 (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)))
(*.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)))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 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)))
(*.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 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))
(* 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))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))) x)
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(*.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)) (*.f64 #s(literal 3 binary64) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(*.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)) (*.f64 #s(literal 3 binary64) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(*.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)) (*.f64 #s(literal 3 binary64) y))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (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)) (*.f64 #s(literal 3 binary64) y))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (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)) (*.f64 #s(literal 3 binary64) y))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (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)) (*.f64 #s(literal 3 binary64) y))))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(+ (* 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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(+ (* 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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(* 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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(* 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 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -3 binary64) y))
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -3 binary64) y))
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -3 binary64) y))
(* 3 (* (sqrt (pow x 3)) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal -3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(* 3 (* (sqrt (pow x 3)) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))
(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)

eval179.0ms (1.6%)

Memory
-19.9MiB live, 334.0MiB allocated
Compiler

Compiled 21 348 to 2 029 computations (90.5% saved)

prune191.0ms (1.7%)

Memory
17.4MiB live, 292.7MiB allocated
Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New1 37591 384
Fresh21820
Picked235
Done033
Total1 379331 412
Accuracy
100.0%
Counts
1 412 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.4%
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))))
63.7%
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
75.6%
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
63.8%
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
31.7%
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x)) x)
32.6%
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) x)
61.9%
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
38.3%
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
39.3%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64)))
39.3%
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
39.4%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
39.4%
(/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))
75.5%
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
39.3%
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64))
38.3%
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
99.4%
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
39.3%
(*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
39.2%
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
75.4%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
63.6%
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
38.3%
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
31.7%
(*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 3 binary64) x))
38.3%
(*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x)))
38.3%
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
2.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
60.2%
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
96.2%
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x))
99.4%
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
63.7%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
75.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
75.5%
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
38.3%
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
2.2%
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
Compiler

Compiled 1 419 to 531 computations (62.6% saved)

regimes78.0ms (0.7%)

Memory
11.1MiB live, 122.4MiB allocated
Counts
81 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.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 #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 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
(*.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 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 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 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x (/.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 3 binary64) x))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x)) x)
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #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) x))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 1/9 binary64)) x)) #s(literal 3 binary64))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x)
(*.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 x) (+.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) x)
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 y (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) y))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 (*.f64 (sqrt.f64 x) #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 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y)))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #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))))
(/.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) #s(literal 3 binary64))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/9 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64)))) x) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)))) (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (/.f64 (sqrt.f64 x) y))) (neg.f64 y))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y #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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.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 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (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 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (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 (sqrt.f64 x) #s(literal -3 binary64)))
(*.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 (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))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Outputs
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
Calls

3 calls:

25.0ms
x
25.0ms
(*.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)))
24.0ms
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)

regimes52.0ms (0.5%)

Memory
-13.0MiB live, 108.2MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.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 #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 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
(*.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 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 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 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x (/.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 3 binary64) x))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x)) x)
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #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) x))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 1/9 binary64)) x)) #s(literal 3 binary64))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) x)
(*.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 x) (+.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) x)
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
Outputs
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 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)))
15.0ms
y
15.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%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)

regimes42.0ms (0.4%)

Memory
-0.8MiB live, 96.6MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.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 #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 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
(*.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 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 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 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x (/.f64 (sqrt.f64 x) x)))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 3 binary64) x))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (sqrt.f64 x)) x)
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
Outputs
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
Calls

3 calls:

17.0ms
x
12.0ms
y
11.0ms
(*.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
99.4%1x
99.4%1y
99.4%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)

regimes27.0ms (0.2%)

Memory
6.3MiB live, 45.6MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.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 #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 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
(*.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 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
Outputs
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
Calls

3 calls:

9.0ms
(*.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)))
8.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
99.4%3y
97.9%2x
97.7%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)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes41.0ms (0.4%)

Memory
-11.2MiB live, 27.5MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.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 #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 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
(*.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 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64)) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal 9 binary64)))
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 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x)))
Calls

3 calls:

25.0ms
x
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)))
7.0ms
y
Results
AccuracySegmentsBranch
91.4%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)))
89.1%3y
86.3%2x
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.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 #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 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
(*.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)))
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 #s(literal 3 binary64) y) (sqrt.f64 x))
Calls

1 calls:

6.0ms
(*.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)

regimes6.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.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 #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 1/9 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y)
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64))
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 #s(literal 3 binary64) y) (sqrt.f64 x))
Calls

1 calls:

6.0ms
(*.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
90.1%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)

regimes12.0ms (0.1%)

Memory
-25.9MiB live, 13.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
Outputs
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
Calls

3 calls:

6.0ms
(*.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
3.0ms
x
Results
AccuracySegmentsBranch
60.2%1x
60.2%1y
60.2%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)

regimes8.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
Calls

3 calls:

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)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
38.3%1x
38.3%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)))
38.3%1y
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes4.0ms (0%)

Memory
10.4MiB live, 10.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 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
x
1.0ms
y
Results
AccuracySegmentsBranch
2.2%1x
2.2%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)))
2.2%1y
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch13.0ms (0.1%)

Memory
-27.7MiB live, 12.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.010629906978348936
0.11753418502743809
Samples
8.0ms96×0valid
Compiler

Compiled 151 to 119 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (48.3% of total)
ival-div: 1.0ms (24.2% of total)
ival-sqrt: 1.0ms (24.2% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.927935877400024e+152
3.2311666922173584e+156
0.0ms
-9.56356338889936e+20
-2.7713862050222336e+20
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.927935877400024e+152
3.2311666922173584e+156
0.0ms
-9.56356338889936e+20
-2.7713862050222336e+20
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.927935877400024e+152
3.2311666922173584e+156
0.0ms
-0.056205921751951764
2.9237575315513435
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify11.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Algorithm
egg-herbie
Rules
32×*-commutative_binary64
12×+-commutative_binary64
unsub-neg_binary64
sub-neg_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051237
175237
279237
382237
485237
588237
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 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 -500000000000000000000 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 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x)))))
(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 -500000000000000000000 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 #s(literal 3 binary64) y) (sqrt.f64 x))))
(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 -3602879701896397/72057594037927936 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 #s(literal 3 binary64) y) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
Outputs
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 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))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 8070450532247929/72057594037927936 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))
(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 -500000000000000000000 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 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x)))))
(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 -500000000000000000000 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (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 #s(literal 3 binary64) y) (/.f64 x (sqrt.f64 x)))))
(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 -500000000000000000000 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 #s(literal 3 binary64) y) (sqrt.f64 x))))
(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 -500000000000000000000 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (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 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) 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 -3602879701896397/72057594037927936 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 #s(literal 3 binary64) y) (sqrt.f64 x))))
(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 -3602879701896397/72057594037927936 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (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 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 #s(literal -3 binary64) (*.f64 y (sqrt.f64 x)))

soundness1.7s (15.6%)

Memory
26.9MiB live, 1 238.8MiB allocated
Rules
15 600×accelerator-lowering-fma.f32
15 600×accelerator-lowering-fma.f64
11 878×accelerator-lowering-fma.f32
11 878×accelerator-lowering-fma.f64
11 070×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051810
12981731
29831727
328821727
468211727
085291643
031159
1210159
21969159
08575153
01234
15928
251428
3646228
0828127
07005845
121465522
268335481
081045224
079612
1209585
2666585
32175583
47013583
09271551
01382685
14032496
213552464
329272456
479782456
085402266
02382
111780
283680
0852575
030131
1157112
21385112
08760104
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 528 to 270 computations (48.9% saved)

preprocess65.0ms (0.6%)

Memory
-4.9MiB live, 151.5MiB allocated
Compiler

Compiled 548 to 154 computations (71.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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