Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

Time bar (total: 13.2s)

analyze10.0ms (0.1%)

Memory
-18.3MiB live, 19.0MiB 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 10 to 9 computations (10% saved)

sample665.0ms (5%)

Memory
33.6MiB live, 968.4MiB allocated
Samples
430.0ms8 253×0valid
28.0ms261×0invalid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 234.0ms
ival-sqrt: 66.0ms (28.3% of total)
ival-mult: 57.0ms (24.4% of total)
ival-sub: 55.0ms (23.6% of total)
ival-add: 41.0ms (17.6% of total)
ival-true: 6.0ms (2.6% of total)
exact: 5.0ms (2.1% of total)
ival-assert: 3.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess55.0ms (0.4%)

Memory
6.9MiB live, 53.2MiB allocated
Algorithm
egg-herbie
Rules
336×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
252×sub-neg
206×cancel-sign-sub-inv
192×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02156
15951
217350
347550
497250
5135550
6149350
7151550
078
1158
2348
3618
41258
52438
63728
74208
84438
04437
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (- 1 x) (* y (sqrt x)))
Outputs
(+ (- 1 x) (* y (sqrt x)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x))
Call 2
Inputs
(+ (- 1 x) (* y (sqrt x)))
(+ (- 1 (neg x)) (* y (sqrt (neg x))))
(+ (- 1 x) (* (neg y) (sqrt x)))
(neg (+ (- 1 (neg x)) (* y (sqrt (neg x)))))
(neg (+ (- 1 x) (* (neg y) (sqrt x))))
(+ (- 1 y) (* x (sqrt y)))
Outputs
(+ (- 1 x) (* y (sqrt x)))
(+ (- 1 (neg x)) (* y (sqrt (neg x))))
(+ 1 (+ x (* y (sqrt (neg x)))))
(+ (- 1 x) (* (neg y) (sqrt x)))
(- (- 1 x) (* y (sqrt x)))
(neg (+ (- 1 (neg x)) (* y (sqrt (neg x)))))
(- -1 (+ x (* y (sqrt (neg x)))))
(neg (+ (- 1 x) (* (neg y) (sqrt x))))
(+ (* y (sqrt x)) (+ x -1))
(+ (- 1 y) (* x (sqrt y)))

explain100.0ms (0.8%)

Memory
-32.4MiB live, 139.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
00-0-(sqrt.f64 x)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(*.f64 y (sqrt.f64 x))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
28.0ms512×0valid
Compiler

Compiled 64 to 32 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sqrt: 4.0ms (30.5% of total)
ival-sub: 3.0ms (22.9% of total)
ival-mult: 3.0ms (22.9% of total)
ival-add: 2.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify19.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y (sqrt.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Rules
336×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
144×*-lowering-*.f32
144×*-lowering-*.f64
112×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
11520
23420
36120
412520
524320
637220
742020
844320
044319
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (- 1 x) (* y (sqrt x)))
(- 1 x)
1
x
(* y (sqrt x))
y
(sqrt x)
Outputs
(+ (- 1 x) (* y (sqrt x)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* y (sqrt x))
(*.f64 y (sqrt.f64 x))
y
(sqrt x)
(sqrt.f64 x)

localize32.0ms (0.2%)

Memory
-23.4MiB live, 51.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(*.f64 y (sqrt.f64 x))
Samples
22.0ms256×0valid
Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sqrt: 10.0ms (70.6% of total)
ival-mult: 2.0ms (14.1% of total)
ival-sub: 1.0ms (7.1% of total)
ival-add: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (+ (- 1 x) (* y (sqrt x)))>
#<alt (- 1 x)>
#<alt (* y (sqrt x))>
#<alt (sqrt x)>
Outputs
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (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)))>
Calls

18 calls:

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

rewrite457.0ms (3.5%)

Memory
1.8MiB live, 629.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 324×accelerator-lowering-fma.f32
6 324×accelerator-lowering-fma.f64
4 236×*-lowering-*.f32
4 236×*-lowering-*.f64
2 084×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
14217
235317
3535117
0901316
Stop Event
iter limit
node limit
Counts
4 → 252
Calls
Call 1
Inputs
(+ (- 1 x) (* y (sqrt x)))
(- 1 x)
(* y (sqrt x))
(sqrt x)
Outputs
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x))
(+.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 y (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))))
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) #s(literal 0 binary64)) x)
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 x #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))
(fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (+.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) (exp.f64 (log.f64 y)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) x (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 #s(literal -1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (exp.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 x))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))

simplify299.0ms (2.3%)

Memory
43.7MiB live, 467.5MiB allocated
Algorithm
egg-herbie
Rules
7 542×accelerator-lowering-fma.f32
7 542×accelerator-lowering-fma.f64
2 696×*-lowering-*.f32
2 696×*-lowering-*.f64
1 866×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052369
1141369
2438357
31298357
44657357
57379357
08084330
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* (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)
(* (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)
(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)))
Outputs
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) 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)))
(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)

eval56.0ms (0.4%)

Memory
-18.3MiB live, 112.5MiB allocated
Compiler

Compiled 7 319 to 731 computations (90% saved)

prune39.0ms (0.3%)

Memory
-5.2MiB live, 113.0MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New31410324
Fresh000
Picked011
Done000
Total31411325
Accuracy
100.0%
Counts
325 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.7%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))))
63.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
64.8%
(-.f64 #s(literal 1 binary64) x)
99.7%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
70.3%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))))
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
63.8%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
40.2%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))))
46.8%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
37.4%
(*.f64 (sqrt.f64 x) y)
63.8%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 370 to 201 computations (45.7% saved)

simplify574.0ms (4.3%)

Memory
-107.0MiB live, 767.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
cost-diff0
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y))))
cost-diff1792
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))))
cost-diff0
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
cost-diff0
(*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(pow.f64 x #s(literal 1/4 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
cost-diff6656
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
Rules
11 626×accelerator-lowering-fma.f32
11 626×accelerator-lowering-fma.f64
4 986×*-lowering-*.f32
4 986×*-lowering-*.f64
2 988×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031275
193247
2361235
31424227
46386213
08228202
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y)))
(- 1 x)
1
x
(* (pow x 1/4) (* (pow x 1/4) y))
(pow x 1/4)
1/4
(* (pow x 1/4) y)
y
(- 1 x)
1
x
(+ 1 (* (sqrt x) y))
1
(* (sqrt x) y)
(sqrt x)
x
y
(+ (- 1 x) (* y (pow (* x x) 1/4)))
(- 1 x)
1
x
(* y (pow (* x x) 1/4))
y
(pow (* x x) 1/4)
(* x x)
1/4
(/ (- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))
(- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y))))
(* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x))))
(+ 1 x)
1
x
(* (+ 1 x) (* (+ 1 x) (+ 1 x)))
(* (+ 1 x) (+ 1 x))
(* x (* (* x (* y y)) (* y y)))
(* (* x (* y y)) (* y y))
(* x (* y y))
(* y y)
y
(* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))
(- 1 (+ x (* y (sqrt x))))
(+ x (* y (sqrt x)))
(* y (sqrt x))
(sqrt x)
(+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))
Outputs
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (pow x 1/4) (* (pow x 1/4) y))
(*.f64 y (sqrt.f64 x))
(pow x 1/4)
(pow.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (pow x 1/4) y)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
y
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
1
#s(literal 1 binary64)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
x
y
(+ (- 1 x) (* y (pow (* x x) 1/4)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* y (pow (* x x) 1/4))
(*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
y
(pow (* x x) 1/4)
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* x x)
(*.f64 x x)
1/4
#s(literal 1/4 binary64)
(/ (- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))
(- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y)))))) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (+ 1 x) (* (+ 1 x) (+ 1 x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(* (+ 1 x) (+ 1 x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(* x (* (* x (* y y)) (* y y)))
(*.f64 (*.f64 x (*.f64 x y)) (*.f64 y (*.f64 y y)))
(* (* x (* y y)) (* y y))
(*.f64 (*.f64 y y) (*.f64 x (*.f64 y y)))
(* x (* y y))
(*.f64 x (*.f64 y y))
(* y y)
(*.f64 y y)
y
(* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y)))))))
(- 1 (+ x (* y (sqrt x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+ x (* y (sqrt x)))
(+.f64 x (*.f64 y (sqrt.f64 x)))
(* y (sqrt x))
(*.f64 y (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y))))))

localize150.0ms (1.1%)

Memory
-21.2MiB live, 255.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy94.0%
(*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))
accuracy85.5%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y))))
accuracy84.3%
(*.f64 x (*.f64 y y))
accuracy46.0%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))))
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
accuracy55.1%
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(*.f64 (sqrt.f64 x) y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
accuracy100.0%
(pow.f64 x #s(literal 1/4 binary64))
accuracy99.7%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
accuracy99.5%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
Samples
62.0ms256×0valid
Compiler

Compiled 291 to 33 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 19.0ms (44.2% of total)
ival-pow: 10.0ms (23.3% of total)
ival-add: 6.0ms (14% of total)
ival-sub: 4.0ms (9.3% of total)
ival-div: 2.0ms (4.7% of total)
ival-sqrt: 2.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series224.0ms (1.7%)

Memory
-9.1MiB live, 324.5MiB allocated
Counts
18 → 348
Calls
Call 1
Inputs
#<alt (* (pow x 1/4) (* (pow x 1/4) y))>
#<alt (+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y)))>
#<alt (- 1 x)>
#<alt (pow x 1/4)>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (sqrt x)>
#<alt (+ (- 1 x) (* y (pow (* x x) 1/4)))>
#<alt (* y (pow (* x x) 1/4))>
#<alt (pow (* x x) 1/4)>
#<alt (/ (- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))>
#<alt (- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y))))>
#<alt (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x))))>
#<alt (+ 1 x)>
#<alt (* (pow x 1/4) y)>
#<alt (* x x)>
#<alt (* x (* y y))>
#<alt (* x (* (* x (* y y)) (* y y)))>
Outputs
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
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#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
Calls

87 calls:

TimeVariablePointExpression
69.0ms
y
@0
(* (pow x 1/4) y)
43.0ms
x
@-inf
(pow x 1/4)
27.0ms
x
@0
(pow x 1/4)
25.0ms
x
@0
(+ (- 1 x) (* y (pow (* x x) 1/4)))
12.0ms
y
@0
(+ (- 1 x) (* y (pow (* x x) 1/4)))

rewrite438.0ms (3.3%)

Memory
38.4MiB live, 665.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 752×*-lowering-*.f32
4 752×*-lowering-*.f64
4 664×/-lowering-/.f32
4 664×/-lowering-/.f64
3 972×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031158
1217105
21916103
0819499
Stop Event
iter limit
node limit
Counts
18 → 650
Calls
Call 1
Inputs
(* (pow x 1/4) (* (pow x 1/4) y))
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y)))
(- 1 x)
(pow x 1/4)
(+ 1 (* (sqrt x) y))
(* (sqrt x) y)
(sqrt x)
(+ (- 1 x) (* y (pow (* x x) 1/4)))
(* y (pow (* x x) 1/4))
(pow (* x x) 1/4)
(/ (- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))
(- (* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x)))) (* x (* (* x (* y y)) (* y y))))
(* (+ 1 x) (* (+ 1 x) (* (+ 1 x) (+ 1 x))))
(+ 1 x)
(* (pow x 1/4) y)
(* x x)
(* x (* y y))
(* x (* (* x (* y y)) (* y y)))
Outputs
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 y (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x)
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))))
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (*.f64 y (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))) (+.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (*.f64 x (*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(pow.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(*.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 y (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))))
(*.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
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(*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) x)
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(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x y)) y)
(*.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))) y)
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) y) y)

simplify505.0ms (3.8%)

Memory
-3.9MiB live, 783.0MiB allocated
Algorithm
egg-herbie
Rules
7 050×accelerator-lowering-fma.f32
7 050×accelerator-lowering-fma.f64
4 574×*-lowering-*.f32
4 574×*-lowering-*.f64
3 452×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04544838
114674475
258484376
086394147
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* (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 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(- 1 x)
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(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
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(* -1 x)
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(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
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(+ 1 (* (sqrt x) y))
(* (sqrt x) y)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
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(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* (sqrt x) y)
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(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(* x (- (* (sqrt (/ 1 x)) y) 1))
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(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
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(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
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(* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
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(/ (pow (+ 1 x) 2) (- 1 x))
(+ (* (sqrt x) (/ (* y (pow (+ 1 x) 2)) (pow (- 1 x) 2))) (/ (pow (+ 1 x) 2) (- 1 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))) (/ x (- 1 x))))) (* -1 (* (sqrt x) (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)))))) (/ (pow (+ 1 x) 2) (- 1 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (+ (* (sqrt x) (/ (+ (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))) (/ x (- 1 x))) (- 1 x))) (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2))))))) (+ (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))) (/ x (- 1 x))))) (* -1 (* (sqrt x) (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)))))) (/ (pow (+ 1 x) 2) (- 1 x)))
(* (sqrt x) y)
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(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) y))) (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- 1 x))) y)))))
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1
(+ 1 (* 4 x))
(+ 1 (* x (+ 4 (* x (- 6 (pow y 4))))))
(+ 1 (* x (+ 4 (* x (- (+ 6 (* 4 x)) (pow y 4))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 4 (/ 1 x))))
(* (pow x 4) (- (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2)))) (/ (pow y 4) (pow x 2))))
(* (pow x 4) (- (+ 1 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 6 (pow x 2))))) (/ (pow y 4) (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (* 4 (/ 1 x))))
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 6 (pow y 4)) x)) 4) x))))
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 6 (* 4 (/ 1 x))) (pow y 4)) x)) 4) x))))
(pow (+ 1 x) 4)
(+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4))
(+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4))
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(* -1 (* (pow x 2) (pow y 4)))
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(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))
1
(+ 1 (* 4 x))
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1
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x
(* x (+ 1 (/ 1 x)))
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x
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(* (pow (* 1 x) 1/4) y)
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(* (pow (* 1 x) 1/4) y)
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(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
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(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
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(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(pow x 2)
(pow x 2)
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(* x (pow y 2))
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(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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Outputs
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
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(* (sqrt x) y)
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(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
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(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
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(* (sqrt x) y)
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(* (sqrt x) y)
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(* x (- (* (sqrt (/ 1 x)) y) 1))
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(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
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(* (sqrt x) y)
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(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
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(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
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(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
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(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
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1
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(/ (pow (+ 1 x) 2) (- 1 x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+ (* (sqrt x) (/ (* y (pow (+ 1 x) 2)) (pow (- 1 x) 2))) (/ (pow (+ 1 x) 2) (- 1 x)))
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(+ (* y (- (* -1 (* y (+ (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))) (/ x (- 1 x))))) (* -1 (* (sqrt x) (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)))))) (/ (pow (+ 1 x) 2) (- 1 x)))
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(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (+ (* (sqrt x) (/ (+ (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))) (/ x (- 1 x))) (- 1 x))) (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2))))))) (+ (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))) (/ x (- 1 x))))) (* -1 (* (sqrt x) (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)))))) (/ (pow (+ 1 x) 2) (- 1 x)))
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(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (pow y 2)))) (* -1 (/ (- 1 x) y))))
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(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) x)) (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (- 1 x))) (/ (* (pow (+ 1 x) 2) (- 1 x)) x))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (- 1 x) y)) (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2)))))))
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(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) y))) (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- 1 x))) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) y)) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (- 1 x)) y))) (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y))) (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y)) (* -1 (- 1 x))) y)))))
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1
#s(literal 1 binary64)
(+ 1 (* 4 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64)))
(+ 1 (* x (+ 4 (* x (- 6 (pow y 4))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 6 binary64) (pow.f64 y #s(literal 4 binary64)))))))
(+ 1 (* x (+ 4 (* x (- (+ 6 (* 4 x)) (pow y 4))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 6 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)))
(* (pow x 4) (- (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2)))) (/ (pow y 4) (pow x 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (-.f64 #s(literal 6 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)))))
(* (pow x 4) (- (+ 1 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 6 (pow x 2))))) (/ (pow y 4) (pow x 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 #s(literal 6 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)))))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)))
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 6 (pow y 4)) x)) 4) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (pow.f64 y #s(literal 4 binary64))) x)) x)))
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 6 (* 4 (/ 1 x))) (pow y 4)) x)) 4) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 6 binary64) (pow.f64 y #s(literal 4 binary64)))) x)) x)))
(pow (+ 1 x) 4)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))
(+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(+ (* -1 (* (pow x 2) (pow y 4))) (pow (+ 1 x) 4))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* -1 (* (pow x 2) (pow y 4)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)))
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)))
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 4)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)))
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)))
(* (pow y 4) (- (/ (pow (+ 1 x) 4) (pow y 4)) (pow x 2)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* 4 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64)))
(+ 1 (* x (+ 4 (* 6 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 6 binary64)))))
(+ 1 (* x (+ 4 (* x (+ 6 (* 4 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))))))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)))
(* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 6 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x)))))))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 4 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)))
(* (pow x 4) (+ 1 (+ (* 4 (/ 1 x)) (/ 6 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 6 (* 4 (/ 1 x))) x)) 4) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 y (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 y (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 y (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 y (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))

eval276.0ms (2.1%)

Memory
38.5MiB live, 425.0MiB allocated
Compiler

Compiled 69 588 to 3 593 computations (94.8% saved)

prune167.0ms (1.3%)

Memory
-17.8MiB live, 443.5MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New1 494131 507
Fresh235
Picked325
Done011
Total1 499191 518
Accuracy
100.0%
Counts
1 518 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))))
40.7%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
47.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
45.5%
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
47.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
40.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
64.8%
(-.f64 #s(literal 1 binary64) x)
36.7%
(-.f64 #s(literal 0 binary64) x)
99.7%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))))
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
53.8%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y))
63.7%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) y))
60.6%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)))
63.8%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
40.2%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))))
37.4%
(*.f64 (sqrt.f64 x) y)
83.0%
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
63.8%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
28.5%
#s(literal 1 binary64)
Compiler

Compiled 495 to 299 computations (39.6% saved)

simplify432.0ms (3.3%)

Memory
-8.7MiB live, 931.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y))
cost-diff0
(*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y))))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))))
cost-diff0
(*.f64 x x)
cost-diff0
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
cost-diff0
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))))
cost-diff6592
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))
cost-diff6656
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)))
Rules
10 932×accelerator-lowering-fma.f32
10 932×accelerator-lowering-fma.f64
4 904×*-lowering-*.f32
4 904×*-lowering-*.f64
3 380×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033267
1101251
2325231
31215220
45551220
08711208
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y))))
(- 1 x)
1
x
(* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y)))
(pow x 1/4)
1/4
(* (pow x 1/8) (* (pow x 1/8) y))
(pow x 1/8)
1/8
(* (pow x 1/8) y)
y
1
(/ (* (+ x 1) (+ x 1)) (- 1 x))
(* (+ x 1) (+ x 1))
(+ x 1)
x
1
(- 1 x)
(+ 1 (* (pow (* x x) 1/4) y))
1
(* (pow (* x x) 1/4) y)
(pow (* x x) 1/4)
(* x x)
x
1/4
y
(/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))
(- 1 (* x (* (* x (* y y)) (* y y))))
1
(* x (* (* x (* y y)) (* y y)))
x
(* (* x (* y y)) (* y y))
(* x (* y y))
(* y y)
y
(* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))
(- 1 (+ x (* y (sqrt x))))
(+ x (* y (sqrt x)))
(* y (sqrt x))
(sqrt x)
(+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))
(* (+ 1 x) (+ 1 x))
(+ 1 x)
Outputs
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y)))
(*.f64 y (sqrt.f64 x))
(pow x 1/4)
(pow.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (pow x 1/8) (* (pow x 1/8) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(pow x 1/8)
(pow.f64 x #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
(* (pow x 1/8) y)
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)
y
1
#s(literal 1 binary64)
(/ (* (+ x 1) (+ x 1)) (- 1 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(* (+ x 1) (+ x 1))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* (pow (* x x) 1/4) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))))
1
#s(literal 1 binary64)
(* (pow (* x x) 1/4) y)
(*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(pow (* x x) 1/4)
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* x x)
(*.f64 x x)
x
1/4
#s(literal 1/4 binary64)
y
(/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 y y)))))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y))))))))
(- 1 (* x (* (* x (* y y)) (* y y))))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 y y))))))
1
#s(literal 1 binary64)
(* x (* (* x (* y y)) (* y y)))
(*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 y y)))))
x
(* (* x (* y y)) (* y y))
(*.f64 y (*.f64 y (*.f64 x (*.f64 y y))))
(* x (* y y))
(*.f64 x (*.f64 y y))
(* y y)
(*.f64 y y)
y
(* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y))))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y)))))))
(- 1 (+ x (* y (sqrt x))))
(-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))
(+ x (* y (sqrt x)))
(+.f64 x (*.f64 y (sqrt.f64 x)))
(* y (sqrt x))
(*.f64 y (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y y))))))
(* (+ 1 x) (+ 1 x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)

localize184.0ms (1.4%)

Memory
6.6MiB live, 233.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 y (sqrt.f64 x))
accuracy94.0%
(*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))
accuracy84.3%
(*.f64 x (*.f64 y y))
accuracy66.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y)
accuracy55.1%
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy77.0%
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(pow.f64 x #s(literal 1/4 binary64))
accuracy99.7%
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)
accuracy99.5%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)))
accuracy99.5%
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))
Samples
127.0ms256×0valid
Compiler

Compiled 260 to 35 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-add: 34.0ms (43.5% of total)
ival-mult: 18.0ms (23% of total)
ival-pow: 15.0ms (19.2% of total)
ival-sub: 4.0ms (5.1% of total)
ival-sqrt: 4.0ms (5.1% of total)
ival-div: 3.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
5.4MiB live, 40.3MiB allocated
Counts
19 → 372
Calls
Call 1
Inputs
#<alt (* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y)))>
#<alt (* (pow x 1/8) (* (pow x 1/8) y))>
#<alt (+ (- 1 x) (* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y))))>
#<alt (- 1 x)>
#<alt (/ (* (+ x 1) (+ x 1)) (- 1 x))>
#<alt (* (+ x 1) (+ x 1))>
#<alt (+ x 1)>
#<alt (+ 1 (* (pow (* x x) 1/4) y))>
#<alt (* (pow (* x x) 1/4) y)>
#<alt (pow (* x x) 1/4)>
#<alt (* x x)>
#<alt (/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))>
#<alt (- 1 (* x (* (* x (* y y)) (* y y))))>
#<alt (* x (* (* x (* y y)) (* y y)))>
#<alt (* (* x (* y y)) (* y y))>
#<alt (* (pow x 1/8) y)>
#<alt (pow x 1/4)>
#<alt (* x (* y y))>
#<alt (* y (sqrt x))>
Outputs
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* 4 x))))>
#<alt (+ 1 (* x (+ 3 (* x (+ 4 (* 4 x))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))>
#<alt (* x (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 1))>
#<alt (* x (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 4 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 3) x)))))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* -1 (* (sqrt x) (* y (sqrt -1))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (sqrt -1))) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (sqrt -1))) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (sqrt -1))) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* y (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* y (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* y (sqrt -1))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (- 1 (* (sqrt x) y)))>
#<alt (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 4) (- 1 (* (sqrt x) y)))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y))))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 4) (- 1 (* (sqrt x) y)))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (+ (* -1 (/ (pow y 4) (- 1 (* (sqrt x) y)))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y))))))) (- 1 (* (sqrt x) y))) (/ (* (- (+ 1 (* -1 (+ 2 (pow y 2)))) (* (sqrt x) y)) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y)))))) (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* -1 (/ (+ 2 (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (* (+ 2 (pow y 2)) (- 1 (* (sqrt x) y))) 1) (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y))))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (/ (pow y 4) (* x (+ 1 (* (sqrt (/ 1 x)) y))))>
#<alt (/ (+ (/ (* (pow y 4) (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2)))))) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 4) (+ 1 (* (sqrt (/ 1 x)) y)))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 4) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (* -1 (/ (* (pow y 4) (pow (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) 2)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (pow x 2))) (/ (pow y 4) (+ 1 (* (sqrt (/ 1 x)) y)))) (* -1 (/ (* (pow y 4) (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2)))))) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow y 4) (* (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2))))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (+ (* -1 (/ (pow y 4) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) (+ (* -1 (/ (* (pow y 4) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (* -1 (/ (* (pow y 4) (pow (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) 2)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ 1 (* (sqrt (/ 1 x)) y))))) (pow x 3))) (/ (pow y 4) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* -1 (/ (* (pow y 4) (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2)))))) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* -1 (/ (* (pow y 4) (+ 2 (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)))) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* -1 (/ (* (pow y 4) (pow (+ 1 (* -1 (* (+ 1 (* (sqrt (/ 1 x)) y)) (+ 2 (pow y 2))))) 2)) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))) (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))))))) x)>
#<alt (/ (pow y 4) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow y 4) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (* (pow y 4) (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))>
#<alt (/ 1 (* (pow (+ 1 x) 2) (- 1 x)))>
#<alt (+ (* (sqrt x) (/ y (* (pow (+ 1 x) 2) (pow (- 1 x) 2)))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x))))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))))) (* -1 (* (sqrt x) (/ 1 (* (pow (+ 1 x) 2) (pow (- 1 x) 2))))))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x))))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow (+ 1 x) 4) (pow (- 1 x) 2))))) (+ (* (sqrt x) (/ (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))) (- 1 x))) (* (sqrt (pow x 3)) (/ 1 (* (pow (+ 1 x) 4) (pow (- 1 x) 2)))))))) (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))))) (* -1 (* (sqrt x) (/ 1 (* (pow (+ 1 x) 2) (pow (- 1 x) 2))))))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x))))>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (pow y 2)))) (* -1 (/ (- 1 x) y))))>
#<alt (* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) x)) (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (- 1 x))) (/ (* (pow (+ 1 x) 2) (- 1 x)) x))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (- 1 x) y)) (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2)))))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) y))) (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- 1 x))) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (- 1 x)) y))) (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y))) (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y)) (* -1 (- 1 x))) y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))>
#<alt (* -1 (* (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))>
#<alt (* -1 (* (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 4))))>
#<alt (* -1 (* (pow x 2) (pow y 4)))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))>
#<alt (* -1 (* (pow x 2) (pow y 4)))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))>
#<alt (* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* (pow x 2) (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (* (pow (* 1 x) 1/8) y)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
Calls

93 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))
2.0ms
x
@inf
(/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))
1.0ms
x
@0
(/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))
1.0ms
y
@-inf
(+ 1 (* (pow (* x x) 1/4) y))
1.0ms
y
@0
(/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))

rewrite491.0ms (3.7%)

Memory
34.1MiB live, 872.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 526×/-lowering-/.f32
4 526×/-lowering-/.f64
4 404×accelerator-lowering-fma.f32
4 404×accelerator-lowering-fma.f64
4 246×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033162
1229120
22210117
08702113
Stop Event
iter limit
node limit
Counts
19 → 999
Calls
Call 1
Inputs
(* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y)))
(* (pow x 1/8) (* (pow x 1/8) y))
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/8) (* (pow x 1/8) y))))
(- 1 x)
(/ (* (+ x 1) (+ x 1)) (- 1 x))
(* (+ x 1) (+ x 1))
(+ x 1)
(+ 1 (* (pow (* x x) 1/4) y))
(* (pow (* x x) 1/4) y)
(pow (* x x) 1/4)
(* x x)
(/ (- 1 (* x (* (* x (* y y)) (* y y)))) (* (- 1 (+ x (* y (sqrt x)))) (+ (* (+ 1 x) (+ 1 x)) (* x (* y y)))))
(- 1 (* x (* (* x (* y y)) (* y y))))
(* x (* (* x (* y y)) (* y y)))
(* (* x (* y y)) (* y y))
(* (pow x 1/8) y)
(pow x 1/4)
(* x (* y y))
(* y (sqrt x))
Outputs
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 y (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 y (sqrt.f64 x))))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)) (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) y) (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 y (sqrt.f64 x)))
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simplify456.0ms (3.5%)

Memory
-41.7MiB live, 736.3MiB allocated
Algorithm
egg-herbie
Rules
7 002×accelerator-lowering-fma.f32
7 002×accelerator-lowering-fma.f64
5 478×*-lowering-*.f32
5 478×*-lowering-*.f64
2 300×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04184268
113514024
254073924
087613743
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
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(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
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(* (sqrt x) y)
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(* (sqrt x) y)
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(* (sqrt x) y)
(* (sqrt x) y)
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(* (pow (* 1 x) 1/4) y)
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(* (pow (* 1 x) 1/4) y)
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1
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1
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(* -1 x)
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(* -1 x)
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(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 3) x)))))
1
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1
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(* -1 (/ (+ (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow y 4) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (/ (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (* (pow y 4) (* (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))))) (+ (* -1 (/ (* (pow y 4) (- (* -1 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (pow y 4) (pow (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2))) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (* -1 (/ (* (pow y 4) (+ 1 (* (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (* -1 (pow y 2)) 2)))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* -1 (/ (pow y 4) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(/ 1 (* (pow (+ 1 x) 2) (- 1 x)))
(+ (* (sqrt x) (/ y (* (pow (+ 1 x) 2) (pow (- 1 x) 2)))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))))) (* -1 (* (sqrt x) (/ 1 (* (pow (+ 1 x) 2) (pow (- 1 x) 2))))))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x))))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow (+ 1 x) 4) (pow (- 1 x) 2))))) (+ (* (sqrt x) (/ (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))) (- 1 x))) (* (sqrt (pow x 3)) (/ 1 (* (pow (+ 1 x) 4) (pow (- 1 x) 2)))))))) (+ (* -1 (/ x (* (pow (+ 1 x) 2) (pow (- 1 x) 3)))) (/ x (* (pow (+ 1 x) 4) (- 1 x)))))) (* -1 (* (sqrt x) (/ 1 (* (pow (+ 1 x) 2) (pow (- 1 x) 2))))))) (/ 1 (* (pow (+ 1 x) 2) (- 1 x))))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (pow y 2)))) (* -1 (/ (- 1 x) y))))
(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) x)) (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (- 1 x))) (/ (* (pow (+ 1 x) 2) (- 1 x)) x))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (- 1 x) y)) (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2)))))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) y))) (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) y))) (* -1 (- 1 x))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (- 1 x)) y))) (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y))) (/ (* (pow (+ 1 x) 2) (- 1 x)) (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y)) (* -1 (- 1 x))) y)))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 4))))
(+ 1 (* -1 (* (pow x 2) (pow y 4))))
(+ 1 (* -1 (* (pow x 2) (pow y 4))))
(* -1 (* (pow x 2) (pow y 4)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
(* -1 (* (pow x 2) (pow y 4)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
1
(+ 1 (* -1 (* (pow x 2) (pow y 4))))
(+ 1 (* -1 (* (pow x 2) (pow y 4))))
(+ 1 (* -1 (* (pow x 2) (pow y 4))))
(* -1 (* (pow x 2) (pow y 4)))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))
(* -1 (* (pow x 2) (pow y 4)))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* (pow x 2) (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* x (pow y 4))
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(* (pow (* 1 x) 1/8) y)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 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)
(* (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))))
Outputs
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(+ 1 (* (sqrt x) y))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 1 (* x (+ 3 (* 4 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))))
(+ 1 (* x (+ 3 (* x (+ 4 (* 4 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal -3 binary64) x)
(* x (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)))
(* x (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal -3 binary64) x)
(* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 4 (pow x 2))))))
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 3) x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 1 (* x (+ 2 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(+ 1 (* x (+ 2 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
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(/ 1 (* (pow (+ 1 x) 2) (- 1 x)))
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(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
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(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (pow y 2)))) (* -1 (/ (- 1 x) y))))
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(* y (- (+ (sqrt x) (* -1 (/ (+ (* -1 (/ (* (pow (+ 1 x) 2) (- 1 x)) x)) (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (- 1 x))) (/ (* (pow (+ 1 x) 2) (- 1 x)) x))) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (- 1 x) y)) (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2)))))))
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(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
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1
#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
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(* -1 (* (pow x 2) (pow y 4)))
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(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
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(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
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(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
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(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 4)))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 4))))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(+ 1 (* -1 (* (pow x 2) (pow y 4))))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
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(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* -1 (* (pow x 2) (pow y 4)))
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(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))
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(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))
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(* -1 (* (pow x 2) (pow y 4)))
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(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
(*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* (pow x 2) (pow y 4))
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(* x (pow y 4))
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(* x (pow y 4))
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(* x (pow y 4))
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(* x (pow y 4))
(*.f64 x (pow.f64 y #s(literal 4 binary64)))
(* x (pow y 4))
(*.f64 x (pow.f64 y #s(literal 4 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/8 binary64))))
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))
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(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/8 binary64))))
(* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/8 binary64))))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(* (pow (* 1 x) 1/8) y)
(*.f64 y (pow.f64 x #s(literal 1/8 binary64)))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
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(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
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(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
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(*.f64 x (*.f64 y y))
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(*.f64 x (*.f64 y y))
(* x (pow y 2))
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(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
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(*.f64 (sqrt.f64 x) y)
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(*.f64 (sqrt.f64 x) y)
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(*.f64 (sqrt.f64 x) y)
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(*.f64 (sqrt.f64 x) y)
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(*.f64 (sqrt.f64 x) y)
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(*.f64 (sqrt.f64 x) y)
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(*.f64 (sqrt.f64 x) y)
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(*.f64 (sqrt.f64 x) y)
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(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
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(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)

eval256.0ms (1.9%)

Memory
19.4MiB live, 453.1MiB allocated
Compiler

Compiled 52 728 to 4 062 computations (92.3% saved)

prune236.0ms (1.8%)

Memory
33.9MiB live, 490.8MiB allocated
Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New1 528181 546
Fresh4711
Picked145
Done033
Total1 533321 565
Accuracy
100.0%
Counts
1 565 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.4%
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
39.0%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
37.5%
(/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
33.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))))
40.7%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
30.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
45.4%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
38.5%
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
43.1%
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
45.5%
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
18.8%
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
19.5%
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
47.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
40.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
64.8%
(-.f64 #s(literal 1 binary64) x)
36.7%
(-.f64 #s(literal -3 binary64) x)
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
36.3%
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
53.8%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y))
63.7%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)))
60.6%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)))
63.8%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
29.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))))))
29.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))))
28.4%
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
38.5%
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
37.4%
(*.f64 (sqrt.f64 x) y)
83.0%
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
36.3%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)))
36.2%
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64)))
63.8%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
28.5%
#s(literal 1 binary64)
Compiler

Compiled 1 022 to 534 computations (47.7% saved)

simplify451.0ms (3.4%)

Memory
-28.7MiB live, 902.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
cost-diff256
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
cost-diff768
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff0
(*.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff0
(-.f64 #s(literal -3 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff0
(sqrt.f64 x)
cost-diff0
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
cost-diff128
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
Rules
15 548×accelerator-lowering-fma.f32
15 548×accelerator-lowering-fma.f64
3 116×*-lowering-*.f32
3 116×*-lowering-*.f64
3 024×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029266
186262
2214248
3710208
43125208
08218197
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* y (+ (sqrt x) (/ (- 1 x) y)))
y
(+ (sqrt x) (/ (- 1 x) y))
(sqrt x)
x
(/ (- 1 x) y)
(- 1 x)
1
(- -3 x)
-3
x
(/ 1 (/ (+ x 1) (- 1 (* x x))))
1
(/ (+ x 1) (- 1 (* x x)))
(+ x 1)
x
(- 1 (* x x))
(* x x)
(/ 1 (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x)))))
1
(/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x))))
(+ 1 (* x (+ x 1)))
(* x (+ x 1))
x
(+ x 1)
(- 1 (* x (* x x)))
(* x (* x x))
(* x x)
(/ (/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))) (- 1 x))
(/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x)))))
(+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1))
(* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x))))
(* (- 1 (* x x)) x)
(- 1 (* x x))
1
(* x x)
x
(/ (- 1 x) (- 1 (* x x)))
(- 1 x)
(* (- 1 x) 1)
(* (- 1 x) (/ (- 1 x) (- 1 (* x x))))
Outputs
(* y (+ (sqrt x) (/ (- 1 x) y)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
y
(+ (sqrt x) (/ (- 1 x) y))
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(sqrt x)
(sqrt.f64 x)
x
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(- -3 x)
(-.f64 #s(literal -3 binary64) x)
-3
#s(literal -3 binary64)
x
(/ 1 (/ (+ x 1) (- 1 (* x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(/ (+ x 1) (- 1 (* x x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
(/ 1 (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
1
#s(literal 1 binary64)
(/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(+ 1 (* x (+ x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(* x (+ x 1))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))
(- 1 (* x (* x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(/ (/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))) (- 1 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x))))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* (- 1 (* x x)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(/ (- 1 x) (- 1 (* x x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(* (- 1 x) 1)
(-.f64 #s(literal 1 binary64) x)
(* (- 1 x) (/ (- 1 x) (- 1 (* x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

localize128.0ms (1%)

Memory
-8.6MiB live, 186.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy93.0%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy77.0%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
accuracy77.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy100.0%
(*.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
accuracy68.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy77.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy100.0%
(-.f64 #s(literal -3 binary64) x)
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy100.0%
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy83.0%
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
Samples
58.0ms256×0valid
Compiler

Compiled 300 to 31 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 18.0ms (43.7% of total)
ival-div: 12.0ms (29.1% of total)
ival-sub: 5.0ms (12.1% of total)
ival-add: 4.0ms (9.7% of total)
ival-sqrt: 2.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
27.3MiB live, 27.3MiB allocated
Counts
21 → 288
Calls
Call 1
Inputs
#<alt (* y (+ (sqrt x) (/ (- 1 x) y)))>
#<alt (+ (sqrt x) (/ (- 1 x) y))>
#<alt (sqrt x)>
#<alt (/ (- 1 x) y)>
#<alt (- -3 x)>
#<alt (/ 1 (/ (+ x 1) (- 1 (* x x))))>
#<alt (/ (+ x 1) (- 1 (* x x)))>
#<alt (+ x 1)>
#<alt (- 1 (* x x))>
#<alt (/ 1 (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x)))))>
#<alt (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x))))>
#<alt (+ 1 (* x (+ x 1)))>
#<alt (* x (+ x 1))>
#<alt (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x))))>
#<alt (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1))>
#<alt (* (- 1 x) 1)>
#<alt (/ (/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))) (- 1 x))>
#<alt (* x x)>
#<alt (* x (* x x))>
#<alt (/ (- 1 x) (- 1 (* x x)))>
#<alt (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))>
Outputs
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (+ (sqrt x) (/ 1 y))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (/ (- (+ 1 (* (sqrt x) y)) x) y)>
#<alt (sqrt x)>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (sqrt x)>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (- (+ (sqrt x) (/ 1 y)) (/ x y))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt -3>
#<alt (- (* -1 x) 3)>
#<alt (- (* -1 x) 3)>
#<alt (- (* -1 x) 3)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* 4 x))))>
#<alt (+ 1 (* x (+ 3 (* x (+ 4 (* 4 x))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))>
#<alt (* x (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 1))>
#<alt (* x (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 4 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 3) x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>
Calls

72 calls:

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

rewrite606.0ms (4.6%)

Memory
-35.1MiB live, 973.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 568×*-lowering-*.f32
4 568×*-lowering-*.f64
4 530×/-lowering-/.f32
4 530×/-lowering-/.f64
3 390×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029184
1222120
22073118
08328113
Stop Event
iter limit
node limit
Counts
21 → 1 531
Calls
Call 1
Inputs
(* y (+ (sqrt x) (/ (- 1 x) y)))
(+ (sqrt x) (/ (- 1 x) y))
(sqrt x)
(/ (- 1 x) y)
(- -3 x)
(/ 1 (/ (+ x 1) (- 1 (* x x))))
(/ (+ x 1) (- 1 (* x x)))
(+ x 1)
(- 1 (* x x))
(/ 1 (/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x)))))
(/ (+ 1 (* x (+ x 1))) (- 1 (* x (* x x))))
(+ 1 (* x (+ x 1)))
(* x (+ x 1))
(* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x))))
(+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1))
(* (- 1 x) 1)
(/ (/ (+ (* (* (- 1 (* x x)) x) (/ (- 1 x) (- 1 (* x x)))) (* (- 1 x) 1)) (* (- 1 x) (/ (- 1 x) (- 1 (* x x))))) (- 1 x))
(* x x)
(* x (* x x))
(/ (- 1 x) (- 1 (* x x)))
(* (- 1 x) (/ (- 1 x) (- 1 (* x x))))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (sqrt.f64 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 y (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) y) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) y) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)
(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 x y) (sqrt.f64 x)))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(fma.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))))
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(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 x (/.f64 (sqrt.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) x))))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))

simplify429.0ms (3.3%)

Memory
13.5MiB live, 727.5MiB allocated
Algorithm
egg-herbie
Rules
12 810×accelerator-lowering-fma.f32
12 810×accelerator-lowering-fma.f64
5 046×*-lowering-*.f32
5 046×*-lowering-*.f64
1 598×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01971725
15841579
215901496
357951496
084851427
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* y (+ (sqrt x) (/ 1 y)))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(+ (sqrt x) (/ 1 y))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)) (/ 1 (* x y)))))
(/ (- 1 x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(/ (- (+ 1 (* (sqrt x) y)) x) y)
(sqrt x)
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(sqrt x)
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(- (+ (sqrt x) (/ 1 y)) (/ x y))
(- (+ (sqrt x) (/ 1 y)) (/ x 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 y)
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
-3
(- (* -1 x) 3)
(- (* -1 x) 3)
(- (* -1 x) 3)
(* -1 x)
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 (* 4 x))))
(+ 1 (* x (+ 3 (* x (+ 4 (* 4 x))))))
(* -1 x)
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 4 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 3) x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* y (+ (sqrt x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 x) (* y (+ (sqrt x) (/ 1 y))))
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(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x)))
(* x (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (* 3 (/ 1 x)))))
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal -3 binary64) x)
(* -1 (* x (+ 1 (+ (* 3 (/ 1 x)) (/ 4 (pow x 2))))))
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 3) x)))))
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.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
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x))

eval391.0ms (3%)

Memory
42.5MiB live, 653.7MiB allocated
Compiler

Compiled 90 808 to 6 686 computations (92.6% saved)

prune452.0ms (3.4%)

Memory
-23.3MiB live, 613.4MiB allocated
Pruning

35 alts after pruning (29 fresh and 6 done)

PrunedKeptTotal
New2 124222 146
Fresh13720
Picked415
Done257
Total2 143352 178
Accuracy
100.0%
Counts
2 178 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.5%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
14.4%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
15.3%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
19.5%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
32.2%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
29.7%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
32.1%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
32.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
55.8%
(/.f64 (*.f64 (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) y) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
65.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
18.8%
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
19.5%
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
49.2%
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x)))
32.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
13.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
19.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
32.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
31.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
36.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
36.5%
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x)
64.8%
(-.f64 #s(literal 1 binary64) x)
36.7%
(-.f64 #s(literal -3 binary64) x)
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
36.3%
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x))
53.8%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y))
60.6%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)))
63.8%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
29.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))))))
29.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))))
28.4%
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
37.4%
(*.f64 (sqrt.f64 x) y)
63.7%
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
63.8%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
28.5%
#s(literal 1 binary64)
3.7%
#s(literal -3 binary64)
Compiler

Compiled 1 754 to 583 computations (66.8% saved)

regimes69.0ms (0.5%)

Memory
-10.5MiB live, 139.3MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -3 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)))
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))))))
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) y))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
(/.f64 (*.f64 (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) y) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) y))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Calls

3 calls:

23.0ms
y
19.0ms
x
18.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes42.0ms (0.3%)

Memory
23.5MiB live, 100.7MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -3 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)))
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))))))
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
Calls

2 calls:

21.0ms
x
15.0ms
y
Results
AccuracySegmentsBranch
84.0%2x
97.4%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory
-30.4MiB live, 46.4MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -3 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)))
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))))))
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) y)
Outputs
(*.f64 (sqrt.f64 x) y)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
Calls

1 calls:

13.0ms
y
Results
AccuracySegmentsBranch
95.3%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.3%)

Memory
0.3MiB live, 81.1MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -3 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)))
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))))))
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

13.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
65.0%1x
66.8%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
34.8MiB live, 34.8MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -3 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)))
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))))))
(+.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))))))
Calls

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
66.8%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-18.6MiB live, 20.4MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -3 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) x)) x)))
(+.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
65.0%1y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-16.5MiB live, 23.0MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -3 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -4 binary64) x)) x)
(/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 #s(literal 1 binary64) x)
Calls

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
64.8%1x
64.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -3 binary64) x)
(-.f64 #s(literal 0 binary64) x)
Outputs
#s(literal 1 binary64)
(-.f64 #s(literal 0 binary64) x)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
63.2%2x
40.5%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -3 binary64) x)
Outputs
#s(literal 1 binary64)
(-.f64 #s(literal -3 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
63.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
#s(literal -3 binary64)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
28.5%1y
30.2%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
10.7MiB live, 10.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
Outputs
#s(literal -3 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
3.7%1y
3.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch32.0ms (0.2%)

Memory
-31.2MiB live, 64.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
2469771278216.2295
1.1678798566125706e+20
11.0ms
-8.179489255970074e+33
-4.251010401272247e+27
Samples
13.0ms288×0valid
Compiler

Compiled 283 to 228 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (29.1% of total)
ival-mult: 2.0ms (29.1% of total)
ival-sqrt: 2.0ms (29.1% of total)
ival-add: 1.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
10.7MiB live, 50.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
4.9555898041355886e+42
2.9122319974279197e+44
12.0ms
-4.268850184603983e+46
-3.674154570920006e+39
Samples
12.0ms256×0valid
Compiler

Compiled 221 to 172 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (32.2% of total)
ival-sqrt: 2.0ms (32.2% of total)
ival-sub: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Memory
-19.9MiB live, 18.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
39.0ms
4.9555898041355886e+42
2.9122319974279197e+44
Samples
36.0ms112×0valid
Compiler

Compiled 405 to 201 computations (50.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (37% of total)
ival-mult: 1.0ms (37% of total)
ival-sqrt: 1.0ms (37% 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)

bsearch10.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
4.9555898041355886e+42
2.9122319974279197e+44
Samples
5.0ms112×0valid
Compiler

Compiled 195 to 145 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (37.4% of total)
ival-mult: 1.0ms (37.4% of total)
ival-sqrt: 1.0ms (37.4% 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)

bsearch24.0ms (0.2%)

Memory
-24.6MiB live, 14.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
0.26730984428714766
3.8686677565166643
Samples
20.0ms96×0valid
Compiler

Compiled 73 to 66 computations (9.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sub: 16.0ms (87.7% of total)
ival-mult: 1.0ms (5.5% of total)
ival-sqrt: 1.0ms (5.5% 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)

bsearch8.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
0.26730984428714766
3.8686677565166643
Samples
4.0ms96×0valid
Compiler

Compiled 73 to 66 computations (9.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (42.9% of total)
ival-sqrt: 1.0ms (42.9% 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)

bsearch8.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
0.26730984428714766
3.8686677565166643
Samples
4.0ms96×0valid
Compiler

Compiled 61 to 60 computations (1.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (43.8% of total)
ival-sqrt: 1.0ms (43.8% 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)

simplify32.0ms (0.2%)

Memory
-23.3MiB live, 18.9MiB allocated
Algorithm
egg-herbie
Rules
26×*-commutative_binary64
26×+-commutative_binary64
10×sub-neg_binary64
neg-mul-1_binary64
if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056150
194150
2102150
3105150
4106150
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 y #s(literal -5500000000000000565354898883870720 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 115000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -14500000000000001041412916226638270121138716672 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -3 binary64))
#s(literal -3 binary64)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 y #s(literal -5500000000000000565354898883870720 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 115000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -5500000000000000565354898883870720 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 115000000000000000000 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -14500000000000001041412916226638270121138716672 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(if (<=.f64 y #s(literal -14500000000000001041412916226638270121138716672 binary64)) (*.f64 y (sqrt.f64 x)) (if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))))))
(if (<=.f64 y #s(literal 290000000000000017659131823962191898681016320 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -3 binary64))
#s(literal -3 binary64)

soundness4.1s (31.3%)

Memory
36.2MiB live, 4 457.8MiB allocated
Rules
12 810×accelerator-lowering-fma.f32
12 810×accelerator-lowering-fma.f64
7 542×accelerator-lowering-fma.f32
7 542×accelerator-lowering-fma.f64
7 050×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052369
1141369
2438357
31298357
44657357
57379357
08084330
0717
14217
235317
3535117
0901316
01971725
15841579
215901496
357951496
084851427
033162
1229120
22210117
08702113
029184
1222120
22073118
08328113
04544838
114674475
258484376
086394147
031158
1217105
21916103
0819499
04184268
113514024
254073924
087613743
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 453 to 244 computations (46.1% saved)

preprocess63.0ms (0.5%)

Memory
1.8MiB live, 150.6MiB allocated
Compiler

Compiled 342 to 122 computations (64.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...