Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

Time bar (total: 5.1s)

analyze0.0ms (0%)

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

Compiled 9 to 8 computations (11.1% saved)

sample864.0ms (16.9%)

Memory
10.8MiB live, 991.5MiB allocated
Samples
696.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 441.0ms
ival-mult: 391.0ms (88.6% of total)
ival-add: 39.0ms (8.8% of total)
ival-true: 6.0ms (1.4% of total)
...in/eval/compile.rkt:76:19: 3.0ms (0.7% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess71.0ms (1.4%)

Memory
-14.6MiB live, 108.6MiB allocated
Algorithm
egg-herbie
Rules
252×fma-define
80×fmm-def
77×associate-*r*
60×distribute-lft-in
49×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023204
174176
2217176
3547176
4824176
51046176
61128176
71134176
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x x)))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 x (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 y)))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 x (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 y (fma.f64 x x #s(literal 1 binary64)))
Symmetry

(abs y)

(negabs x)

explain68.0ms (1.3%)

Memory
19.7MiB live, 147.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
180-0-(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 y y)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 y y))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))n*o180
Confusion
Predicted +Predicted -
+180
-0238
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1800
-00238
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0238
118
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (70.7% of total)
ival-add: 2.0ms (20.2% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify9.0ms (0.2%)

Memory
-35.1MiB live, 3.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff-6272
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff0
(*.f64 y y)
Rules
13×fma-define
associate-*r*
associate-*l*
*-commutative
*-rgt-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01169
12561
23861
36561
46961
57161
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y

localize17.0ms (0.3%)

Memory
24.9MiB live, 24.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy100.0%
(*.f64 y y)
accuracy93.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Samples
11.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (80.8% of total)
ival-add: 1.0ms (20.2% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (*.f64 y y)>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y y))>
Outputs
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
Calls

12 calls:

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

rewrite206.0ms (4%)

Memory
3.3MiB live, 276.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
535×log1p-expm1-u
535×expm1-log1p-u
477×unpow-prod-down
446×pow1
282×prod-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01151
112749
2157849
Stop Event
node limit
Counts
3 → 138
Calls
Call 1
Inputs
(*.f64 y y)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 x (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 y x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) x)
(fma.f64 (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64)) (cbrt.f64 y) #s(literal 1 binary64))

simplify112.0ms (2.2%)

Memory
3.3MiB live, 118.6MiB allocated
Algorithm
egg-herbie
Rules
436×associate-*r*
433×fma-define
407×exp-prod
389×distribute-lft-neg-in
230×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03104364
16464318
213814287
348564287
Stop Event
node limit
Counts
186 → 171
Calls
Call 1
Inputs
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 x (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 y x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) x)
(fma.f64 (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
Outputs
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 y #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(pow.f64 y #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 binary64))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 binary64))
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y y #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y y #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y y #s(literal 1 binary64))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 y y #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))

eval22.0ms (0.4%)

Memory
2.8MiB live, 40.2MiB allocated
Compiler

Compiled 2 099 to 482 computations (77% saved)

prune28.0ms (0.5%)

Memory
-18.0MiB live, 59.1MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1647171
Fresh000
Picked011
Done000
Total1648172
Accuracy
100.0%
Counts
172 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
99.9%
(fma.f64 (*.f64 x y) y x)
99.3%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
70.3%
(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
93.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
82.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
52.3%
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)))
57.2%
x
Compiler

Compiled 149 to 106 computations (28.9% saved)

simplify114.0ms (2.2%)

Memory
5.6MiB live, 54.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(hypot.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
cost-diff12800
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
cost-diff0
(pow.f64 y #s(literal 4 binary64))
cost-diff0
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
cost-diff-6272
(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
cost-diff0
(pow.f64 y #s(literal 6 binary64))
cost-diff0
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 (*.f64 x y) y x)
Rules
745×fma-define
646×fmm-def
528×unsub-neg
381×times-frac
358×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029346
160346
298339
3198339
4447339
51237339
62602339
74631339
87238339
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
x
(+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
#s(literal 1 binary64)
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 y #s(literal 6 binary64))
y
#s(literal 6 binary64)
(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
x
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 1 binary64)
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(hypot.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 x)
x
#s(literal 2 binary64)
Outputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x y)
x
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
(fma.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))) x)
x
(+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
#s(literal 1 binary64)
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 y #s(literal 6 binary64))
y
#s(literal 6 binary64)
(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
x
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 1 binary64)
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (*.f64 x y) y x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(hypot.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 x)
x
#s(literal 2 binary64)

localize72.0ms (1.4%)

Memory
8.8MiB live, 124.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 #s(literal 1 binary64) y)
accuracy100.0%
(sqrt.f64 x)
accuracy99.9%
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
accuracy99.4%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
accuracy100.0%
(pow.f64 y #s(literal 4 binary64))
accuracy100.0%
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy93.4%
(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
accuracy70.6%
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
accuracy100.0%
(pow.f64 y #s(literal 6 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
accuracy93.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
accuracy63.7%
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
accuracy100.0%
(*.f64 x y)
accuracy99.9%
(fma.f64 (*.f64 x y) y x)
Samples
47.0ms256×0valid
Compiler

Compiled 101 to 26 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 9.0ms (28% of total)
ival-pow: 6.0ms (18.7% of total)
ival-add: 4.0ms (12.5% of total)
ival-hypot: 4.0ms (12.5% of total)
ival-div: 2.0ms (6.2% of total)
ival-cbrt: 2.0ms (6.2% of total)
ival-sqrt: 2.0ms (6.2% of total)
ival-pow2: 2.0ms (6.2% of total)
ival-sub: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series148.0ms (2.9%)

Memory
1.1MiB live, 41.0MiB allocated
Counts
14 → 181
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 x y) y x)>
#<alt (*.f64 x y)>
#<alt (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))>
#<alt (pow.f64 y #s(literal 6 binary64))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))>
#<alt (*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))>
#<alt (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))>
#<alt (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))>
#<alt (pow.f64 y #s(literal 4 binary64))>
#<alt (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))>
#<alt (hypot.f64 #s(literal 1 binary64) y)>
#<alt (sqrt.f64 x)>
Outputs
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
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#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

60 calls:

TimeVariablePointExpression
122.0ms
y
@0
(* x (/ (- (pow y 4) 1) (+ (* y y) -1)))
2.0ms
y
@inf
(* x (/ (- (pow y 4) 1) (+ (* y y) -1)))
1.0ms
x
@0
(* x (/ (- (pow y 4) 1) (+ (* y y) -1)))
1.0ms
x
@-inf
(pow (* (sqrt (+ (* 1 1) (* y y))) (sqrt x)) 2)
1.0ms
x
@0
(* x y)

rewrite194.0ms (3.8%)

Memory
13.9MiB live, 128.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
981×log1p-expm1-u
793×expm1-log1p-u
168×add-exp-log
168×pow1
168×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029286
1404268
25321268
Stop Event
node limit
Counts
14 → 411
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 y #s(literal 6 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(hypot.f64 #s(literal 1 binary64) y)
(sqrt.f64 x)
Outputs
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) y) x))
(*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) x))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) y)) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)) (hypot.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)) (hypot.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
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(/.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) y) x))
(*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) x))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) y)) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x y) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(fabs.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 y y #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) y))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) y)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))

simplify322.0ms (6.3%)

Memory
-18.3MiB live, 292.3MiB allocated
Algorithm
egg-herbie
Rules
562×associate-*r*
469×associate-*l*
384×fmm-def
346×prod-exp
329×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073617411
1153116978
2559716800
Stop Event
node limit
Counts
592 → 482
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
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(pow.f64 y #s(literal 2 binary64))
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(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
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x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
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x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
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(pow.f64 y #s(literal 2 binary64))
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(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(literal -1 binary64)
(pow.f64 y #s(literal 4 binary64))
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(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
x
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(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
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(*.f64 x (pow.f64 y #s(literal 2 binary64)))
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(*.f64 x (pow.f64 y #s(literal 2 binary64)))
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(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
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(*.f64 (sqrt.f64 x) y)
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))
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(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/8 binary64))))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))))
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(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
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(+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) x)
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(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
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(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) y) x))
(*.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) x))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (*.f64 x (hypot.f64 #s(literal 1 binary64) y)) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x y) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(fabs.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 y y #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) y))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) y)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
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(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))) (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) x))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
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(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
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(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x y) y x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(fabs.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) y))
(hypot.f64 #s(literal 1 binary64) y)
(*.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(hypot.f64 #s(literal 1 binary64) y)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64))
(hypot.f64 #s(literal 1 binary64) y)
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) y)
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))
(hypot.f64 #s(literal 1 binary64) y)
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 #s(literal 1 binary64) y)
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(hypot.f64 #s(literal 1 binary64) y)
(sqrt.f64 (fma.f64 y y #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) y)
(fabs.f64 (hypot.f64 #s(literal 1 binary64) y))
(hypot.f64 #s(literal 1 binary64) y)
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) y)))
(hypot.f64 #s(literal 1 binary64) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) y))))
(hypot.f64 #s(literal 1 binary64) y)
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) y)
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) y)))
(hypot.f64 #s(literal 1 binary64) y)
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)))
(hypot.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) y)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(sqrt.f64 x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(sqrt.f64 x)
(log.f64 (exp.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(sqrt.f64 x)
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (log.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(sqrt.f64 x)

eval71.0ms (1.4%)

Memory
21.1MiB live, 106.0MiB allocated
Compiler

Compiled 7 027 to 1 588 computations (77.4% saved)

prune128.0ms (2.5%)

Memory
-28.0MiB live, 128.8MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4793482
Fresh112
Picked325
Done011
Total4837490
Accuracy
100.0%
Counts
490 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
99.9%
(fma.f64 (*.f64 x y) y x)
98.9%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
45.9%
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
92.8%
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
93.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
57.2%
x
Compiler

Compiled 67 to 44 computations (34.3% saved)

simplify197.0ms (3.8%)

Memory
32.3MiB live, 70.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cbrt.f64 y)
cost-diff0
(pow.f64 (cbrt.f64 y) #s(literal 4 binary64))
cost-diff0
(*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
cost-diff12992
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
cost-diff0
(hypot.f64 #s(literal 1 binary64) y)
cost-diff6528
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff19328
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff12736
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x))
cost-diff12928
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
Rules
776×associate-*r*
707×fma-define
545×associate-*l*
329×*-commutative
185×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029385
152344
298342
3238336
4566323
51070323
61434323
71540323
81583323
91627323
101645323
111645323
122333323
132507323
142623323
152949323
163117323
173117323
183176323
193176323
203176323
213427323
223441323
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(sqrt.f64 x)
x
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 2 binary64)
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(hypot.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
x
(pow.f64 (cbrt.f64 y) #s(literal 4 binary64))
(cbrt.f64 y)
y
#s(literal 4 binary64)
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(sqrt.f64 x)
x
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
x
y
#s(literal 2 binary64)
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(hypot.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 x (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) x)
(fma.f64 x (pow.f64 (cbrt.f64 y) #s(literal 6 binary64)) x)
(*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
x
(pow.f64 (cbrt.f64 y) #s(literal 4 binary64))
(cbrt.f64 y)
y
#s(literal 4 binary64)
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)

localize91.0ms (1.8%)

Memory
-6.0MiB live, 152.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
accuracy99.1%
(cbrt.f64 y)
accuracy98.8%
(pow.f64 (cbrt.f64 y) #s(literal 4 binary64))
accuracy91.9%
(*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
accuracy100.0%
(hypot.f64 #s(literal 1 binary64) y)
accuracy99.9%
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy99.4%
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
accuracy99.2%
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(*.f64 (sqrt.f64 x) y)
accuracy99.6%
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
accuracy100.0%
(fma.f64 y y #s(literal 1 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy96.6%
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
accuracy96.3%
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x))
Samples
62.0ms256×0valid
Compiler

Compiled 111 to 26 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 13.0ms (29.4% of total)
ival-pow2: 10.0ms (22.6% of total)
ival-pow: 7.0ms (15.8% of total)
ival-add: 6.0ms (13.6% of total)
ival-hypot: 4.0ms (9% of total)
ival-cbrt: 2.0ms (4.5% of total)
ival-sqrt: 2.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series115.0ms (2.2%)

Memory
-15.3MiB live, 64.5MiB allocated
Counts
13 → 224
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))>
#<alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x))>
#<alt (fma.f64 y y #s(literal 1 binary64))>
#<alt (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)>
#<alt (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))>
#<alt (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))>
#<alt (cbrt.f64 y)>
#<alt (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 x) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
Calls

63 calls:

TimeVariablePointExpression
80.0ms
y
@-inf
(* (sqrt (+ (* 1 1) (* y y))) (pow (pow x 1/4) 2))
5.0ms
y
@-inf
(+ (* (* x (pow (cbrt y) 4)) (pow (cbrt y) 2)) x)
3.0ms
y
@0
(pow (cbrt y) 2)
2.0ms
x
@0
(* x (pow (cbrt y) 4))
2.0ms
y
@0
(* x (pow (cbrt y) 4))

rewrite166.0ms (3.2%)

Memory
27.7MiB live, 142.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
751×log1p-expm1-u
751×expm1-log1p-u
355×prod-diff
239×log1p-undefine
221×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029268
1392245
24356241
Stop Event
node limit
Counts
13 → 293
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 4 binary64))
(cbrt.f64 y)
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (fma.f64 y y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
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(log.f64 (exp.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))))
(exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 (cbrt.f64 y)) (log.f64 x)))
(exp.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 (cbrt.f64 y)) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 y (cbrt.f64 y))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (cbrt.f64 y))))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (cbrt.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 y #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (cbrt.f64 y))
(log.f64 (exp.f64 (cbrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 y) (cbrt.f64 y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))))
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(fabs.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 1 binary64)))

simplify482.0ms (9.4%)

Memory
-18.1MiB live, 300.3MiB allocated
Algorithm
egg-herbie
Rules
562×associate-*r*
502×distribute-lft-in
486×associate-*l*
394×times-frac
290×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063813477
1129012893
2411412615
Stop Event
node limit
Counts
517 → 408
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
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(sqrt.f64 x)
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(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
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(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
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(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
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(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
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(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
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(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
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(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
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(*.f64 x (pow.f64 y #s(literal 2 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
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(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
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(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
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(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
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(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
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(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
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(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))))
(exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 (cbrt.f64 y)) (log.f64 x)))
(exp.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 (cbrt.f64 y)) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 y (cbrt.f64 y))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (cbrt.f64 y))))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (cbrt.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 y #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (cbrt.f64 y))
(log.f64 (exp.f64 (cbrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))))
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(fabs.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
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eval72.0ms (1.4%)

Memory
24.1MiB live, 139.2MiB allocated
Compiler

Compiled 8 269 to 1 629 computations (80.3% saved)

prune208.0ms (4.1%)

Memory
-1.7MiB live, 156.1MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New5643567
Fresh000
Picked314
Done033
Total5677574
Accuracy
100.0%
Counts
574 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (*.f64 x (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
99.9%
(fma.f64 (*.f64 x y) y x)
45.8%
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
45.9%
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
43.1%
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
93.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
57.2%
x
Compiler

Compiled 64 to 40 computations (37.5% saved)

simplify137.0ms (2.7%)

Memory
-5.2MiB live, 33.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff-6336
(*.f64 x (*.f64 (cbrt.f64 y) y))
cost-diff0
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
cost-diff0
(cbrt.f64 y)
cost-diff19392
(fma.f64 (*.f64 x (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
cost-diff0
(pow.f64 x #s(literal 1/4 binary64))
cost-diff6528
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y)
cost-diff19264
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 y (sqrt.f64 x)) y)
cost-diff12928
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
Rules
1 084×associate-*r*
577×fma-define
434×associate-*l*
277×*-commutative
210×unswap-sqr
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024306
139306
286272
3201249
4366240
5760240
6879240
71140240
81398240
91493240
101537240
111545240
121545240
132192240
142477240
152545240
162551240
172551240
183126240
193211240
203211240
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) y)
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y)
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
#s(literal 2 binary64)
y
(fma.f64 (*.f64 x (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(*.f64 x (*.f64 (cbrt.f64 y) y))
x
(*.f64 (cbrt.f64 y) y)
(cbrt.f64 y)
y
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (sqrt.f64 x))))
(*.f64 y (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 y y))
(*.f64 (*.f64 y (sqrt.f64 x)) y)
(*.f64 y (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (sqrt.f64 x))))
(*.f64 y (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y)
(*.f64 y (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
#s(literal 2 binary64)
y
(fma.f64 (*.f64 x (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x (*.f64 y (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 y (*.f64 x (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 y (*.f64 y x) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (*.f64 (cbrt.f64 y) y))
(*.f64 x (*.f64 y (cbrt.f64 y)))
(*.f64 y (*.f64 x (cbrt.f64 y)))
(*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
x
(*.f64 (cbrt.f64 y) y)
(*.f64 y (cbrt.f64 y))
(pow.f64 (cbrt.f64 y) #s(literal 4 binary64))
(cbrt.f64 y)
y
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)

localize75.0ms (1.5%)

Memory
-5.1MiB live, 119.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (cbrt.f64 y) y)
accuracy99.3%
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
accuracy99.1%
(cbrt.f64 y)
accuracy91.9%
(*.f64 x (*.f64 (cbrt.f64 y) y))
accuracy100.0%
(pow.f64 x #s(literal 1/4 binary64))
accuracy99.6%
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y)
accuracy99.6%
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
accuracy99.2%
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(*.f64 (*.f64 y (sqrt.f64 x)) y)
accuracy99.6%
(*.f64 y (sqrt.f64 x))
accuracy93.1%
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
Samples
42.0ms256×0valid
Compiler

Compiled 84 to 20 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 10.0ms (34.6% of total)
ival-pow2: 8.0ms (27.7% of total)
ival-pow: 5.0ms (17.3% of total)
ival-sqrt: 2.0ms (6.9% of total)
ival-add: 1.0ms (3.5% of total)
ival-cbrt: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series192.0ms (3.7%)

Memory
19.2MiB live, 97.0MiB allocated
Counts
9 → 192
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))>
#<alt (*.f64 (*.f64 y (sqrt.f64 x)) y)>
#<alt (*.f64 y (sqrt.f64 x))>
#<alt (pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y)>
#<alt (pow.f64 x #s(literal 1/4 binary64))>
#<alt (fma.f64 (*.f64 x (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)>
#<alt (*.f64 x (*.f64 (cbrt.f64 y) y))>
#<alt (*.f64 (cbrt.f64 y) y)>
Outputs
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (cbrt.f64 #s(literal -1 binary64))))>
Calls

48 calls:

TimeVariablePointExpression
157.0ms
x
@0
(pow x 1/4)
13.0ms
x
@-inf
(pow x 1/4)
11.0ms
x
@inf
(pow x 1/4)
1.0ms
y
@-inf
(+ (* (* x (* (cbrt y) y)) (pow (cbrt y) 2)) x)
1.0ms
y
@-inf
(* x (* (cbrt y) y))

rewrite138.0ms (2.7%)

Memory
-5.3MiB live, 71.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
624×log-prod
557×log1p-expm1-u
557×expm1-log1p-u
409×prod-diff
242×pow-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024209
1319170
23088166
Stop Event
node limit
Counts
9 → 260
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) y)
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 1/4 binary64))
(fma.f64 (*.f64 x (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(*.f64 x (*.f64 (cbrt.f64 y) y))
(*.f64 (cbrt.f64 y) y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.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)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 y (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(*.f64 y (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (*.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 x (cbrt.f64 y)) (*.f64 y (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (*.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))) y)
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 y)) (cbrt.f64 y))
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.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)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 2 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 #s(literal 0 binary64) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(*.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (neg.f64 x)))
(pow.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) (cbrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 4/3 binary64) (log.f64 y))))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 4/3 binary64) (log.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal 4/3 binary64) (log.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 (sqrt.f64 x)) (*.f64 #s(literal 2/3 binary64) (log.f64 y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 y #s(literal 4/3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 12 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4/9 binary64))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 8/3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(cbrt.f64 (*.f64 y (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(exp.f64 (*.f64 #s(literal 4/3 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3 binary64)))

simplify410.0ms (8%)

Memory
-229.8MiB live, 251.2MiB allocated
Algorithm
egg-herbie
Rules
522×exp-prod
341×prod-exp
283×associate-*r*
279×associate-*l*
199×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
05318589945067
110258589945021
229128589944963
360078589944825
Stop Event
node limit
Counts
452 → 289
Calls
Call 1
Inputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 y #s(literal 4/3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 12 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4/9 binary64))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 8/3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(cbrt.f64 (*.f64 y (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(exp.f64 (*.f64 #s(literal 4/3 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3 binary64)))
Outputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.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.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.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.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.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.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.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.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 12 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4/9 binary64))
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 8/3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 8 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(cbrt.f64 (*.f64 y (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4/3 binary64) (log.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (log.f64 y)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4/3 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 y)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (log.f64 y))) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 4 binary64)))

eval61.0ms (1.2%)

Memory
16.9MiB live, 138.7MiB allocated
Compiler

Compiled 6 148 to 1 403 computations (77.2% saved)

prune61.0ms (1.2%)

Memory
0.2MiB live, 159.4MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4490449
Fresh000
Picked033
Done044
Total4497456
Accuracy
100.0%
Counts
456 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (*.f64 x (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
99.9%
(fma.f64 (*.f64 x y) y x)
45.8%
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
45.9%
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
43.1%
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
93.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
57.2%
x
Compiler

Compiled 186 to 90 computations (51.6% saved)

regimes96.0ms (1.9%)

Memory
-0.1MiB live, 38.4MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (*.f64 x y) y x)
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 x (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
Outputs
(fma.f64 (*.f64 x y) y x)
Calls

5 calls:

79.0ms
y
4.0ms
x
4.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
4.0ms
(*.f64 y y)
3.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
99.9%1(+.f64 #s(literal 1 binary64) (*.f64 y y))
99.9%1(*.f64 y y)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Calls

5 calls:

2.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
2.0ms
x
1.0ms
y
1.0ms
(*.f64 y y)
1.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
93.4%1x
93.4%1y
93.4%1(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
93.4%1(+.f64 #s(literal 1 binary64) (*.f64 y y))
93.4%1(*.f64 y y)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
-31.2MiB live, 7.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

2.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
57.2%1x
57.2%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
egg-herbie
Rules
1-exp
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01459
12359
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
x
Outputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
x

soundness112.0ms (2.2%)

Memory
1.0MiB live, 78.5MiB allocated
Rules
535×log1p-expm1-u
535×expm1-log1p-u
477×unpow-prod-down
446×pow1
282×prod-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01151
112749
2157849
Stop Event
done
node limit
Compiler

Compiled 63 to 24 computations (61.9% saved)

preprocess38.0ms (0.8%)

Memory
26.9MiB live, 102.6MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 164 to 86 computations (47.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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