Examples.Basics.BasicTests:f3 from sbv-4.4

Time bar (total: 3.0s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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 6 computations (33.3% saved)

sample597.0ms (19.6%)

Memory
-7.1MiB live, 658.5MiB allocated
Samples
420.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-mult: 57.0ms (51.5% of total)
ival-add: 45.0ms (40.7% of total)
ival-true: 6.0ms (5.4% of total)
ival-assert: 3.0ms (2.7% of total)
Bogosity

preprocess224.0ms (7.4%)

Memory
-4.4MiB live, 73.8MiB allocated
Algorithm
egg-herbie
Rules
1 098×fmm-def
932×fma-define
285×distribute-rgt-in
223×distribute-lft-in
210×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020257
167217
2237217
3631217
41450217
53051217
63867217
74013217
84013217
94013217
104828217
115116217
125116217
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y)))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y)))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))))
(*.f64 (+.f64 y x) (+.f64 y x))
Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 y (neg.f64 x)) (+.f64 y (neg.f64 x)))
(*.f64 (-.f64 y x) (-.f64 y x))
(*.f64 (+.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y)))
(*.f64 (+.f64 y (neg.f64 x)) (+.f64 y (neg.f64 x)))
(*.f64 (-.f64 y x) (-.f64 y x))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y)))
(*.f64 (+.f64 y (neg.f64 x)) (neg.f64 (+.f64 y (neg.f64 x))))
(*.f64 (-.f64 y x) (-.f64 x y))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))))
(*.f64 (+.f64 y (neg.f64 x)) (neg.f64 (+.f64 y (neg.f64 x))))
(*.f64 (-.f64 y x) (-.f64 x y))
(*.f64 (+.f64 y x) (+.f64 y x))
(*.f64 (+.f64 x y) (+.f64 x y))
Symmetry

(sort x y)

explain100.0ms (3.3%)

Memory
10.0MiB live, 91.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(*.f64 (+.f64 x y) (+.f64 x y))
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (44.4% of total)
ival-mult: 3.0ms (44.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify12.0ms (0.4%)

Memory
-20.0MiB live, 19.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (+.f64 x y))
Rules
70×fma-define
25×associate-+r+
17×associate-+l+
10×distribute-rgt-in
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0952
11652
23452
37252
411552
514552
616552
718252
818452
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(+.f64 x y)
x
y
Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(+.f64 x y)
x
y

localize13.0ms (0.4%)

Memory
35.3MiB live, 35.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
Samples
9.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (58.8% of total)
ival-add: 1.0ms (29.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
-28.7MiB live, 10.2MiB allocated
Counts
2 → 42
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x y) (+.f64 x y))>
#<alt (+.f64 x y)>
Outputs
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #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 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 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 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
Calls

12 calls:

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

rewrite279.0ms (9.1%)

Memory
-9.1MiB live, 314.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
682×prod-diff
515×log1p-expm1-u
515×expm1-log1p-u
418×unpow-prod-down
405×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
110232
2147332
Stop Event
node limit
Counts
2 → 135
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(+.f64 x y)
Outputs
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y)))
(+.f64 (*.f64 y (+.f64 x y)) (*.f64 x (+.f64 x y)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (-.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 x y)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 x y)) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) (log.f64 (+.f64 x y))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64))))
(fma.f64 x (+.f64 x y) (*.f64 y (+.f64 x y)))
(fma.f64 y (+.f64 x y) (*.f64 x (+.f64 x y)))
(fma.f64 (+.f64 x y) x (*.f64 y (+.f64 x y)))
(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x y)) (*.f64 x (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 x y)) y) (*.f64 x (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 x y)) x) (*.f64 y (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (+.f64 x y)) (*.f64 y (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x y)) (*.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) y) (*.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) x) (*.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x y)) (*.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x y)) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 x (+.f64 x y)) #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x y))) (*.f64 y (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 x y))) (*.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 x (+.f64 x y))) (*.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 x y))) (sqrt.f64 (*.f64 y (+.f64 x y))) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x y)) (*.f64 y (+.f64 x y)))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (*.f64 y (+.f64 x y)))
(fma.f64 (*.f64 (+.f64 x y) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) (*.f64 y (+.f64 x y)))
(fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (+.f64 x y)))
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x y)) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (*.f64 x (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (+.f64 x y) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 5 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x y))
(log.f64 (exp.f64 (+.f64 x y)))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(hypot.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 y (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 y (+.f64 x y))) (sqrt.f64 (*.f64 x (+.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)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)

simplify304.0ms (10%)

Memory
22.5MiB live, 142.2MiB allocated
Algorithm
egg-herbie
Rules
505×div-sub
351×associate-/l*
318×exp-prod
265×associate-/r*
205×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03615395
18525259
225615115
365995095
Stop Event
node limit
Counts
177 → 212
Calls
Call 1
Inputs
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #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 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #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 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 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 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y)))
(+.f64 (*.f64 y (+.f64 x y)) (*.f64 x (+.f64 x y)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (-.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 x y)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 x y)) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) (log.f64 (+.f64 x y))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64))))
(fma.f64 x (+.f64 x y) (*.f64 y (+.f64 x y)))
(fma.f64 y (+.f64 x y) (*.f64 x (+.f64 x y)))
(fma.f64 (+.f64 x y) x (*.f64 y (+.f64 x y)))
(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x y)) (*.f64 x (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 x y)) y) (*.f64 x (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 x y)) x) (*.f64 y (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (+.f64 x y)) (*.f64 y (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x y)) (*.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) y) (*.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) x) (*.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x y)) (*.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x y)) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 x (+.f64 x y)) #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x y))) (*.f64 y (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 x y))) (*.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 x (+.f64 x y))) (*.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 x y))) (sqrt.f64 (*.f64 y (+.f64 x y))) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x y)) (*.f64 y (+.f64 x y)))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (*.f64 y (+.f64 x y)))
(fma.f64 (*.f64 (+.f64 x y) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) (*.f64 y (+.f64 x y)))
(fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (+.f64 x y)))
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x y)) (*.f64 x (+.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (*.f64 x (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (+.f64 x y) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 5 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x y))
(log.f64 (exp.f64 (+.f64 x y)))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(hypot.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 y (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 y (+.f64 x y))) (sqrt.f64 (*.f64 x (+.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)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
Outputs
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 2 binary64) (/.f64 y x)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 2 binary64) (/.f64 y x)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (pow.f64 x #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 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (pow.f64 x #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 (/.f64 x y) (+.f64 #s(literal 2 binary64) (/.f64 x y)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (pow.f64 x #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 (/.f64 x y) (+.f64 #s(literal 2 binary64) (/.f64 x y)))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 y))) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -2 binary64) (/.f64 x y))) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 y))) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -2 binary64) (/.f64 x y))) y)))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
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(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 y x))) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(+.f64 y x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (+.f64 x y))
(+.f64 y x)
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 y x))) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 5 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y)))
(+.f64 y x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(+.f64 y x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 y x)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 y x)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 y x)
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 y x)
(fabs.f64 (+.f64 x y))
(+.f64 y x)
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 y x)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 y x)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(+.f64 (+.f64 y x) #s(literal 0 binary64))
(hypot.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 y (+.f64 x y))))
(+.f64 y x)
(hypot.f64 (sqrt.f64 (*.f64 y (+.f64 x y))) (sqrt.f64 (*.f64 x (+.f64 x y))))
(+.f64 y x)
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1/2 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 y x)
(fma.f64 x #s(literal 1 binary64) y)
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 y x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y x)

eval32.0ms (1%)

Memory
-4.7MiB live, 72.3MiB allocated
Compiler

Compiled 4 248 to 713 computations (83.2% saved)

prune125.0ms (4.1%)

Memory
6.9MiB live, 86.2MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3023305
Fresh000
Picked011
Done000
Total3024306
Accuracy
100.0%
Counts
306 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
96.7%
(*.f64 (+.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
53.6%
(*.f64 (+.f64 x y) y)
61.7%
(*.f64 (+.f64 x y) x)
Compiler

Compiled 36 to 20 computations (44.4% saved)

simplify151.0ms (4.9%)

Memory
-8.9MiB live, 29.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(+.f64 x y)
cost-diff256
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
cost-diff256
(*.f64 (+.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) y)
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) x)
Rules
821×fma-define
665×cube-prod
517×distribute-lft-out
445×distribute-rgt-in
439×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
015199
134199
287198
3283184
4738184
51384184
62774184
74127184
85990184
96568184
106994184
117336184
127821184
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) x)
(+.f64 x y)
x
y
(*.f64 (+.f64 x y) y)
(+.f64 x y)
x
y
(*.f64 (+.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(+.f64 x y)
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
Outputs
(*.f64 (+.f64 x y) x)
(*.f64 x (+.f64 x y))
(+.f64 x y)
x
y
(*.f64 (+.f64 x y) y)
(*.f64 y (+.f64 x y))
(+.f64 x y)
x
y
(*.f64 (+.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (*.f64 y (+.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y))
(*.f64 (+.f64 x y) (+.f64 x y))
(+.f64 x y)
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 x y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)

localize51.0ms (1.7%)

Memory
1.1MiB live, 87.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy100.0%
(*.f64 (+.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
accuracy85.3%
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 x y) y)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 x y) x)
Samples
22.0ms255×0valid
0.0ms5exit
Compiler

Compiled 54 to 12 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (55% of total)
ival-add: 3.0ms (27.5% of total)
ival-div: 2.0ms (18.3% of total)
adjust: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (1.3%)

Memory
-19.0MiB live, 19.3MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x y) x)>
#<alt (*.f64 (+.f64 x y) y)>
#<alt (*.f64 (+.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x y))>
Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 x y))>
#<alt (*.f64 x (+.f64 x y))>
#<alt (*.f64 x (+.f64 x y))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x y))>
#<alt (*.f64 y (+.f64 x y))>
#<alt (*.f64 y (+.f64 x y))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #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 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 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 2 binary64) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))>
#<alt x>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt y>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt (+.f64 x y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x y) y)>
#<alt (/.f64 (+.f64 x y) y)>
#<alt (/.f64 (+.f64 x y) y)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
Calls

30 calls:

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

rewrite311.0ms (10.2%)

Memory
6.2MiB live, 125.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
933×prod-diff
726×log1p-expm1-u
726×expm1-log1p-u
537×fma-define
189×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015137
1224137
23297135
Stop Event
node limit
Counts
5 → 277
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) x)
(*.f64 (+.f64 x y) y)
(*.f64 (+.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
Outputs
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 x y))
(pow.f64 (*.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x x (*.f64 x y))
(fma.f64 x y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x y)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y) (-.f64 x y))
(pow.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x y))
(+.f64 (*.f64 y (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 y (/.f64 x y))))
(+.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (+.f64 x y)) (/.f64 x y)))
(+.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (/.f64 x y)) (+.f64 x y)))
(+.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 x y) (*.f64 y (+.f64 x y))))
(+.f64 (*.f64 (fma.f64 y (/.f64 x y) y) y) (*.f64 (fma.f64 y (/.f64 x y) y) x))
(+.f64 (*.f64 (*.f64 y (+.f64 x y)) (/.f64 x y)) (*.f64 y (+.f64 x y)))
(+.f64 (*.f64 (fma.f64 y (/.f64 x y) y) x) (*.f64 (fma.f64 y (/.f64 x y) y) y))
(+.f64 (*.f64 y (fma.f64 y (/.f64 x y) y)) (*.f64 x (fma.f64 y (/.f64 x y) y)))
(+.f64 (*.f64 (/.f64 x y) (*.f64 y (+.f64 x y))) (*.f64 y (+.f64 x y)))
(+.f64 (*.f64 x (fma.f64 y (/.f64 x y) y)) (*.f64 y (fma.f64 y (/.f64 x y) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y (+.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 y (+.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (fma.f64 y (/.f64 x y) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 y (/.f64 x y) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (/.f64 x y) y)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 y (/.f64 x y) y)) (-.f64 x y))
(pow.f64 (*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (/.f64 x y) y)) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (/.f64 x y) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (/.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y))))
(exp.f64 (+.f64 (log.f64 (*.f64 y (+.f64 x y))) (log1p.f64 (/.f64 x y))))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 y (+.f64 x y))) (log1p.f64 (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 y (/.f64 x y) y) (*.f64 y (fma.f64 y (/.f64 x y) y)))
(fma.f64 y (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 y (/.f64 x y))))
(fma.f64 y (+.f64 x y) (*.f64 (*.f64 y (+.f64 x y)) (/.f64 x y)))
(fma.f64 y (+.f64 x y) (*.f64 (*.f64 y (/.f64 x y)) (+.f64 x y)))
(fma.f64 y (+.f64 x y) (*.f64 (/.f64 x y) (*.f64 y (+.f64 x y))))
(fma.f64 y (fma.f64 y (/.f64 x y) y) (*.f64 x (fma.f64 y (/.f64 x y) y)))
(fma.f64 (+.f64 x y) y (*.f64 (+.f64 x y) (*.f64 y (/.f64 x y))))
(fma.f64 (+.f64 x y) y (*.f64 (*.f64 y (+.f64 x y)) (/.f64 x y)))
(fma.f64 (+.f64 x y) y (*.f64 (*.f64 y (/.f64 x y)) (+.f64 x y)))
(fma.f64 (+.f64 x y) y (*.f64 (/.f64 x y) (*.f64 y (+.f64 x y))))
(fma.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64) (*.f64 (+.f64 x y) (*.f64 y (/.f64 x y))))
(fma.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 x y)) (/.f64 x y)))
(fma.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 x y)) (+.f64 x y)))
(fma.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64) (*.f64 (/.f64 x y) (*.f64 y (+.f64 x y))))
(fma.f64 (*.f64 y (+.f64 x y)) (/.f64 x y) (*.f64 y (+.f64 x y)))
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(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) #s(literal 1 binary64))

simplify240.0ms (7.9%)

Memory
4.4MiB live, 239.0MiB allocated
Algorithm
egg-herbie
Rules
544×associate-*r/
309×cancel-sign-sub-inv
299×unswap-sqr
264×associate-*r*
241×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057512357
113079139
238389066
Stop Event
node limit
Counts
385 → 362
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 x y)
(*.f64 y (+.f64 x y))
(*.f64 y (+.f64 x y))
(*.f64 y (+.f64 x y))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #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 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #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 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 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 2 binary64) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
y
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 x y)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(/.f64 (+.f64 x y) y)
(/.f64 (+.f64 x y) y)
(/.f64 (+.f64 x y) y)
#s(literal 1 binary64)
#s(literal 1 binary64)
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 x y))
(pow.f64 (*.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x x (*.f64 x y))
(fma.f64 x y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x y)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y) (-.f64 x y))
(pow.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x y))
(+.f64 (*.f64 y (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 y (/.f64 x y))))
(+.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (+.f64 x y)) (/.f64 x y)))
(+.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (/.f64 x y)) (+.f64 x y)))
(+.f64 (*.f64 y (+.f64 x y)) (*.f64 (/.f64 x y) (*.f64 y (+.f64 x y))))
(+.f64 (*.f64 (fma.f64 y (/.f64 x y) y) y) (*.f64 (fma.f64 y (/.f64 x y) y) x))
(+.f64 (*.f64 (*.f64 y (+.f64 x y)) (/.f64 x y)) (*.f64 y (+.f64 x y)))
(+.f64 (*.f64 (fma.f64 y (/.f64 x y) y) x) (*.f64 (fma.f64 y (/.f64 x y) y) y))
(+.f64 (*.f64 y (fma.f64 y (/.f64 x y) y)) (*.f64 x (fma.f64 y (/.f64 x y) y)))
(+.f64 (*.f64 (/.f64 x y) (*.f64 y (+.f64 x y))) (*.f64 y (+.f64 x y)))
(+.f64 (*.f64 x (fma.f64 y (/.f64 x y) y)) (*.f64 y (fma.f64 y (/.f64 x y) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (fma.f64 y (/.f64 x y) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y (+.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(exp.f64 (log1p.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) #s(literal 1 binary64))
Outputs
(*.f64 x y)
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 x y))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 x y))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 x y))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (+.f64 x y))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x y)
(*.f64 y (+.f64 x y))
(*.f64 y (+.f64 x y))
(*.f64 y (+.f64 x y))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 x y))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 x y))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 x y))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 x y))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 x y))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 x y))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 2 binary64) (/.f64 y x)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 2 binary64) (/.f64 y x)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (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 2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (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 2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -2 binary64) (/.f64 x y))) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -2 binary64) (/.f64 x y))) y)))
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
y
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 x y)
y
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
#s(literal 1 binary64)
(/.f64 x y)
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(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(exp.f64 (log1p.f64 (/.f64 x y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(exp.f64 (*.f64 (log1p.f64 (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))

eval87.0ms (2.9%)

Memory
11.9MiB live, 168.4MiB allocated
Compiler

Compiled 9 215 to 1 339 computations (85.5% saved)

prune181.0ms (5.9%)

Memory
7.9MiB live, 226.9MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New6392641
Fresh000
Picked033
Done011
Total6396645
Accuracy
100.0%
Counts
645 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
96.7%
(*.f64 (+.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
53.6%
(*.f64 (+.f64 x y) y)
61.7%
(*.f64 (+.f64 x y) x)
54.2%
(*.f64 y y)
60.9%
(*.f64 x x)
Compiler

Compiled 46 to 26 computations (43.5% saved)

simplify9.0ms (0.3%)

Memory
-28.5MiB live, 11.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(*.f64 x x)
x
(*.f64 y y)
y

localize15.0ms (0.5%)

Memory
-7.4MiB live, 31.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x x)
Samples
9.0ms256×0valid
Compiler

Compiled 10 to 6 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (84.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
#<alt (*.f64 y y)>
Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #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 (pow.f64 y #s(literal 2 binary64))>
Calls

6 calls:

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

rewrite68.0ms (2.2%)

Memory
25.9MiB live, 64.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
362×associate-*r*
273×log1p-expm1-u
273×expm1-log1p-u
262×unpow-prod-down
261×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
18420
286120
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 y y)
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 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 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.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) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 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))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(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))))
(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 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))

simplify95.0ms (3.1%)

Memory
-12.9MiB live, 65.9MiB allocated
Algorithm
egg-herbie
Rules
662×prod-exp
614×div-sub
344×associate-+l-
304×associate-+r-
278×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01488589935870
12818589935852
27008589935830
325068589935830
460398589935830
Stop Event
node limit
Counts
80 → 64
Calls
Call 1
Inputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #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))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 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 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.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) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 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))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(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))))
(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 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))
Outputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #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))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 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 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.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) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 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))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 2 binary64))
(fabs.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 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)))
(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 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))

eval7.0ms (0.2%)

Memory
20.1MiB live, 20.1MiB allocated
Compiler

Compiled 600 to 176 computations (70.7% saved)

prune11.0ms (0.4%)

Memory
-0.3MiB live, 38.0MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New64064
Fresh000
Picked022
Done044
Total64670
Accuracy
100.0%
Counts
70 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
96.7%
(*.f64 (+.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
53.6%
(*.f64 (+.f64 x y) y)
61.7%
(*.f64 (+.f64 x y) x)
54.2%
(*.f64 y y)
60.9%
(*.f64 x x)
Compiler

Compiled 82 to 39 computations (52.4% saved)

regimes16.0ms (0.5%)

Memory
-25.3MiB live, 48.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 y y)
(*.f64 (+.f64 x y) x)
(*.f64 (+.f64 x y) y)
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
Calls

4 calls:

6.0ms
x
4.0ms
(+.f64 x y)
3.0ms
y
2.0ms
(*.f64 (+.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (+.f64 x y) (+.f64 x y))
100.0%1(+.f64 x y)
Compiler

Compiled 20 to 11 computations (45% saved)

regimes4.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 y y)
(*.f64 (+.f64 x y) x)
(*.f64 (+.f64 x y) y)
Outputs
(*.f64 x x)
(*.f64 (+.f64 x y) y)
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
89.0%2x
88.2%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 y y)
(*.f64 (+.f64 x y) x)
Outputs
(*.f64 x x)
(*.f64 y y)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
89.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x x)
Outputs
(*.f64 x x)
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
60.9%1y
60.9%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch12.0ms (0.4%)

Memory
-25.0MiB live, 18.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-5.393413102120374e-45
-6.658248640134381e-47
Samples
4.0ms112×0valid
Compiler

Compiled 110 to 72 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 1.0ms (71.1% of total)
ival-mult: 1.0ms (71.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0.2%)

Memory
18.2MiB live, 18.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
-5.393413102120374e-45
-6.658248640134381e-47
Samples
3.0ms112×0valid
Compiler

Compiled 96 to 65 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 1.0ms (75.5% of total)
ival-mult: 1.0ms (75.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify3.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
egg-herbie
Rules
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021129
123129
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 x #s(literal -4820814132776971/3213876088517980551083924184682325205044405987565585670602752 binary64)) (*.f64 x x) (*.f64 (+.f64 x y) y))
(if (<=.f64 x #s(literal -498150793720287/803469022129495137770981046170581301261101496891396417650688 binary64)) (*.f64 x x) (*.f64 y y))
(*.f64 x x)
Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 x #s(literal -4820814132776971/3213876088517980551083924184682325205044405987565585670602752 binary64)) (*.f64 x x) (*.f64 (+.f64 x y) y))
(if (<=.f64 x #s(literal -4820814132776971/3213876088517980551083924184682325205044405987565585670602752 binary64)) (*.f64 x x) (*.f64 y (+.f64 x y)))
(if (<=.f64 x #s(literal -498150793720287/803469022129495137770981046170581301261101496891396417650688 binary64)) (*.f64 x x) (*.f64 y y))
(*.f64 x x)

soundness2.0ms (0.1%)

Memory
-36.2MiB live, 2.2MiB allocated
Stop Event
done
Compiler

Compiled 34 to 13 computations (61.8% saved)

preprocess37.0ms (1.2%)

Memory
35.7MiB live, 112.3MiB allocated
Remove

(sort x y)

Compiler

Compiled 170 to 76 computations (55.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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