Examples.Basics.BasicTests:f1 from sbv-4.4

Time bar (total: 4.7s)

analyze0.0ms (0%)

Algorithm
1×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 10 to 6 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.2s (26.3%)

Results
739.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-mult: 64.0ms (35.5% of total)
ival-add: 59.0ms (32.7% of total)
ival-sub: 47.0ms (26.1% of total)
const: 7.0ms (3.9% of total)
backward-pass: 3.0ms (1.7% of total)
Bogosity

preprocess206.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
969×distribute-lft-in
884×distribute-rgt-in
825×fma-define
459×distribute-lft-out
443×distribute-lft-neg-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024241
155217
2175217
3614217
41422217
53177217
63726217
74419217
85383217
95981217
106185217
116251217
126315217
136347217
147619217
Stop Event
1×node limit
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 x x) (*.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 (*.f64 x x) (*.f64 y y))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y)))
(*.f64 (-.f64 y x) (neg.f64 (-.f64 (neg.f64 x) y)))
(*.f64 (-.f64 y x) (+.f64 x y))
(-.f64 (*.f64 y y) (*.f64 x x))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))))
(*.f64 (-.f64 y x) (neg.f64 (-.f64 (neg.f64 x) y)))
(*.f64 (-.f64 y x) (+.f64 x y))
(-.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (+.f64 y x) (-.f64 y x))
(*.f64 (-.f64 y x) (neg.f64 (-.f64 (neg.f64 x) y)))
(*.f64 (-.f64 y x) (+.f64 x y))
(-.f64 (*.f64 y y) (*.f64 x x))
Symmetry

(abs x)

(abs y)

explain51.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (+.f64 x y) (-.f64 x y))
00-0-(+.f64 x y)
00-0-(-.f64 x y)
00-0-y
Results
33.0ms512×0valid
Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 6.0ms (44.9% of total)
ival-mult: 4.0ms (29.9% of total)
ival-add: 3.0ms (22.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize195.0ms (4.2%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(*.f64 (-.f64 x y) (+.f64 x y))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 (-.f64 x y) (+.f64 x y))
Rules
2341×fmm-def
1530×associate-+r+
900×distribute-lft-in
842×distribute-rgt-in
587×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01065
12165
24965
311165
424065
556165
6119065
7234965
8297665
9323665
10329365
11333165
12333365
13333365
14333565
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
Outputs
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 x y)
x
y
(+.f64 x y)
Results
14.0ms256×0valid
Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (37.3% of total)
ival-mult: 2.0ms (37.3% of total)
ival-add: 1.0ms (18.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series174.0ms (3.7%)

Counts
3 → 63
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 x y) (+.f64 x y))>
#<alt (+.f64 x y)>
#<alt (-.f64 x y)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))))>
#<alt (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 -1 binary64) (/.f64 y x)) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #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 -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 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 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.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 -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.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 -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) y)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) y)) #s(literal 1 binary64)))>
#<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))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
Calls

18 calls:

TimeVariablePointExpression
169.0ms
x
@0
(+ x y)
1.0ms
x
@-inf
(* (- x y) (+ x y))
1.0ms
x
@inf
(* (- x y) (+ x y))
0.0ms
y
@inf
(* (- x y) (+ x y))
0.0ms
x
@0
(* (- x y) (+ x y))

rewrite257.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
779×prod-diff
712×log1p-expm1-u
712×expm1-log1p-u
344×fma-define
322×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01057
112751
2197951
Stop Event
1×node limit
Counts
3 → 319
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (+.f64 x y))
(+.f64 x y)
(-.f64 x y)
Outputs
(+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 2 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) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) (neg.f64 y)))
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 (neg.f64 y) (+.f64 x y)))
(+.f64 (*.f64 (*.f64 x (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (*.f64 y (-.f64 x y)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.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 (fma.f64 x x (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 y (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 y (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 y (sqrt.f64 y)))))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.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 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 y (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 y (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 y (sqrt.f64 y)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (neg.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.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 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (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)))
(log.f64 (exp.f64 (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(exp.f64 (log.f64 (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(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)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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 (neg.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y) (+.f64 (neg.f64 y) y))
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (neg.f64 y) y))

simplify445.0ms (9.5%)

Algorithm
1×egg-herbie
Rules
522×fmm-def
442×prod-exp
365×associate-*r*
335×associate-*l*
296×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073414344
1187311043
2701711013
Stop Event
1×node limit
Counts
382 → 418
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #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 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.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 -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.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 -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) y)) #s(literal 1 binary64)))
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 #s(literal -1 binary64) y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 2 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) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) (neg.f64 y)))
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 (neg.f64 y) (+.f64 x y)))
(+.f64 (*.f64 (*.f64 x (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (*.f64 y (-.f64 x y)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 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) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.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)
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 x y) (+.f64 (neg.f64 y) y))
(+.f64 (-.f64 x y) (fma.f64 #s(literal -1 binary64) y y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y))
(+.f64 (neg.f64 y) x)
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x y))) (cbrt.f64 (exp.f64 (-.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.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 x y) (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 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.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 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.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 (fma.f64 y (+.f64 x y) (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 x y) (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 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.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 x y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (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)))
(log.f64 (exp.f64 (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(exp.f64 (log.f64 (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(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)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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 (neg.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y) (+.f64 (neg.f64 y) y))
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (neg.f64 y) y))
Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) y))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) y))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (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 -1 binary64) (/.f64 y x)) (/.f64 y x))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 (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 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.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 -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.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 -1 binary64) (*.f64 #s(literal 0 binary64) y) (/.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 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 0 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y))) (/.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 -1 binary64) (*.f64 #s(literal 0 binary64) y) (/.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 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 0 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64)) x)))
(pow.f64 x #s(literal 2 binary64))
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(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 x y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(-.f64 x y)
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(-.f64 x y)
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 x y)
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(-.f64 x y)
(pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (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 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (-.f64 x y))
(log.f64 (exp.f64 (-.f64 x y)))
(-.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(-.f64 x y)
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(-.f64 x y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (exp.f64 x)))
(-.f64 x y)
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 x)))
(-.f64 x y)
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(-.f64 x y)
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(-.f64 x y)
(exp.f64 (log.f64 (-.f64 x y)))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x y))) #s(literal 3 binary64)))
(-.f64 x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 x y))) #s(literal 1/3 binary64)))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)))
(-.f64 x y)
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(-.f64 x y)
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(-.f64 x y)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(-.f64 x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) x)
(-.f64 x y)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(-.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(-.f64 x y)
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.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 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 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)))))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 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)))))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(fma.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 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 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)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x)))
(fma.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 (neg.f64 y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x)))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(-.f64 x y)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) x)
(-.f64 x y)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(-.f64 x y)
(fma.f64 #s(literal -1 binary64) y x)
(-.f64 x y)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(-.f64 x y)
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (neg.f64 y) y))
(fma.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)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 0 binary64))

eval144.0ms (3.1%)

Compiler

Compiled 7553 to 1101 computations (85.4% saved)

prune52.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4153418
Fresh000
Picked011
Done000
Total4154419
Accuracy
100.0%
Counts
419 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (-.f64 x y) (+.f64 x y))
▶67.8%
(*.f64 (-.f64 x y) y)
▶57.8%
(*.f64 (-.f64 x y) x)
▶56.8%
(*.f64 (neg.f64 y) (+.f64 x y))
Compiler

Compiled 31 to 18 computations (41.9% saved)

localize76.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
✓cost-diff0
(*.f64 (-.f64 x y) y)
cost-diff0
(-.f64 x y)
✓cost-diff0
(*.f64 (-.f64 x y) x)
cost-diff0
(+.f64 x y)
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 (neg.f64 y) (+.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)
accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(*.f64 (neg.f64 y) (+.f64 x y))
Rules
203×fmm-def
179×fma-define
45×distribute-lft-in
41×distribute-rgt-in
39×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014141
131141
271141
3144141
4241141
5416141
6566141
7843141
8930141
9937141
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (neg.f64 y) (+.f64 x y))
(neg.f64 y)
y
(+.f64 x y)
x
(*.f64 (-.f64 x y) x)
(-.f64 x y)
x
y
(*.f64 (-.f64 x y) y)
(-.f64 x y)
x
y
Outputs
(*.f64 (neg.f64 y) (+.f64 x y))
(*.f64 (neg.f64 y) (+.f64 y x))
(*.f64 y (neg.f64 (+.f64 y x)))
(*.f64 y (-.f64 (neg.f64 y) x))
(neg.f64 y)
y
(+.f64 x y)
(+.f64 y x)
x
(*.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
Results
28.0ms256×0valid
Compiler

Compiled 36 to 9 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41% of total)
ival-neg: 3.0ms (24.6% of total)
ival-sub: 2.0ms (16.4% of total)
ival-add: 2.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
4 → 84
Calls
Call 1
Inputs
#<alt (*.f64 (neg.f64 y) (+.f64 x y))>
#<alt (neg.f64 y)>
#<alt (*.f64 (-.f64 x y) x)>
#<alt (*.f64 (-.f64 x y) y)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.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 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))>
#<alt (*.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 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))>
#<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 -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.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 (pow.f64 y #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.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 (pow.f64 y #s(literal 2 binary64)) x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
Calls

21 calls:

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

rewrite122.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
631×unpow-prod-down
618×log1p-expm1-u
618×expm1-log1p-u
323×log-prod
218×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01482
119170
2302070
Stop Event
1×node limit
Counts
4 → 284
Calls
Call 1
Inputs
(*.f64 (neg.f64 y) (+.f64 x y))
(neg.f64 y)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) y)
Outputs
(+.f64 (*.f64 y (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 y x)))
(+.f64 (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) y))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))
(-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 y x)))
(-.f64 (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 y x)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y x) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 y (+.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 y (+.f64 y x)))
(/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) (+.f64 y x))
(/.f64 (*.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (*.f64 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 y (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 y x))) #s(literal 2 binary64))
(neg.f64 (*.f64 y (+.f64 y x)))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 y x)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (exp.f64 (*.f64 y x))))
(log.f64 (/.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (exp.f64 (*.f64 y x))))
(log.f64 (/.f64 (exp.f64 (*.f64 y x)) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 y (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 y x)))) #s(literal 2 binary64)))
(fma.f64 y y (*.f64 y x))
(fma.f64 y y (*.f64 (neg.f64 x) y))
(fma.f64 y x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (+.f64 y x) (fma.f64 y x (*.f64 y x)))
(fma.f64 y (neg.f64 (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 y (-.f64 y x) (fma.f64 y x (*.f64 y x)))
(fma.f64 x y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (+.f64 y x)) #s(literal 1 binary64) (fma.f64 y x (*.f64 y x)))
(fma.f64 (+.f64 y x) y (fma.f64 y x (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y x)) y) (fma.f64 y x (*.f64 y x)))
(fma.f64 (cbrt.f64 (*.f64 y (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 y x))) #s(literal 2 binary64)) (fma.f64 y x (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 y x))) (fma.f64 y x (*.f64 y x)))
(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) (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (*.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) y) (fma.f64 y x (*.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 y x))) (sqrt.f64 (*.f64 y (+.f64 y x))) (fma.f64 y x (*.f64 y x)))
(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) (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 (neg.f64 x) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)) (pow.f64 y #s(literal 2 binary64)))
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(fma.f64 #s(literal -1 binary64) (*.f64 y (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)) (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 y x))
(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 (neg.f64 x) y))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) y))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (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 y (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 (*.f64 (+.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y x (*.f64 y x)))
(fma.f64 (*.f64 (+.f64 y x) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x (*.f64 y x)))
(fma.f64 (*.f64 (+.f64 y x) #s(literal -1 binary64)) y (fma.f64 y x (*.f64 y x)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 x) y))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (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)))

simplify239.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
525×fmm-def
494×cancel-sign-sub-inv
362×associate-*l*
336×associate-*r*
335×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046310303
110269593
236819235
Stop Event
1×node limit
Counts
368 → 278
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.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 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.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 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.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 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) 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 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(+.f64 (*.f64 y (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 y x)))
(+.f64 (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) y))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))
(-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 y x)))
(-.f64 (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 y x)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y x) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 y (+.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 y (+.f64 y x)))
(/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y) (+.f64 y x))
(/.f64 (*.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (*.f64 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 y (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 y x))) #s(literal 2 binary64))
(neg.f64 (*.f64 y (+.f64 y x)))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 y x)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (exp.f64 (*.f64 y x))))
(log.f64 (/.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (exp.f64 (*.f64 y x))))
(log.f64 (/.f64 (exp.f64 (*.f64 y x)) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 y (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 y x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 y x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 y x)))) #s(literal 2 binary64)))
(fma.f64 y y (*.f64 y x))
(fma.f64 y y (*.f64 (neg.f64 x) y))
(fma.f64 y x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (+.f64 y x) (fma.f64 y x (*.f64 y x)))
(fma.f64 y (neg.f64 (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 y (-.f64 y x) (fma.f64 y x (*.f64 y x)))
(fma.f64 x y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (+.f64 y x)) #s(literal 1 binary64) (fma.f64 y x (*.f64 y x)))
(fma.f64 (+.f64 y x) y (fma.f64 y x (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y x)) y) (fma.f64 y x (*.f64 y x)))
(fma.f64 (cbrt.f64 (*.f64 y (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 y x))) #s(literal 2 binary64)) (fma.f64 y x (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 y x))) (fma.f64 y x (*.f64 y x)))
(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) (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (*.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) y) (fma.f64 y x (*.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 y x))) (sqrt.f64 (*.f64 y (+.f64 y x))) (fma.f64 y x (*.f64 y x)))
(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) (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 (neg.f64 x) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
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(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)) (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 y x))
(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 (neg.f64 x) y))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) y))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (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 y (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)) (fma.f64 y x (*.f64 y x)))
(fma.f64 (*.f64 (+.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y x (*.f64 y x)))
(fma.f64 (*.f64 (+.f64 y x) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x (*.f64 y x)))
(fma.f64 (*.f64 (+.f64 y x) #s(literal -1 binary64)) y (fma.f64 y x (*.f64 y x)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 x) y))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (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)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (neg.f64 (+.f64 x y)))
(*.f64 y (-.f64 (neg.f64 y) x))
(*.f64 y (-.f64 (neg.f64 x) y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (neg.f64 (+.f64 x y)))
(*.f64 y (-.f64 (neg.f64 y) x))
(*.f64 y (-.f64 (neg.f64 x) y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (neg.f64 (+.f64 x y)))
(*.f64 y (-.f64 (neg.f64 y) x))
(*.f64 y (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 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 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 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 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 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 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 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 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 y (neg.f64 (+.f64 x y)))
(*.f64 y (-.f64 (neg.f64 y) x))
(*.f64 y (-.f64 (neg.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 y (neg.f64 (+.f64 x y)))
(*.f64 y (-.f64 (neg.f64 y) x))
(*.f64 y (-.f64 (neg.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 y (neg.f64 (+.f64 x y)))
(*.f64 y (-.f64 (neg.f64 y) x))
(*.f64 y (-.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.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 #s(literal -1 binary64) (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (-.f64 (neg.f64 y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.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 #s(literal -1 binary64) (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (-.f64 (neg.f64 y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.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 #s(literal -1 binary64) (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (-.f64 (neg.f64 y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (-.f64 (neg.f64 y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (-.f64 (neg.f64 y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (-.f64 (neg.f64 y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 x (neg.f64 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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) x))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y))
(-.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y))
(-.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.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 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 y (/.f64 (neg.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 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 y (/.f64 (neg.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 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 y (/.f64 (neg.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 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 y (/.f64 (neg.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 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 y (/.f64 (neg.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 (pow.f64 y #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 y (/.f64 (neg.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 (*.f64 #s(literal -1 binary64) y)))
(-.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(-.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(-.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (-.f64 x y))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
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(fma.f64 y (+.f64 x y) (fma.f64 y x (*.f64 x y)))
(fma.f64 y (+.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 (*.f64 (+.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y x (*.f64 y x)))
(fma.f64 y (+.f64 x y) (fma.f64 y x (*.f64 x y)))
(fma.f64 y (+.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 (*.f64 (+.f64 y x) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x (*.f64 y x)))
(fma.f64 y (+.f64 x y) (fma.f64 y x (*.f64 x y)))
(fma.f64 y (+.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 (*.f64 (+.f64 y x) #s(literal -1 binary64)) y (fma.f64 y x (*.f64 y x)))
(-.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (-.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 x) y))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))
(*.f64 y (-.f64 y x))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))
(*.f64 y (-.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 x y))

eval93.0ms (2%)

Compiler

Compiled 8322 to 1403 computations (83.1% saved)

prune86.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New6422644
Fresh000
Picked213
Done011
Total6444648
Accuracy
100.0%
Counts
648 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (-.f64 x y) (+.f64 x y))
✓57.8%
(*.f64 (-.f64 x y) x)
▶57.2%
(*.f64 (neg.f64 y) y)
▶17.8%
(*.f64 x y)
Compiler

Compiled 27 to 16 computations (40.7% saved)

localize74.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 (neg.f64 y) y)
✓cost-diff0
(*.f64 x y)
✓accuracy100.0%
(*.f64 (neg.f64 y) y)
accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(*.f64 x y)
Rules
20×fma-define
7×distribute-lft-in
6×sub-neg
3×mul0-rgt
3×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
11950
22450
33250
44250
55250
66950
78850
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x y)
x
y
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
Outputs
(*.f64 x y)
x
y
(*.f64 (neg.f64 y) y)
(*.f64 y (neg.f64 y))
(neg.f64 y)
y
Results
15.0ms256×0valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (77.9% of total)
ival-neg: 1.0ms (15.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
2 → 12
Calls
Call 1
Inputs
#<alt (*.f64 x y)>
#<alt (*.f64 (neg.f64 y) y)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
Calls

9 calls:

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

rewrite68.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
359×unpow-prod-down
330×log1p-expm1-u
330×expm1-log1p-u
316×add-exp-log
305×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01130
110923
2130123
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 (neg.f64 y) y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x y)))) (sqrt.f64 (log.f64 (*.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (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)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.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 0 binary64) (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))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 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 2 binary64)) #s(literal 1 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 (cbrt.f64 (pow.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))))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(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)))

simplify203.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
830×prod-exp
680×fma-define
349×exp-sum
289×div-sub
264×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01264294968317
12094294968317
24384294968317
314514294968317
435904294968317
567424294968317
Stop Event
1×node limit
Counts
59 → 54
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x y)))) (sqrt.f64 (log.f64 (*.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (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)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.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 0 binary64) (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))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 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 2 binary64)) #s(literal 1 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 (cbrt.f64 (pow.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))))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(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
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 y x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 y x)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 y x)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 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 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y x)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 y x)
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(*.f64 y x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x y)))) (sqrt.f64 (log.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y x)))) (sqrt.f64 (log.f64 (*.f64 y x))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 y x)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 y x)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 y x)
(expm1.f64 (log1p.f64 (*.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 (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)
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (log.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 y #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 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.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))
(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 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 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 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 (cbrt.f64 (pow.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))))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(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)))

eval177.0ms (3.8%)

Compiler

Compiled 1097 to 370 computations (66.3% saved)

prune18.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1280128
Fresh000
Picked022
Done022
Total1284132
Accuracy
100.0%
Counts
132 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (-.f64 x y) (+.f64 x y))
✓57.8%
(*.f64 (-.f64 x y) x)
✓57.2%
(*.f64 (neg.f64 y) y)
✓17.8%
(*.f64 x y)
Compiler

Compiled 66 to 28 computations (57.6% saved)

regimes10.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 (neg.f64 y) y)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) y)
(*.f64 (neg.f64 y) (+.f64 x y))
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 x y))
Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
Calls

3 calls:

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

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 (neg.f64 y) y)
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) y)
(*.f64 (neg.f64 y) (+.f64 x y))
Outputs
(*.f64 (-.f64 x y) x)
(*.f64 (-.f64 x y) y)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
84.6%2x
87.7%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes56.0ms (1.2%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 (neg.f64 y) y)
(*.f64 (-.f64 x y) x)
Outputs
(*.f64 (neg.f64 y) y)
(*.f64 (-.f64 x y) x)
Calls

2 calls:

54.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
84.5%2x
77.7%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 (neg.f64 y) y)
Outputs
(*.f64 (neg.f64 y) y)
(*.f64 x y)
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
57.2%1y
65.3%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
17.8%1y
17.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch11.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.0619698065151051e-7
0.00024389561345008844
Results
6.0ms128×0valid
Compiler

Compiled 142 to 89 computations (37.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (38.5% of total)
ival-add: 1.0ms (38.5% of total)
ival-mult: 1.0ms (38.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
3.370766688219492e+45
1.3834766981385137e+46
Results
4.0ms96×0valid
Compiler

Compiled 104 to 69 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (53.5% of total)
ival-add: 1.0ms (53.5% of total)
ival-mult: 1.0ms (53.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
7.576751824074224e+198
7.464692440458624e+201
Results
6.0ms128×0valid
Compiler

Compiled 118 to 81 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (39% of total)
ival-add: 1.0ms (39% of total)
ival-mult: 1.0ms (39% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
7×*-commutative
4×+-commutative
3×sub-neg
2×neg-sub0
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028193
141193
246193
349193
450193
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y #s(literal 6640827866535439/73786976294838206464 binary64)) (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))
(if (<=.f64 x #s(literal 8499999999999999561393281737080860556499353600 binary64)) (*.f64 (neg.f64 y) y) (*.f64 (-.f64 x y) x))
(if (<=.f64 x #s(literal 20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704 binary64)) (*.f64 (neg.f64 y) y) (*.f64 x y))
(*.f64 x y)
Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y #s(literal 6640827866535439/73786976294838206464 binary64)) (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))
(if (<=.f64 y #s(literal 6640827866535439/73786976294838206464 binary64)) (*.f64 x (-.f64 x y)) (*.f64 y (-.f64 x y)))
(if (<=.f64 x #s(literal 8499999999999999561393281737080860556499353600 binary64)) (*.f64 (neg.f64 y) y) (*.f64 (-.f64 x y) x))
(if (<=.f64 x #s(literal 8499999999999999561393281737080860556499353600 binary64)) (*.f64 y (neg.f64 y)) (*.f64 x (-.f64 x y)))
(if (<=.f64 x #s(literal 20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704 binary64)) (*.f64 (neg.f64 y) y) (*.f64 x y))
(if (<=.f64 x #s(literal 20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704 binary64)) (*.f64 y (neg.f64 y)) (*.f64 x y))
(*.f64 x y)

soundness601.0ms (12.8%)

Rules
969×distribute-lft-in
884×distribute-rgt-in
825×fma-define
522×fmm-def
459×distribute-lft-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073414344
1187311043
2701711013
024241
155217
2175217
3614217
41422217
53177217
63726217
74419217
85383217
95981217
106185217
116251217
126315217
136347217
147619217
Stop Event
1×done
1×node limit
1×node limit
Compiler

Compiled 95 to 36 computations (62.1% saved)

preprocess42.0ms (0.9%)

Remove

(abs y)

(abs x)

Compiler

Compiled 226 to 108 computations (52.2% saved)

end0.0ms (0%)

Profiling

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