Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

Time bar (total: 3.3s)

analyze16.0ms (0.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (43.3% of total)
ival-div: 1.0ms (21.6% of total)
ival-add: 1.0ms (21.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample932.0ms (28.5%)

Results
626.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-mult: 120.0ms (48.8% of total)
ival-div: 57.0ms (23.2% of total)
ival-add: 55.0ms (22.4% of total)
const: 11.0ms (4.5% of total)
backward-pass: 2.0ms (0.8% of total)
Bogosity

preprocess116.0ms (3.5%)

Algorithm
egg-herbie
Rules
1366×fma-define
243×times-frac
164×fma-neg
152×unsub-neg
119×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024220
161204
2156196
3454196
41263196
52094196
63074196
73432196
83492196
93504196
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) (+.f64 y #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) #s(literal 1 binary64))))
(/.f64 (*.f64 y x) (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x (neg.f64 y)) (+.f64 y #s(literal 1 binary64)))
(*.f64 x (/.f64 (neg.f64 y) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (neg.f64 y)) (+.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) #s(literal 1 binary64))))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y x) (+.f64 x #s(literal 1 binary64)))
(*.f64 y (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 x #s(literal 1 binary64)))

explain110.0ms (3.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
380-0-(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
00-0-(*.f64 x y)
00-0-x
00-0-#s(literal 1 binary64)
00-0-y
00-0-(+.f64 y #s(literal 1 binary64))
Results
31.0ms512×0valid
Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (40% of total)
ival-div: 4.0ms (32% of total)
ival-add: 3.0ms (24% of total)
const: 1.0ms (8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
Rules
1-exp
*-commutative
associate-/l*
associate-*l/
associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01166
12166
22366
32566
42666
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
x
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
x
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)

localize32.0ms (1%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
Results
16.0ms256×0valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.7% of total)
ival-add: 2.0ms (31.7% of total)
ival-mult: 2.0ms (31.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))>
#<alt (/.f64 y (+.f64 y #s(literal 1 binary64)))>
#<alt (+.f64 y #s(literal 1 binary64))>
Outputs
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 x y) x))))>
#<alt (*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) x))) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (-.f64 (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) y))) y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
Calls

12 calls:

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

rewrite291.0ms (8.9%)

Algorithm
batch-egg-rewrite
Rules
646×log1p-expm1-u
646×expm1-log1p-u
617×unpow-prod-down
339×log-prod
227×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01157
113057
2176157
Stop Event
node limit
Counts
3 → 162
Calls
Call 1
Inputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (*.f64 x (neg.f64 y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 x y) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(pow.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))))
(exp.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y)))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 (cbrt.f64 y) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (pow.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -2 binary64)) y) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -2 binary64)) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 y))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 y)) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))

simplify156.0ms (4.8%)

Algorithm
egg-herbie
Rules
823×fma-define
428×associate-/l*
334×*-commutative
329×distribute-lft-in
298×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04565527
19595362
225645156
Stop Event
node limit
Counts
210 → 249
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 x y) x))))
(*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) x))) x))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(-.f64 (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))
(-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) y))) y)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y)))
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(pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 y))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 y)) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 y (+.f64 x (*.f64 x (neg.f64 y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 2 binary64))))
(*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 x y) x))))
(*.f64 y (fma.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))) x))
(*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) x))) x))))
(*.f64 y (+.f64 x (*.f64 y (fma.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) x)) (neg.f64 x)))))
(*.f64 y (fma.f64 y (fma.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)) (neg.f64 x)) x))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 x (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 x y))
(-.f64 (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))
(+.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x y))))
(-.f64 (-.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (-.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 x y) x) y))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 x (/.f64 (neg.f64 x) y))
(-.f64 x (/.f64 x y))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) y)))
(+.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) y))) y)))
(+.f64 x (neg.f64 (/.f64 (+.f64 x (neg.f64 (/.f64 (+.f64 x (/.f64 (neg.f64 x) y)) y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(*.f64 y (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))))
(*.f64 y (fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x (neg.f64 y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 x y) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(pow.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) x))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(exp.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y))) #s(literal 1/3 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y))) #s(literal 2 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(+.f64 y #s(literal 1 binary64))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)))
(+.f64 y #s(literal 1 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))
(+.f64 y #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 y #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(+.f64 y #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 y #s(literal 1 binary64))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(+.f64 y #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(+.f64 y #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 y #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(+.f64 y #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(+.f64 y #s(literal 1 binary64))
(exp.f64 (log1p.f64 y))
(+.f64 y #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 y)) #s(literal 3 binary64)))
(+.f64 y #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 y)) #s(literal 1/3 binary64)))
(+.f64 y #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 y)) #s(literal 2 binary64)))
(+.f64 y #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))

eval30.0ms (0.9%)

Compiler

Compiled 3416 to 852 computations (75.1% saved)

prune34.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2463249
Fresh000
Picked011
Done000
Total2464250
Accuracy
100.0%
Counts
250 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(-.f64 x (/.f64 x y))
100.0%
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
49.1%
(*.f64 x y)
53.2%
x
Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify35.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 x (/.f64 x y))
cost-diff0
(*.f64 x y)
Rules
337×fma-define
165×fma-neg
60×associate-*l*
37×associate-/l*
36×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01068
11468
22368
33568
45268
58468
613468
726268
863468
9101068
10113568
11116068
12117468
Stop Event
saturated
Calls
Call 1
Inputs
x
(*.f64 x y)
x
y
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
Outputs
x
(*.f64 x y)
x
y
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y

localize25.0ms (0.8%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 x (/.f64 x y))
accuracy100.0%
(*.f64 x y)
Results
18.0ms256×0valid
Compiler

Compiled 19 to 6 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (45.8% of total)
ival-div: 2.0ms (30.5% of total)
ival-sub: 1.0ms (15.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts
3 → 24
Calls
Call 1
Inputs
#<alt (*.f64 x y)>
#<alt (-.f64 x (/.f64 x y))>
#<alt (/.f64 x y)>
Outputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (/.f64 (-.f64 (*.f64 x y) x) y)>
#<alt (/.f64 (-.f64 (*.f64 x y) x) y)>
#<alt (/.f64 (-.f64 (*.f64 x y) x) y)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
Calls

18 calls:

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

rewrite238.0ms (7.3%)

Algorithm
batch-egg-rewrite
Rules
678×unpow-prod-down
676×log1p-expm1-u
676×expm1-log1p-u
536×prod-diff
344×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
112348
2181648
Stop Event
node limit
Counts
3 → 293
Calls
Call 1
Inputs
(*.f64 x y)
(-.f64 x (/.f64 x y))
(/.f64 x y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x 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)))
(+.f64 x (/.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) x (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 x y)) (+.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))
(+.f64 (/.f64 x (neg.f64 y)) x)
(+.f64 #s(literal 0 binary64) (-.f64 x (/.f64 x y)))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
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(fma.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) #s(literal 2 binary64)) (+.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 x y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) x (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 x y))) (fma.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 x y))) (+.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 (/.f64 x y))) x)
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) (sqrt.f64 (-.f64 x (/.f64 x y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) x (/.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) (sqrt.f64 (-.f64 x (/.f64 x y))) (fma.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) (sqrt.f64 (-.f64 x (/.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) (sqrt.f64 (-.f64 x (/.f64 x y))) (+.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) x (/.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) x (/.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))) (fma.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))) (+.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 x y) x)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x (neg.f64 y))) (cbrt.f64 (/.f64 x (neg.f64 y)))) (cbrt.f64 (/.f64 x (neg.f64 y))) x)
(fma.f64 (sqrt.f64 (/.f64 x (neg.f64 y))) (sqrt.f64 (/.f64 x (neg.f64 y))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) x (/.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (fma.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (+.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x 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 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.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 (cbrt.f64 (/.f64 x y)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (cbrt.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 x y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (neg.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)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))

simplify251.0ms (7.7%)

Algorithm
egg-herbie
Rules
809×times-frac
586×fma-neg
286×unswap-sqr
238×exp-prod
199×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070612973
1150910852
243019491
Stop Event
node limit
Counts
317 → 351
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (-.f64 (*.f64 x y) x) y)
(/.f64 (-.f64 (*.f64 x y) x) y)
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(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (neg.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)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 x (neg.f64 y))
(/.f64 (-.f64 (*.f64 x y) x) y)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(/.f64 (-.f64 (*.f64 x y) x) y)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(/.f64 (-.f64 (*.f64 x y) x) y)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(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)
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x 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)
(+.f64 x (/.f64 x (neg.f64 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 x (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) x (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (-.f64 x (/.f64 x y)) (+.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (neg.f64 y)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 #s(literal 0 binary64) (-.f64 x (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 y))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x (neg.f64 (cbrt.f64 y))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (/.f64 x (neg.f64 (cbrt.f64 y))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (-.f64 x (/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (fma.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) (-.f64 x (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(-.f64 x (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (-.f64 x (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(-.f64 x (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (fma.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) (-.f64 x (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))))
(-.f64 x (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 x (/.f64 x y))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x (neg.f64 (cbrt.f64 y))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (/.f64 x (neg.f64 (cbrt.f64 y))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
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(-.f64 x (/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
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(/.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)
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(/.f64 x y)

eval45.0ms (1.4%)

Compiler

Compiled 6603 to 916 computations (86.1% saved)

prune138.0ms (4.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3510351
Fresh000
Picked033
Done011
Total3514355
Accuracy
100.0%
Counts
355 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(-.f64 x (/.f64 x y))
100.0%
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
49.1%
(*.f64 x y)
53.2%
x
Compiler

Compiled 49 to 25 computations (49% saved)

regimes7.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 x y)
(-.f64 x (/.f64 x y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Outputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.3%)

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

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
62.3%4x
98.6%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
98.3%3y
Compiler

Compiled 3 to 2 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
x
Outputs
x
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
53.2%1x
53.2%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch63.0ms (1.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
47.0ms
0.01980956472568312
630789.2180655024
14.0ms
-35306402589654452.0
-3.079179324410084e-5
Results
51.0ms320×0valid
Compiler

Compiled 250 to 168 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (39.7% of total)
ival-div: 2.0ms (26.5% of total)
ival-add: 2.0ms (26.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.01980956472568312
630789.2180655024
14.0ms
-35306402589654452.0
-3.079179324410084e-5
Results
17.0ms320×0valid
Compiler

Compiled 214 to 150 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (43.7% of total)
ival-mult: 3.0ms (32.8% of total)
ival-add: 2.0ms (21.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026140
142140
249140
355140
460140
562140
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x
Outputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x

soundness635.0ms (19.4%)

Rules
1366×fma-define
823×fma-define
428×associate-/l*
334×*-commutative
329×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024220
161204
2156196
3454196
41263196
52094196
63074196
73432196
83492196
93504196
04565527
19595362
225645156
Stop Event
done
node limit
saturated
Compiler

Compiled 76 to 35 computations (53.9% saved)

preprocess41.0ms (1.3%)

Compiler

Compiled 176 to 82 computations (53.4% saved)

end0.0ms (0%)

Profiling

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