Numeric.SpecFunctions:choose from math-functions-0.1.5.2

Time bar (total: 6.0s)

analyze43.0ms (0.7%)

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
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 5.0ms (40.8% of total)
ival-mult: 5.0ms (40.8% of total)
ival-div: 2.0ms (16.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample975.0ms (16.2%)

Results
549.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 237.0ms
ival-add: 82.0ms (34.7% of total)
ival-div: 75.0ms (31.7% of total)
ival-mult: 69.0ms (29.2% of total)
const: 8.0ms (3.4% of total)
backward-pass: 3.0ms (1.3% of total)
Bogosity

preprocess193.0ms (3.2%)

Algorithm
egg-herbie
Rules
1372×fma-define
630×fma-neg
620×div-sub
383×times-frac
365×unsub-neg
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
036369
1117353
2318345
31015318
42926314
56081308
67171308
77269308
87365308
97491302
107705302
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 (neg.f64 x) (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 (neg.f64 y) z)) z)
(/.f64 (*.f64 x (+.f64 y (neg.f64 z))) (neg.f64 z))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 y z)) z))
(neg.f64 (/.f64 (*.f64 x (+.f64 (neg.f64 y) z)) z))
(neg.f64 (/.f64 (*.f64 x (+.f64 y (neg.f64 z))) (neg.f64 z)))
(/.f64 (*.f64 y (+.f64 x z)) z)
(/.f64 (*.f64 z (+.f64 y x)) x)
(/.f64 (*.f64 x (+.f64 z y)) y)
Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 (neg.f64 x) (+.f64 y z)) z)
(*.f64 (neg.f64 x) (/.f64 (+.f64 y z) z))
(*.f64 (+.f64 y z) (/.f64 (neg.f64 x) z))
(*.f64 x (/.f64 (+.f64 y z) (neg.f64 z)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (*.f64 x (+.f64 (neg.f64 y) z)) z)
(/.f64 (*.f64 x (+.f64 z (neg.f64 y))) z)
(*.f64 (-.f64 z y) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 z y) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 x (+.f64 y (neg.f64 z))) (neg.f64 z))
(/.f64 (*.f64 x (+.f64 z (neg.f64 y))) z)
(*.f64 (-.f64 z y) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 z y) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 y z)) z))
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(neg.f64 (/.f64 (*.f64 x (+.f64 (neg.f64 y) z)) z))
(/.f64 (*.f64 x (+.f64 z (neg.f64 y))) (neg.f64 z))
(*.f64 (neg.f64 x) (/.f64 (-.f64 z y) z))
(*.f64 (-.f64 y z) (/.f64 x z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(neg.f64 (/.f64 (*.f64 x (+.f64 y (neg.f64 z))) (neg.f64 z)))
(/.f64 (*.f64 x (+.f64 z (neg.f64 y))) (neg.f64 z))
(*.f64 (neg.f64 x) (/.f64 (-.f64 z y) z))
(*.f64 (-.f64 y z) (/.f64 x z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (*.f64 y (+.f64 x z)) z)
(*.f64 y (/.f64 (+.f64 x z) z))
(*.f64 y (-.f64 (/.f64 x z) #s(literal -1 binary64)))
(*.f64 y (+.f64 (/.f64 x z) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) y)
(/.f64 (*.f64 z (+.f64 y x)) x)
(*.f64 z (/.f64 (+.f64 x y) x))
(*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(/.f64 (*.f64 x (+.f64 z y)) y)
(/.f64 (*.f64 x (+.f64 y z)) y)
(*.f64 (+.f64 y z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 y z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 z (/.f64 x y) x)
(fma.f64 x (/.f64 z y) x)
Symmetry

(negabs x)

explain58.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
300-1(2.6225136893035045e-191 6.136708546701208e-162 8.032564615136617e-120)(/.f64 (*.f64 x (+.f64 y z)) z)
00-0-x
00-0-(*.f64 x (+.f64 y z))
00-0-z
00-0-(+.f64 y z)
00-0-y
Results
38.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (32.4% of total)
ival-mult: 4.0ms (32.4% of total)
ival-add: 3.0ms (24.3% of total)
const: 1.0ms (8.1% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 17 computations (54.1% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
89.2%
(/.f64 (*.f64 x (+.f64 y z)) z)
84.8%
(*.f64 (+.f64 y z) (/.f64 x z))
94.7%
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
Compiler

Compiled 30 to 19 computations (36.7% saved)

localize128.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(+.f64 y z)
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 (/.f64 y z) #s(literal -1 binary64))
accuracy100.0%
(*.f64 x (+.f64 y z))
accuracy94.7%
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
accuracy89.3%
(/.f64 (*.f64 x (+.f64 y z)) z)
accuracy84.8%
(*.f64 (+.f64 y z) (/.f64 x z))
Rules
724×fma-define
600×distribute-frac-neg
542×times-frac
424×associate-/r*
331×distribute-frac-neg2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018214
135214
262211
383211
4131211
5169211
6366211
7903211
82444211
93636211
104117211
114891211
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
x
(-.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 y z)
y
z
#s(literal -1 binary64)
(*.f64 (+.f64 y z) (/.f64 x z))
(+.f64 y z)
y
z
(/.f64 x z)
x
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z
Outputs
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) x)
x
(-.f64 (/.f64 y z) #s(literal -1 binary64))
(+.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
y
z
#s(literal -1 binary64)
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) x)
(+.f64 y z)
y
z
(/.f64 x z)
x
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z
Results
38.0ms256×0valid
Compiler

Compiled 57 to 16 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 7.0ms (39.4% of total)
ival-mult: 6.0ms (33.8% of total)
ival-sub: 3.0ms (16.9% of total)
ival-add: 1.0ms (5.6% of total)
const: 1.0ms (5.6% of total)
backward-pass: 0.0ms (0% of total)

series31.0ms (0.5%)

Counts
8 → 162
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 y z) (/.f64 x z))>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (-.f64 (/.f64 y z) #s(literal -1 binary64))>
#<alt (/.f64 y z)>
#<alt (+.f64 y z)>
#<alt (/.f64 x z)>
Outputs
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 y z)>
#<alt (/.f64 (+.f64 y z) z)>
#<alt (/.f64 (+.f64 y z) z)>
#<alt (/.f64 (+.f64 y z) z)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt z>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt y>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
Calls

60 calls:

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

rewrite277.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
924×log1p-expm1-u
785×prod-diff
592×expm1-log1p-u
118×add-cube-cbrt
117×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018170
1274170
24001170
Stop Event
node limit
Counts
8 → 298
Calls
Call 1
Inputs
(*.f64 (+.f64 y z) (/.f64 x z))
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 x (+.f64 y z))
(-.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 y z)
(+.f64 y z)
(/.f64 x z)
Outputs
(+.f64 (*.f64 (/.f64 x z) y) (*.f64 (/.f64 x z) z))
(+.f64 (*.f64 (/.f64 x z) z) (*.f64 (/.f64 x z) y))
(+.f64 (*.f64 y (/.f64 x z)) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 y (/.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y z) (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 (+.f64 y z) (/.f64 z x))
(/.f64 (*.f64 (+.f64 y z) x) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z x) (+.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 z x) (+.f64 y z)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 y z) (neg.f64 x)) (neg.f64 z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 z x) (fma.f64 y y (*.f64 z (-.f64 z y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (/.f64 z x) (-.f64 y z)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 (fma.f64 y y (*.f64 z (-.f64 z y))) z))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 z (-.f64 z y))) (/.f64 z x)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (fma.f64 y y (*.f64 z (-.f64 z y))) (neg.f64 z)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (*.f64 (-.f64 y z) z))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 y z) (/.f64 z x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 x)) (*.f64 (-.f64 y z) (neg.f64 z)))
(/.f64 (*.f64 x (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (fma.f64 y y (*.f64 z (-.f64 z y)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 z (-.f64 y z)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 z) (fma.f64 y y (*.f64 z (-.f64 z y)))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 z) (-.f64 y z)))
(/.f64 (neg.f64 (*.f64 (+.f64 y z) (neg.f64 x))) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 (*.f64 (+.f64 y z) x) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (/.f64 x z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 (*.f64 (/.f64 x z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 y z))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 x z)) (-.f64 y z))
(/.f64 (/.f64 (*.f64 (+.f64 y z) x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (+.f64 y z) x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (*.f64 (+.f64 y z) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y z) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y z) (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z x) (+.f64 y z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (+.f64 y z) x) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (+.f64 y z) (neg.f64 x)) z))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y z) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) (+.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y z) (/.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y z) (/.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y z) (/.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y z) (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 (+.f64 y z) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y z) (/.f64 x z))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x z) y) (*.f64 (/.f64 x z) z))
(+.f64 (*.f64 (/.f64 x z) z) (*.f64 (/.f64 x z) y))
(+.f64 (*.f64 y (/.f64 x z)) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 y (/.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y z) (/.f64 x z)))) #s(literal 1 binary64))
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 x (/.f64 (+.f64 y z) z))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y z)))
(*.f64 (/.f64 x z) (+.f64 y z))
(*.f64 (*.f64 (+.f64 y z) x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (+.f64 y z) (/.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (/.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 y z) (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 y z) (/.f64 x z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) (+.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y z)) (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 (+.f64 y z) z)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 y z) (/.f64 x z))) (sqrt.f64 (*.f64 (+.f64 y z) (/.f64 x z))))
(*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) (+.f64 y z)))
(*.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) (/.f64 x z)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) (/.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) z))
(*.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) (*.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (+.f64 y z) z)))
(*.f64 (*.f64 (+.f64 y z) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 y z) x))
(*.f64 (/.f64 (+.f64 y z) z) x)
(*.f64 (/.f64 (+.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (+.f64 y z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 (+.f64 y z) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (+.f64 y z) (sqrt.f64 z)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 y z) z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (+.f64 y z) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 y z) x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 (+.f64 y z) x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 y z) (/.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) (cbrt.f64 z)))
(*.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y z)))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)))
(pow.f64 (*.f64 (+.f64 y z) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y z) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y z) (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z x) (+.f64 y z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (+.f64 y z) x) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (+.f64 y z) (neg.f64 x)) z))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y z) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) (+.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y z) (/.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y z) (/.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y z) (/.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y z) (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 (+.f64 y z) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y z) (/.f64 x z))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 y z)) x)
(+.f64 (*.f64 (/.f64 y z) x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) #s(literal -1 binary64)))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(pow.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 y z)) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 y z)) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (*.f64 z x))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 z x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y z) x))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (-.f64 y z))
(/.f64 (*.f64 x (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 y z))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 (*.f64 y x) (*.f64 z x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z x) (*.f64 z x))) (-.f64 (*.f64 y x) (*.f64 z x)))
(pow.f64 (*.f64 (+.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y z) x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y z) x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y z) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y z) x)) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 z x))
(fma.f64 x y (*.f64 z x))
(+.f64 (/.f64 y z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) #s(literal -1 binary64)))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y z)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 y z)))
(*.f64 (+.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y z))
(*.f64 (cbrt.f64 (+.f64 y z)) (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y z)))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (+.f64 y z)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (-.f64 z y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (-.f64 z y))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 z (-.f64 z y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 y z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 z y))
(pow.f64 (+.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y z))))
(cbrt.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y z)))
(log1p.f64 (expm1.f64 (+.f64 y z)))
(exp.f64 (log.f64 (+.f64 y z)))
(exp.f64 (*.f64 (log.f64 (+.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))

simplify321.0ms (5.3%)

Algorithm
egg-herbie
Rules
624×cube-prod
593×exp-prod
513×fma-neg
494×associate-*r*
477×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061113251
1145112575
2608812575
Stop Event
node limit
Counts
460 → 357
Calls
Call 1
Inputs
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x y) z)
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(/.f64 (*.f64 x y) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x y) z)
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(/.f64 (*.f64 x y) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x y) z)
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(/.f64 (*.f64 x y) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
x
(+.f64 x (/.f64 (*.f64 x y) z))
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(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (-.f64 y z))
(/.f64 (*.f64 x (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 y z))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 (*.f64 y x) (*.f64 z x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z x) (*.f64 z x))) (-.f64 (*.f64 y x) (*.f64 z x)))
(pow.f64 (*.f64 (+.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y z) x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y z) x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y z) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y z) x)) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 z x))
(fma.f64 x y (*.f64 z x))
(+.f64 (/.f64 y z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) #s(literal -1 binary64)))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y z)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 y z)))
(*.f64 (+.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y z))
(*.f64 (cbrt.f64 (+.f64 y z)) (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y z)))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (+.f64 y z)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (-.f64 z y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (-.f64 z y))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 z (-.f64 z y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 y z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 z y))
(pow.f64 (+.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y z))))
(cbrt.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y z)))
(log1p.f64 (expm1.f64 (+.f64 y z)))
(exp.f64 (log.f64 (+.f64 y z)))
(exp.f64 (*.f64 (log.f64 (+.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (*.f64 x y) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x z)) (neg.f64 y))
(/.f64 (*.f64 x y) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(fma.f64 x (/.f64 y z) x)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 x (/.f64 y z) x)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
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(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(/.f64 y z)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 y z)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(*.f64 (+.f64 y z) #s(literal 1 binary64))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(*.f64 #s(literal 1 binary64) (+.f64 y z))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(*.f64 (cbrt.f64 (+.f64 y z)) (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (+.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (-.f64 z y)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (-.f64 z y))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 z (-.f64 z y)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 z y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(pow.f64 (+.f64 y z) #s(literal 1 binary64))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(pow.f64 (sqrt.f64 (+.f64 y z)) #s(literal 2 binary64))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(sqrt.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (+.f64 y z))
(log.f64 (exp.f64 (+.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(cbrt.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(expm1.f64 (log1p.f64 (+.f64 y z)))
(log1p.f64 (expm1.f64 (+.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(exp.f64 (log.f64 (+.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(exp.f64 (*.f64 (log.f64 (+.f64 y z)) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(fma.f64 #s(literal 1 binary64) y z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(fma.f64 #s(literal 1 binary64) z y)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) y)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) y)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(/.f64 x z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (/.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(/.f64 x z)
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x z)
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(/.f64 x z)
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 x z)
(neg.f64 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))
(/.f64 x z)
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x z))
(log.f64 (exp.f64 (/.f64 x z)))
(/.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(/.f64 x z)
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(/.f64 x z)
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 x z)
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (log.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(/.f64 x z)

eval158.0ms (2.6%)

Compiler

Compiled 5027 to 2043 computations (59.4% saved)

prune125.0ms (2.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3939402
Fresh000
Picked303
Done000
Total3969405
Accuracy
100.0%
Counts
405 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.7%
(/.f64 (+.f64 y z) (/.f64 z x))
49.5%
(/.f64 (*.f64 x y) z)
94.8%
(+.f64 x (/.f64 (*.f64 x y) z))
84.7%
(*.f64 (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) z) x))
40.6%
(*.f64 z (/.f64 x z))
50.6%
(*.f64 y (/.f64 x z))
89.1%
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
47.2%
(*.f64 x (/.f64 y z))
48.4%
x
Compiler

Compiled 160 to 100 computations (37.5% saved)

localize240.0ms (4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 y (/.f64 x z))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) z)
accuracy98.3%
(+.f64 (/.f64 x y) (/.f64 x z))
accuracy94.7%
(*.f64 y (/.f64 x z))
accuracy93.9%
(/.f64 (*.f64 x y) z)
accuracy89.2%
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
Rules
1698×fma-define
943×cube-prod
527×associate-/l/
453×*-commutative
405×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017276
131268
241268
351268
465268
566268
6134268
7398268
81714268
93400268
104349268
115143268
125402268
135838268
146447268
157268268
167648268
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 x y) z))
x
(/.f64 (*.f64 x y) z)
(*.f64 x y)
y
z
x
(*.f64 y (/.f64 x z))
y
(/.f64 x z)
x
z
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
y
(+.f64 (/.f64 x y) (/.f64 x z))
(/.f64 x y)
x
(/.f64 x z)
z
Outputs
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
x
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 x y)
y
z
x
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
y
(/.f64 x z)
x
z
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 x y)
x
y
z
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
y
(+.f64 (/.f64 x y) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 x y))
(/.f64 x y)
x
(/.f64 x z)
z
Results
38.0ms256×0valid
Compiler

Compiled 70 to 12 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 6.0ms (41.3% of total)
ival-mult: 6.0ms (41.3% of total)
ival-add: 3.0ms (20.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.3%)

Counts
5 → 93
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 y (/.f64 x z))>
#<alt (+.f64 (/.f64 x y) (/.f64 x z))>
#<alt (*.f64 x y)>
Outputs
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (/.f64 (*.f64 x y) z)) y)>
#<alt (/.f64 (+.f64 x (/.f64 (*.f64 x y) z)) y)>
#<alt (/.f64 (+.f64 x (/.f64 (*.f64 x y) z)) y)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 (+.f64 x (/.f64 (*.f64 x z) y)) z)>
#<alt (/.f64 (+.f64 x (/.f64 (*.f64 x z) y)) z)>
#<alt (/.f64 (+.f64 x (/.f64 (*.f64 x z) y)) z)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
Calls

42 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(/ (* x y) z)
1.0ms
x
@inf
(* y (+ (/ x y) (/ x z)))
1.0ms
x
@0
(* y (+ (/ x y) (/ x z)))
1.0ms
y
@0
(* y (+ (/ x y) (/ x z)))
1.0ms
y
@-inf
(* y (+ (/ x y) (/ x z)))

rewrite150.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
855×log1p-expm1-u
855×expm1-log1p-u
519×fma-define
259×fma-neg
202×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016128
1246128
23658128
Stop Event
node limit
Counts
5 → 277
Calls
Call 1
Inputs
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (*.f64 x y) z)
(*.f64 y (/.f64 x z))
(+.f64 (/.f64 x y) (/.f64 x z))
(*.f64 x y)
Outputs
(+.f64 (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x y)))
(+.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 (*.f64 y (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y (/.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y)) (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x z))))))
(/.f64 (fma.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y)) (neg.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (-.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x z))))
(/.f64 (*.f64 y (*.f64 x (+.f64 z y))) (*.f64 y z))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (-.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (*.f64 (*.f64 x (+.f64 z y)) y) (*.f64 y z))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) y) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) y) (-.f64 (/.f64 x y) (/.f64 x z)))
(pow.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (/.f64 x y) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 x y) (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 x y) (*.f64 y (/.f64 x z)))
(fma.f64 y (/.f64 x z) (*.f64 y (/.f64 x y)))
(fma.f64 x (/.f64 y z) (*.f64 y (/.f64 x y)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 y (/.f64 x z)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 x y) y (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) y (*.f64 y (/.f64 x y)))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y) (*.f64 y (/.f64 x z)))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 x y)))
(fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64) (*.f64 y (/.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)) (*.f64 y (/.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) y) (*.f64 y (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) y) (*.f64 y (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) z) (*.f64 y (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y (/.f64 x y)))
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (*.f64 y (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x z))) (*.f64 y (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x y)) (*.f64 y (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x z)) (*.f64 y (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)) (*.f64 y (/.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) y) (*.f64 y (/.f64 x z)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y) (*.f64 y (/.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (/.f64 (sqrt.f64 (*.f64 y x)) z) (*.f64 y (/.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y (/.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))) (*.f64 y (/.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)) (*.f64 y (/.f64 x z)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)) (*.f64 y (/.f64 x y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)) (*.f64 y (/.f64 x y)))
(fma.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x) (*.f64 y (/.f64 x y)))
(fma.f64 (*.f64 y (/.f64 x y)) #s(literal 1 binary64) (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 y z) x (*.f64 y (/.f64 x y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) (cbrt.f64 (*.f64 y (/.f64 x y)))) (cbrt.f64 (*.f64 y (/.f64 x y))) (*.f64 y (/.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) (sqrt.f64 (*.f64 y (/.f64 x y))) (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (cbrt.f64 z)) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 y x) (sqrt.f64 z)) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) z) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 x z))) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y x)) z) (*.f64 y (/.f64 x y)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)) (*.f64 y (/.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x y))) (*.f64 y (/.f64 x z)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) (*.f64 y (/.f64 x z)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) (*.f64 y (/.f64 x z)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (*.f64 y (/.f64 x z)))
(fma.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (/.f64 x z)))
(fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (/.f64 x z)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 y (/.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (*.f64 y (/.f64 x y)))
(fma.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (/.f64 x y)))
(fma.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 (sqrt.f64 (*.f64 y x)) z))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 z x) y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z x) y)))
(/.f64 (neg.f64 (*.f64 y (neg.f64 x))) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x y) (/.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) (sqrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 (*.f64 x (+.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (+.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x y) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 z y)) (*.f64 y z))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (fma.f64 x (/.f64 z x) y) (*.f64 y (/.f64 z x)))
(/.f64 (fma.f64 x (neg.f64 z) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 z)))
(/.f64 (+.f64 z (*.f64 (/.f64 y x) x)) (*.f64 (/.f64 y x) z))
(/.f64 (+.f64 (/.f64 z x) (*.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) (/.f64 z x)))
(/.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 (/.f64 y x) (neg.f64 x))) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 (fma.f64 (neg.f64 x) z (*.f64 y (neg.f64 x))) (*.f64 (neg.f64 y) z))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 z x) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 z x)))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 z) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (fma.f64 x (/.f64 y x) z) (*.f64 z (/.f64 y x)))
(/.f64 (fma.f64 y (neg.f64 x) (*.f64 z (neg.f64 x))) (*.f64 z (neg.f64 y)))
(/.f64 (+.f64 y (*.f64 (/.f64 z x) x)) (*.f64 (/.f64 z x) y))
(/.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 z x) #s(literal 1 binary64))) (*.f64 (/.f64 z x) (/.f64 y x)))
(/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (neg.f64 y)))
(/.f64 (fma.f64 y (neg.f64 x) (*.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) y))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 y x) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 y x)))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (neg.f64 z) (neg.f64 x))) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (+.f64 z y))) (neg.f64 (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 x y) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (/.f64 x y)))
(/.f64 (/.f64 (*.f64 x (+.f64 z y)) y) z)
(pow.f64 (+.f64 (/.f64 x y) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 x y) (/.f64 x z)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(exp.f64 (log.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (/.f64 x z))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (/.f64 x y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 x y))
(fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)) (/.f64 x z))
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (/.f64 x y))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (/.f64 x y))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y) (/.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (/.f64 x y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 x y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (/.f64 x y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (/.f64 x y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (/.f64 x y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (/.f64 x y))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (/.f64 x y))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y) (/.f64 x z))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 x z))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))

simplify180.0ms (3%)

Algorithm
egg-herbie
Rules
431×distribute-lft-neg-in
396×fma-neg
336×div-sub
304×cube-prod
283×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055712177
1128711315
2441411307
Stop Event
node limit
Counts
370 → 300
Calls
Call 1
Inputs
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 x y) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x y)
(/.f64 (+.f64 x (/.f64 (*.f64 x y) z)) y)
(/.f64 (+.f64 x (/.f64 (*.f64 x y) z)) y)
(/.f64 (+.f64 x (/.f64 (*.f64 x y) z)) y)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 (+.f64 x (/.f64 (*.f64 x z) y)) z)
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(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) (sqrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 (*.f64 x (+.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (+.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x y) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 z y)) (*.f64 y z))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (fma.f64 x (/.f64 z x) y) (*.f64 y (/.f64 z x)))
(/.f64 (fma.f64 x (neg.f64 z) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 z)))
(/.f64 (+.f64 z (*.f64 (/.f64 y x) x)) (*.f64 (/.f64 y x) z))
(/.f64 (+.f64 (/.f64 z x) (*.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) (/.f64 z x)))
(/.f64 (fma.f64 #s(literal -1 binary64) z (*.f64 (/.f64 y x) (neg.f64 x))) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 (fma.f64 (neg.f64 x) z (*.f64 y (neg.f64 x))) (*.f64 (neg.f64 y) z))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 z x) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 z x)))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 z) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (fma.f64 x (/.f64 y x) z) (*.f64 z (/.f64 y x)))
(/.f64 (fma.f64 y (neg.f64 x) (*.f64 z (neg.f64 x))) (*.f64 z (neg.f64 y)))
(/.f64 (+.f64 y (*.f64 (/.f64 z x) x)) (*.f64 (/.f64 z x) y))
(/.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 z x) #s(literal 1 binary64))) (*.f64 (/.f64 z x) (/.f64 y x)))
(/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 (/.f64 z x) (neg.f64 x))) (*.f64 (/.f64 z x) (neg.f64 y)))
(/.f64 (fma.f64 y (neg.f64 x) (*.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) y))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 y x) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 y x)))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (neg.f64 z) (neg.f64 x))) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (+.f64 z y))) (neg.f64 (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 x y) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (/.f64 x y)))
(/.f64 (/.f64 (*.f64 x (+.f64 z y)) y) z)
(pow.f64 (+.f64 (/.f64 x y) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 x y) (/.f64 x z)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(exp.f64 (log.f64 (+.f64 (/.f64 x y) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (/.f64 x z))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (/.f64 x y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 x y))
(fma.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)) (/.f64 x z))
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (/.f64 x y))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (/.f64 x y))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y) (/.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (/.f64 x y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 x y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (/.f64 x y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (/.f64 x y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (/.f64 x y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (/.f64 x y))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (/.f64 x y))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y) (/.f64 x z))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 x z))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 (+.f64 y z) (/.f64 x z))
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 (+.f64 y z) (/.f64 x z))
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 (+.f64 y z) (/.f64 x z))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 x y) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (/.f64 x y))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 x y) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (/.f64 x y))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 x y) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 x y) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (/.f64 x y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (/.f64 x y))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (/.f64 x y))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 x y) (/.f64 x z))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y) (/.f64 x z))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 x y) (/.f64 x z))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 x z))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 x y)
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(*.f64 y x)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 y x)
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 x y)
(*.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(*.f64 x y)
(*.f64 y x)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 x y)
(*.f64 y x)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x y)
(*.f64 y x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 x y)
(*.f64 y x)
(expm1.f64 (log1p.f64 (*.f64 y x)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(*.f64 x y)
(*.f64 y x)
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 x y)
(*.f64 y x)
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 y x)

eval64.0ms (1.1%)

Compiler

Compiled 6071 to 1865 computations (69.3% saved)

prune78.0ms (1.3%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New4624466
Fresh224
Picked055
Done000
Total46411475
Accuracy
100.0%
Counts
475 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(/.f64 (*.f64 x y) z)
50.1%
(/.f64 y (/.f64 z x))
94.8%
(+.f64 x (/.f64 (*.f64 x y) z))
94.7%
(+.f64 x (*.f64 (/.f64 y z) x))
47.2%
(*.f64 (/.f64 y z) x)
49.4%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
84.7%
(*.f64 (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) z) x))
40.6%
(*.f64 z (/.f64 x z))
50.6%
(*.f64 y (/.f64 x z))
89.1%
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
48.4%
x
Compiler

Compiled 154 to 98 computations (36.4% saved)

localize331.0ms (5.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
cost-diff256
(*.f64 z (/.f64 x z))
accuracy94.4%
(/.f64 y (/.f64 z x))
accuracy93.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
accuracy92.4%
(*.f64 (/.f64 y z) x)
accuracy74.7%
(*.f64 z (/.f64 x z))
Rules
2062×associate-/r*
1001×associate-/r/
791×fma-define
454×associate-*r/
271×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020252
140251
263251
3102251
4139251
5234251
61012251
72722251
83208251
93766251
103804251
113836251
123870251
133906251
143944251
153984251
164026251
174070251
184116251
194164251
204214251
214266251
224320251
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (/.f64 y z) x))
x
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
(*.f64 z (/.f64 x z))
z
(/.f64 x z)
x
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 y x)
y
x
Outputs
(+.f64 x (*.f64 (/.f64 y z) x))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(fma.f64 x (/.f64 y z) x)
x
(*.f64 (/.f64 y z) x)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 y z)
y
z
(*.f64 z (/.f64 x z))
x
z
(/.f64 x z)
x
(*.f64 (/.f64 y z) x)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 y z)
y
z
x
(/.f64 y (/.f64 z x))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
y
(/.f64 z x)
z
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 y x)
(*.f64 x y)
y
x
Results
51.0ms256×0valid
Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 12.0ms (55% of total)
ival-mult: 7.0ms (32.1% of total)
ival-add: 1.0ms (4.6% of total)
const: 1.0ms (4.6% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
4 → 132
Calls
Call 1
Inputs
#<alt (*.f64 z (/.f64 x z))>
#<alt (*.f64 (/.f64 y z) x)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))>
#<alt (/.f64 y (/.f64 z x))>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
Calls

33 calls:

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

rewrite127.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
729×log1p-expm1-u
729×expm1-log1p-u
728×log-prod
196×expm1-undefine
196×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01988
127988
2337488
Stop Event
node limit
Counts
4 → 207
Calls
Call 1
Inputs
(*.f64 z (/.f64 x z))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(/.f64 y (/.f64 z x))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 z (/.f64 z x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) z)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) z))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 z x)))) #s(literal 1 binary64))
(/.f64 z (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x)))
(/.f64 (*.f64 z x) z)
(/.f64 (neg.f64 (*.f64 z x)) (neg.f64 z))
(/.f64 (*.f64 z (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 z))
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 z (/.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (/.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (/.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (/.f64 z x)))))
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 z x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 z x))))
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 z x))))
(exp.f64 (log.f64 (/.f64 z (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 z x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x y))))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 z x))
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 3 binary64))
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))

simplify142.0ms (2.4%)

Algorithm
egg-herbie
Rules
658×associate-/r*
608×fma-define
253×cube-prod
229×exp-prod
214×distribute-lft-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03237197
16977185
223247113
Stop Event
node limit
Counts
339 → 154
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) z))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 z x)))) #s(literal 1 binary64))
(/.f64 z (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x)))
(/.f64 (*.f64 z x) z)
(/.f64 (neg.f64 (*.f64 z x)) (neg.f64 z))
(/.f64 (*.f64 z (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 z))
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 z (/.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (/.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (/.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (/.f64 z x)))))
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 z x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 z x))))
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 z x))))
(exp.f64 (log.f64 (/.f64 z (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 z x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x y))))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 z x))
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (/.f64 z (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 y) (/.f64 z x)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x y))))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 z x))
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (/.f64 z (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 y) (/.f64 z x)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x y) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y z)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 x y) z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 (/.f64 z x))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (sqrt.f64 (/.f64 (*.f64 x y) z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 z x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 z x)))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 x y) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 z x))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 x y) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)))
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (*.f64 x y) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (/.f64 z (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 y) (/.f64 z x)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
Outputs
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
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(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 x))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 (*.f64 x y) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (cbrt.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 x (/.f64 y (cbrt.f64 z))))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 3 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(pow.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 2 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(neg.f64 (/.f64 y (/.f64 z (neg.f64 x))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(neg.f64 (/.f64 (neg.f64 y) (/.f64 z x)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(log.f64 (exp.f64 (/.f64 (*.f64 x y) z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x y) z))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x y) z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x y) z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))

eval39.0ms (0.7%)

Compiler

Compiled 3081 to 1074 computations (65.1% saved)

prune44.0ms (0.7%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New2872289
Fresh101
Picked325
Done055
Total2919300
Accuracy
100.0%
Counts
300 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(/.f64 (*.f64 x y) z)
47.5%
(/.f64 x (/.f64 z y))
94.8%
(+.f64 x (/.f64 (*.f64 x y) z))
95.0%
(+.f64 x (/.f64 x (/.f64 z y)))
47.2%
(*.f64 (/.f64 y z) x)
40.6%
(*.f64 z (/.f64 x z))
50.6%
(*.f64 y (/.f64 x z))
89.1%
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
48.4%
x
Compiler

Compiled 76 to 47 computations (38.2% saved)

localize80.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 x (/.f64 z y))
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 x (/.f64 z y))
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(+.f64 x (/.f64 x (/.f64 z y)))
accuracy92.4%
(/.f64 x (/.f64 z y))
Rules
28×fma-define
19×associate-*l*
10×associate-*r*
*-commutative
*-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012125
115121
220121
325121
427121
531121
639121
745121
855121
979121
10101121
11130121
12132121
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 x (/.f64 z y)))
x
(/.f64 x (/.f64 z y))
(/.f64 z y)
z
y
(/.f64 x (/.f64 z y))
x
(/.f64 z y)
z
y
Outputs
(+.f64 x (/.f64 x (/.f64 z y)))
(+.f64 x (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 x z) y x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 x (/.f64 y z) x)
x
(/.f64 x (/.f64 z y))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 z y)
z
y
(/.f64 x (/.f64 z y))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
x
(/.f64 z y)
z
y
Results
59.0ms256×0valid
Compiler

Compiled 33 to 7 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 44.0ms (96.2% of total)
ival-add: 1.0ms (2.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (/.f64 x (/.f64 z y))>
#<alt (+.f64 x (/.f64 x (/.f64 z y)))>
#<alt (/.f64 z y)>
Outputs
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
(/ z y)
0.0ms
y
@0
(/ z y)
0.0ms
y
@-inf
(/ z y)
0.0ms
z
@inf
(/ z y)
0.0ms
z
@0
(/ z y)

rewrite102.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
972×prod-diff
873×log1p-expm1-u
873×expm1-log1p-u
229×fma-define
137×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01266
115062
2235562
Stop Event
node limit
Counts
3 → 143
Calls
Call 1
Inputs
(/.f64 x (/.f64 z y))
(+.f64 x (/.f64 x (/.f64 z y)))
(/.f64 z y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 y))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (/.f64 (neg.f64 z) y)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 x (/.f64 y z)))) (/.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 x (/.f64 y z)))))
(*.f64 (fma.f64 x (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) x))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (/.f64 y z)) (fma.f64 y (/.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (/.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 y z)) (fma.f64 y (/.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (/.f64 y z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 y z)) (fma.f64 y (/.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 x (/.f64 y z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (/.f64 y z)) (fma.f64 y (/.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 x (/.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (/.f64 x z) (neg.f64 x)))
(pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) x))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) x)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)) x)
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)) x)
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 y z)))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 z y)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)) x)
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 (/.f64 x z) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 z y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))) x)
(fma.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 z y)) x)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))) x)
(fma.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) y x)
(fma.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z) x)
(fma.f64 (/.f64 x (neg.f64 z)) (neg.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 z) y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))

simplify264.0ms (4.4%)

Algorithm
egg-herbie
Rules
603×exp-prod
564×associate-*r/
481×associate-/r*
343×cancel-sign-sub-inv
281×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03036196
16756079
219395764
377475764
Stop Event
node limit
Counts
215 → 161
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(/.f64 (*.f64 x y) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x y) z)
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 y))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (/.f64 (neg.f64 z) y)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 x (/.f64 y z)))) (/.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 x (/.f64 y z)))))
(*.f64 (fma.f64 x (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) x))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (/.f64 y z)) (fma.f64 y (/.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (/.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 y z)) (fma.f64 y (/.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (/.f64 y z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 y z)) (fma.f64 y (/.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 x (/.f64 y z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (/.f64 y z)) (fma.f64 y (/.f64 x z) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 x (/.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (/.f64 x z) (neg.f64 x)))
(pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) x))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) x)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)) x)
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)) x)
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 y z)))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 z y)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)) x)
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 (/.f64 x z) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 z y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))) x)
(fma.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 z y)) x)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))) x)
(fma.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) y x)
(fma.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z) x)
(fma.f64 (/.f64 x (neg.f64 z)) (neg.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 z) y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (/.f64 (+.f64 y z) z))
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (/.f64 (+.f64 y z) z))
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 x (/.f64 (+.f64 y z) z))
x
(+.f64 x (/.f64 (*.f64 x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 x (/.f64 y z))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) x)
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 z y))))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y z))
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))) x)
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 z y)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 x (neg.f64 z)) (neg.f64 y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (cbrt.f64 (/.f64 z y)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(neg.f64 (/.f64 (neg.f64 z) y))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(log.f64 (exp.f64 (/.f64 z y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(log1p.f64 (expm1.f64 (/.f64 z y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(exp.f64 (log.f64 (/.f64 z y)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)

eval33.0ms (0.5%)

Compiler

Compiled 2834 to 970 computations (65.8% saved)

prune41.0ms (0.7%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New2460246
Fresh000
Picked022
Done077
Total2469255
Accuracy
100.0%
Counts
255 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(/.f64 (*.f64 x y) z)
47.5%
(/.f64 x (/.f64 z y))
94.8%
(+.f64 x (/.f64 (*.f64 x y) z))
95.0%
(+.f64 x (/.f64 x (/.f64 z y)))
47.2%
(*.f64 (/.f64 y z) x)
40.6%
(*.f64 z (/.f64 x z))
50.6%
(*.f64 y (/.f64 x z))
89.1%
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
48.4%
x
Compiler

Compiled 189 to 84 computations (55.6% saved)

regimes49.0ms (0.8%)

Counts
18 → 2
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 z (/.f64 x z))
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(+.f64 x (*.f64 (/.f64 y z) x))
(+.f64 x (/.f64 x (/.f64 z y)))
(+.f64 x (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (+.f64 y z) (/.f64 z x))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) z) x))
Outputs
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 x (/.f64 x (/.f64 z y)))
Calls

4 calls:

17.0ms
z
11.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
10.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
99.1%2x
97.5%2y
99.5%4z
99.1%3(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes15.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 z (/.f64 x z))
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(+.f64 x (*.f64 (/.f64 y z) x))
(+.f64 x (/.f64 x (/.f64 z y)))
Outputs
(+.f64 x (/.f64 x (/.f64 z y)))
(*.f64 (+.f64 y z) (/.f64 x z))
Calls

2 calls:

9.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
97.2%2y
95.0%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 z (/.f64 x z))
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(+.f64 x (*.f64 (/.f64 y z) x))
Outputs
(+.f64 x (*.f64 (/.f64 y z) x))
(*.f64 (+.f64 y z) (/.f64 x z))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
96.9%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 z (/.f64 x z))
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
Outputs
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (+.f64 y z) (/.f64 x z))
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
96.8%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.3%)

Counts
9 → 2
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 z (/.f64 x z))
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
Outputs
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 y (/.f64 x z))
Calls

3 calls:

8.0ms
y
6.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
96.9%3z
94.7%1x
96.3%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes46.0ms (0.8%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 z (/.f64 x z))
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
Outputs
(*.f64 y (/.f64 x z))
x
(*.f64 y (/.f64 x z))
Calls

3 calls:

28.0ms
x
11.0ms
z
7.0ms
y
Results
AccuracySegmentsBranch
78.4%5z
69.9%10x
75.8%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

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

2 calls:

5.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
73.8%5z
71.0%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

0.0ms
x
0.0ms
y
0.0ms
z
Results
AccuracySegmentsBranch
48.4%1x
48.4%1z
48.4%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch13.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
1.0010164805225733e-101
1.0397139240107642e-94
Results
8.0ms144×0valid
Compiler

Compiled 214 to 137 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (30% of total)
ival-add: 1.0ms (30% of total)
ival-mult: 1.0ms (30% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
2.34367772029624e+115
1.9672813314314645e+117
Results
8.0ms112×0valid
Compiler

Compiled 170 to 109 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (38.6% of total)
ival-add: 1.0ms (38.6% of total)
ival-mult: 1.0ms (38.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch10.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
2.34367772029624e+115
1.9672813314314645e+117
Results
6.0ms112×0valid
Compiler

Compiled 170 to 109 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (38.2% of total)
ival-add: 1.0ms (38.2% of total)
ival-mult: 1.0ms (38.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
2.34367772029624e+115
1.9672813314314645e+117
Results
6.0ms112×0valid
Compiler

Compiled 170 to 116 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (39.5% of total)
ival-add: 1.0ms (39.5% of total)
ival-mult: 1.0ms (39.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
1.57390004590879e+192
9.077567558218418e+192
Results
5.0ms96×0valid
Compiler

Compiled 136 to 95 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (44% of total)
ival-add: 1.0ms (44% of total)
ival-mult: 1.0ms (44% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch366.0ms (6.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.2339706216145083e-43
4.4452158655552006e-42
355.0ms
-7.3513480652958225e-34
-1.3849734482240494e-49
Results
14.0ms272×0valid
Compiler

Compiled 254 to 181 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32.3% of total)
ival-add: 2.0ms (32.3% of total)
ival-mult: 2.0ms (32.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.2339706216145083e-43
4.4452158655552006e-42
21.0ms
-7.3513480652958225e-34
-1.3849734482240494e-49
Results
22.0ms272×0valid
Compiler

Compiled 254 to 181 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 10.0ms (70.6% of total)
ival-div: 2.0ms (14.1% of total)
ival-mult: 2.0ms (14.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify16.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
if-if-or-not
sub-neg
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056473
177473
281473
382473
483473
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 2855827780652981/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (+.f64 x (/.f64 (*.f64 x y) z)) (+.f64 x (/.f64 x (/.f64 z y))))
(if (<=.f64 y #s(literal 105000000000000006008240143160042366293165600911954181210164772731662419873840561662729464339831828453028013537230848 binary64)) (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (+.f64 y z) (/.f64 x z)))
(if (<=.f64 y #s(literal 1800000000000000063002960629568508233642798148339852425716297939066899788908889968436221689037100177393382137930973184 binary64)) (+.f64 x (*.f64 (/.f64 y z) x)) (*.f64 (+.f64 y z) (/.f64 x z)))
(if (<=.f64 y #s(literal 960000000000000014937039484288169303297473341044218976034979757213600429918165475134385974318445549769158029633126400 binary64)) (*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64))) (*.f64 (+.f64 y z) (/.f64 x z)))
(if (<=.f64 y #s(literal 8999999999999999988208425216164017694642305358218588727678443201517465863427125389299120277211258802756077326560503217006660484715891128217872116985488137220227297152538587728883886360186847232 binary64)) (*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64))) (*.f64 y (/.f64 x z)))
(if (<=.f64 y #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 3640719006524275/12554203470773361527671578846415332832204710888928069025792 binary64)) x (*.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -5612166287350667/46768052394588893382517914646921056628989841375232 binary64)) (*.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 1945901537969871/3138550867693340381917894711603833208051177722232017256448 binary64)) x (*.f64 x (/.f64 y z))))
x
Outputs
(if (<=.f64 x #s(literal 2855827780652981/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (+.f64 x (/.f64 (*.f64 x y) z)) (+.f64 x (/.f64 x (/.f64 z y))))
(if (<=.f64 y #s(literal 105000000000000006008240143160042366293165600911954181210164772731662419873840561662729464339831828453028013537230848 binary64)) (+.f64 x (/.f64 x (/.f64 z y))) (*.f64 (+.f64 y z) (/.f64 x z)))
(if (<=.f64 y #s(literal 1800000000000000063002960629568508233642798148339852425716297939066899788908889968436221689037100177393382137930973184 binary64)) (+.f64 x (*.f64 (/.f64 y z) x)) (*.f64 (+.f64 y z) (/.f64 x z)))
(if (<=.f64 y #s(literal 1800000000000000063002960629568508233642798148339852425716297939066899788908889968436221689037100177393382137930973184 binary64)) (+.f64 x (*.f64 x (/.f64 y z))) (*.f64 (+.f64 y z) (/.f64 x z)))
(if (<=.f64 y #s(literal 960000000000000014937039484288169303297473341044218976034979757213600429918165475134385974318445549769158029633126400 binary64)) (*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64))) (*.f64 (+.f64 y z) (/.f64 x z)))
(if (<=.f64 y #s(literal 8999999999999999988208425216164017694642305358218588727678443201517465863427125389299120277211258802756077326560503217006660484715891128217872116985488137220227297152538587728883886360186847232 binary64)) (*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64))) (*.f64 y (/.f64 x z)))
(if (<=.f64 y #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 3640719006524275/12554203470773361527671578846415332832204710888928069025792 binary64)) x (*.f64 y (/.f64 x z))))
(if (or (<=.f64 y #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) (not (<=.f64 y #s(literal 3640719006524275/12554203470773361527671578846415332832204710888928069025792 binary64)))) (*.f64 y (/.f64 x z)) x)
(if (<=.f64 y #s(literal -5612166287350667/46768052394588893382517914646921056628989841375232 binary64)) (*.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 1945901537969871/3138550867693340381917894711603833208051177722232017256448 binary64)) x (*.f64 x (/.f64 y z))))
(if (or (<=.f64 y #s(literal -5612166287350667/46768052394588893382517914646921056628989841375232 binary64)) (not (<=.f64 y #s(literal 1945901537969871/3138550867693340381917894711603833208051177722232017256448 binary64)))) (*.f64 x (/.f64 y z)) x)
x

soundness1.1s (17.9%)

Rules
1372×fma-define
855×log1p-expm1-u
855×expm1-log1p-u
729×log1p-expm1-u
729×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061113251
1145112575
2608812575
01988
127988
2337488
016128
1246128
23658128
036369
1117353
2318345
31015318
42926314
56081308
67171308
77269308
87365308
97491302
107705302
Stop Event
done
node limit
node limit
node limit
node limit
Compiler

Compiled 383 to 171 computations (55.4% saved)

preprocess64.0ms (1.1%)

Compiler

Compiled 368 to 174 computations (52.7% saved)

end0.0ms (0%)

Profiling

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