Numeric.SpecFunctions:choose from math-functions-0.1.5.2

Time bar (total: 6.2s)

analyze44.0ms (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: 15.0ms
ival-div: 5.0ms (32.9% of total)
ival-add: 5.0ms (32.9% of total)
ival-mult: 4.0ms (26.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample847.0ms (13.7%)

Results
605.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 240.0ms
ival-add: 90.0ms (37.5% of total)
ival-mult: 72.0ms (30% of total)
ival-div: 68.0ms (28.3% of total)
const: 8.0ms (3.3% of total)
backward-pass: 2.0ms (0.8% of total)
Bogosity

preprocess209.0ms (3.4%)

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)

explain124.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
390-2(2.5282468925630108e-67 3.6977143451983226e-308 1.5176167674774683e-246)(/.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
100.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-add: 69.0ms (88.7% of total)
ival-div: 4.0ms (5.1% of total)
ival-mult: 4.0ms (5.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 16 computations (56.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(fma.f64 x (/.f64 y z) x)
86.0%
(/.f64 (*.f64 x (+.f64 y z)) z)
86.9%
(*.f64 (+.f64 y z) (/.f64 x z))
94.7%
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
Compiler

Compiled 39 to 24 computations (38.5% saved)

simplify77.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff6272
(fma.f64 x (/.f64 y z) x)
cost-diff-6272
(/.f64 (*.f64 x (+.f64 y z)) z)
cost-diff0
(+.f64 y z)
cost-diff0
(*.f64 x (+.f64 y z))
cost-diff-6272
(*.f64 (+.f64 y z) (/.f64 x z))
cost-diff0
(/.f64 x z)
cost-diff0
(+.f64 y z)
cost-diff-6272
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 (/.f64 y z) #s(literal -1 binary64))
Rules
727×fma-define
601×distribute-frac-neg
513×times-frac
424×associate-/r*
328×distribute-frac-neg2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020267
139267
269263
386263
4134263
5172263
6369263
7893263
82397263
93590263
104071263
114846263
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
(fma.f64 x (/.f64 y z) x)
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
(fma.f64 x (/.f64 y z) x)
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
x
(/.f64 y z)
y
z

localize99.0ms (1.6%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y z)
accuracy94.7%
(fma.f64 x (/.f64 y z) x)
accuracy100.0%
(+.f64 y z)
accuracy100.0%
(*.f64 x (+.f64 y z))
accuracy86.0%
(/.f64 (*.f64 x (+.f64 y z)) z)
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(+.f64 y z)
accuracy86.9%
(*.f64 (+.f64 y z) (/.f64 x z))
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(-.f64 (/.f64 y z) #s(literal -1 binary64))
accuracy94.7%
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
Results
81.0ms256×0valid
Compiler

Compiled 69 to 14 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 6.0ms (35% of total)
ival-mult: 5.0ms (29.2% of total)
ival-fma: 3.0ms (17.5% of total)
ival-sub: 1.0ms (5.8% of total)
ival-add: 1.0ms (5.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.5%)

Counts
9 → 198
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 y z) #s(literal -1 binary64))>
#<alt (/.f64 y z)>
#<alt (*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))>
#<alt (+.f64 y z)>
#<alt (/.f64 x z)>
#<alt (*.f64 (+.f64 y z) (/.f64 x z))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (fma.f64 x (/.f64 y z) x)>
Outputs
#<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 (*.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 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))))>
#<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 (*.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 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 #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 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))>
Calls

69 calls:

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

rewrite450.0ms (7.3%)

Algorithm
batch-egg-rewrite
Rules
946×log1p-expm1-u
854×prod-diff
291×expm1-log1p-u
128×add-cube-cbrt
127×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020198
1296196
24311196
Stop Event
node limit
Counts
9 → 341
Calls
Call 1
Inputs
(-.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 y z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(+.f64 y z)
(/.f64 x z)
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 x (+.f64 y z))
(/.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (/.f64 y z) x)
Outputs
(+.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 x (*.f64 (/.f64 y z) x))
(+.f64 (*.f64 (/.f64 y z) x) x)
(+.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y z) x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 y z) x) x))
(/.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 (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)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #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))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) x)))
(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)))
(fma.f64 x (/.f64 y z) x)
(-.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)))
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(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (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 (*.f64 x (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 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y z) x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 y z) x) x))
(/.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 (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)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #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))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) x)))
(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)))

simplify252.0ms (4.1%)

Algorithm
egg-herbie
Rules
644×exp-prod
627×fma-neg
590×associate-*r*
570×associate-*l*
236×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064815890
1156015187
2682015187
Stop Event
node limit
Counts
539 → 384
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(/.f64 (+.f64 y z) z)
(/.f64 (+.f64 y z) z)
(/.f64 (+.f64 y z) z)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.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)))
(*.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))
(+.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))
z
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
y
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
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)
(*.f64 x z)
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x z) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.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 (*.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 #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))))
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 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))))
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(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)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #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)))
(fma.f64 y x (*.f64 z x))
(fma.f64 x y (*.f64 z x))
(+.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 x (/.f64 (+.f64 y z) z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (+.f64 y z) z))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y z)))
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 (/.f64 x z) (+.f64 y z))
(*.f64 (*.f64 x (+.f64 y z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x (/.f64 (+.f64 y z) z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 y z) z)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 y z) z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 y z) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 y z) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (+.f64 y z) 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 x (+.f64 y z))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (/.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 x (/.f64 (+.f64 y z) z))) (sqrt.f64 (*.f64 x (/.f64 (+.f64 y z) 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 x (+.f64 y z))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) z))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (+.f64 y z) z)))
(*.f64 (*.f64 x (neg.f64 (+.f64 y z))) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (+.f64 y z)))
(*.f64 (/.f64 (+.f64 y z) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 x (+.f64 y z)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 x (+.f64 y z)) (sqrt.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 (+.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 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (+.f64 y z) z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (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 x (/.f64 (+.f64 y z) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 y z) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 y z) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 y z) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z x) (+.f64 y z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x (+.f64 y z)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 y z))) z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 y z) 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 x (/.f64 (+.f64 y z) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 y z) 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 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 y z) z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 y z) z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 y z) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (+.f64 y z) z))) #s(literal 1 binary64)))
(+.f64 x (*.f64 (/.f64 y z) x))
(+.f64 (*.f64 (/.f64 y z) x) x)
(+.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x))) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (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 (*.f64 x (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 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y z) x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 y z) x) x))
(/.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 (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)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #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))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) x)))
(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)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
(/.f64 (+.f64 y z) z)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (+.f64 y z) z)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (+.f64 y z) z)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(/.f64 (*.f64 x y) z)
(*.f64 y (/.f64 x 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 #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 y (neg.f64 (-.f64 (/.f64 x (neg.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 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 y (neg.f64 (-.f64 (/.f64 x (neg.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 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x y) (/.f64 x z))))
(*.f64 y (neg.f64 (-.f64 (/.f64 x (neg.f64 y)) (/.f64 x z))))
(/.f64 (*.f64 x y) z)
(*.f64 y (/.f64 x z))
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(/.f64 (+.f64 (*.f64 x y) (*.f64 x z)) z)
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
x
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(+.f64 x (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
z
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
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(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(pow.f64 (*.f64 x (/.f64 (+.f64 y z) z)) #s(literal 1 binary64))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 y z) z))) #s(literal 3 binary64))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 y z) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 y z) z))) #s(literal 2 binary64))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(pow.f64 (/.f64 (/.f64 z x) (+.f64 y z)) #s(literal -1 binary64))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(neg.f64 (/.f64 (*.f64 x (+.f64 y z)) (neg.f64 z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(neg.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 y z))) z))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 y z) z)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 y z) x x) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 y (/.f64 x z) x))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) (+.f64 y z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (+.f64 y z) z)))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 y z) z)) #s(literal 3 binary64)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 y z) z))))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 y z) x x)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 x z) x)))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 y z) z))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 y z) z))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (+.f64 y z) z))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(+.f64 x (*.f64 (/.f64 y z) x))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(+.f64 (*.f64 (/.f64 y z) x) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(+.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 y z) x x)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 x z) x)))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (fma.f64 x (/.f64 y z) x) #s(literal 1 binary64))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) x))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x 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)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.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)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) x))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))) x))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (*.f64 x (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))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (*.f64 x (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y z) x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 y z) x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 x z)) x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (*.f64 x (+.f64 (/.f64 y z) #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 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 x (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(/.f64 (fma.f64 x (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.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 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.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 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 x (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(/.f64 (fma.f64 x (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.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)))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 1 binary64))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 3 binary64))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) #s(literal 2 binary64))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 y z) x x) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 y (/.f64 x z) x))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) x)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) x))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) x) #s(literal 3 binary64)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 3 binary64))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 y z) x x)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 x z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) x)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(exp.f64 (+.f64 (log1p.f64 (/.f64 y z)) (log.f64 x)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 y z)) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)

eval68.0ms (1.1%)

Compiler

Compiled 5876 to 1138 computations (80.6% saved)

prune76.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4627469
Fresh000
Picked404
Done000
Total4667473
Accuracy
100.0%
Counts
473 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.6%
(/.f64 (+.f64 y z) (/.f64 z x))
47.9%
(/.f64 (*.f64 y x) z)
94.7%
(+.f64 (*.f64 (/.f64 y z) x) x)
66.7%
(*.f64 (+.f64 y z) (log1p.f64 (expm1.f64 (/.f64 x z))))
49.5%
(*.f64 y (/.f64 x z))
45.7%
(*.f64 x (/.f64 y z))
51.2%
x
Compiler

Compiled 120 to 76 computations (36.7% saved)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 (*.f64 y x) z)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 y (/.f64 x z))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 x (/.f64 y z))
cost-diff-6272
(+.f64 (*.f64 (/.f64 y z) x) x)
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
Rules
25×fma-define
14×associate-*l*
11×associate-*r*
*-commutative
*-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017219
126219
237219
343219
453219
575219
687219
7107219
8110219
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 y z) x) x)
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
x
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
(*.f64 y (/.f64 x z))
y
(/.f64 x z)
x
z
(/.f64 (*.f64 y x) z)
(*.f64 y x)
y
x
z
Outputs
(+.f64 (*.f64 (/.f64 y z) x) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 y z)
y
z
x
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
x
(/.f64 y z)
y
z
(*.f64 y (/.f64 x z))
y
(/.f64 x z)
x
z
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 y x)
y
x
z

localize320.0ms (5.2%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
accuracy91.3%
(/.f64 (*.f64 y x) z)
accuracy100.0%
(/.f64 x z)
accuracy93.5%
(*.f64 y (/.f64 x z))
accuracy100.0%
(/.f64 y z)
accuracy91.3%
(*.f64 x (/.f64 y z))
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(+.f64 (*.f64 (/.f64 y z) x) x)
accuracy91.3%
(*.f64 (/.f64 y z) x)
Results
301.0ms256×0valid
Compiler

Compiled 56 to 12 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 275.0ms
ival-add: 260.0ms (94.4% of total)
ival-div: 8.0ms (2.9% of total)
ival-mult: 7.0ms (2.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
6 → 204
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 y z) x)>
#<alt (+.f64 (*.f64 (/.f64 y z) x) x)>
#<alt (*.f64 x (/.f64 y z))>
#<alt (*.f64 y (/.f64 x z))>
#<alt (/.f64 (*.f64 y x) z)>
#<alt (*.f64 y x)>
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 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 #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 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 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
Calls

51 calls:

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

rewrite222.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
702×log1p-expm1-u
702×expm1-log1p-u
631×log-prod
336×fma-define
242×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017128
1263128
23071128
Stop Event
node limit
Counts
6 → 262
Calls
Call 1
Inputs
(*.f64 (/.f64 y z) x)
(+.f64 (*.f64 (/.f64 y z) x) x)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 y (/.f64 z x))
(/.f64 x (/.f64 z y))
(/.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)))
(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 (fma.f64 y (/.f64 x z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (/.f64 x z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x z) x))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 x z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 x z) x)) (sqrt.f64 (fma.f64 y (/.f64 x z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (/.f64 x z))) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (/.f64 x z))) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 y (/.f64 x z))) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y (/.f64 x z))) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (/.f64 x z))))
(pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 x z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 x z) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (/.f64 x z)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 x z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 x z) x)))
(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)))
(fma.f64 y (/.f64 x z) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) y x)
(fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) y) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y z)) x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) z) x)
(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)) x)
(fma.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x z))) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x z)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 x z)))
(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 z)) (*.f64 (sqrt.f64 (/.f64 x z)) y) x)
(fma.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) x) x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (/.f64 (sqrt.f64 (*.f64 y x)) z) x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)) x)
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 x z)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)) x)
(fma.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (cbrt.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 y x) (sqrt.f64 z)) x)
(fma.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) x)
(fma.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z) x)
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)) x)
(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) x)
(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))) x)
(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)) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y x)) z) x)
(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)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) x)
(fma.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)) x)
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) 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)
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 y (/.f64 z x))
(/.f64 x (/.f64 z y))
(/.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)))
(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 #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 y (/.f64 z x))
(/.f64 x (/.f64 z y))
(/.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)))
(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 #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.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 z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y z)) x))
(*.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 z)) (*.f64 (sqrt.f64 (/.f64 y z)) x))
(*.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 #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 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 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 (/.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)))
(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 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (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 y) x))
(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)))

simplify158.0ms (2.6%)

Algorithm
egg-herbie
Rules
580×associate-/r*
399×cancel-sign-sub-inv
304×fma-neg
301×distribute-lft-in
284×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038311888
184111858
2257411792
Stop Event
node limit
Counts
466 → 211
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)
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 #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 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)
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 y (/.f64 z x))
(/.f64 x (/.f64 z y))
(/.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)))
(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 #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.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 z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y z)) x))
(*.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 z)) (*.f64 (sqrt.f64 (/.f64 y z)) x))
(*.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 #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 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 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 (/.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)))
(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 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (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 y) x))
(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
(/.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))
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 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 (*.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))
(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 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))))
(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))))
(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))))
(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))))
(fma.f64 x (/.f64 y z) x)
(/.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 (*.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)
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) x)
(*.f64 x (/.f64 y z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (/.f64 y z))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) y))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y z)) x))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) z))
(*.f64 x (/.f64 y 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 x (/.f64 y z))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x z)))
(*.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 z)) (*.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 (sqrt.f64 (*.f64 y x)) z))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (cbrt.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 y x) (sqrt.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 x (/.f64 y 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 x (/.f64 y 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 (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 (/.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 x (/.f64 y z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y x)) z))
(*.f64 x (/.f64 y 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 x (/.f64 y 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 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 y 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 (*.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (/.f64 y z))
(pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 3 binary64))
(*.f64 x (/.f64 y z))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64))
(*.f64 x (/.f64 y z))
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(*.f64 x (/.f64 y z))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z))
(*.f64 x (/.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))
(*.f64 x (/.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z)))))
(*.f64 x (/.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z))))
(*.f64 x (/.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))
(*.f64 x (/.f64 y z))
(exp.f64 (log.f64 (*.f64 y (/.f64 x z))))
(*.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 x y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x y)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 y x)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 y x)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 x y)

eval37.0ms (0.6%)

Compiler

Compiled 3823 to 786 computations (79.4% saved)

prune46.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3312333
Fresh202
Picked145
Done000
Total3346340
Accuracy
100.0%
Counts
340 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.9%
(/.f64 (*.f64 y x) z)
95.4%
(+.f64 (/.f64 y (/.f64 z x)) x)
49.5%
(*.f64 y (/.f64 x z))
39.5%
(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
45.7%
(*.f64 x (/.f64 y z))
51.2%
x
Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify111.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (/.f64 y (/.f64 z x)) x)
cost-diff0
(/.f64 z x)
cost-diff0
(/.f64 y (/.f64 z x))
cost-diff0
(/.f64 x z)
cost-diff0
(expm1.f64 (/.f64 x z))
cost-diff12800
(log1p.f64 (expm1.f64 (/.f64 x z)))
cost-diff12800
(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
Rules
4516×associate-+r-
722×sub-neg
685×+-commutative
189×associate-+l-
128×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017155
127151
248151
373151
4140151
5308151
6780151
71211151
81393151
91518151
101518151
111518151
123067151
133680151
144036151
154036151
164036151
174036151
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
y
(log1p.f64 (expm1.f64 (/.f64 x z)))
(expm1.f64 (/.f64 x z))
(/.f64 x z)
x
z
(+.f64 (/.f64 y (/.f64 z x)) x)
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
Outputs
(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 y (/.f64 z x))
y
(log1p.f64 (expm1.f64 (/.f64 x z)))
(/.f64 x z)
(expm1.f64 (/.f64 x z))
(/.f64 x z)
x
z
(+.f64 (/.f64 y (/.f64 z x)) x)
(+.f64 x (*.f64 (/.f64 y z) x))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 x (/.f64 y z) x)
(/.f64 y (/.f64 z x))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
y
(/.f64 z x)
z
x

localize246.0ms (4%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 z x)
accuracy100.0%
(+.f64 (/.f64 y (/.f64 z x)) x)
accuracy97.0%
(/.f64 y (/.f64 z x))
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(expm1.f64 (/.f64 x z))
accuracy100.0%
(log1p.f64 (expm1.f64 (/.f64 x z)))
accuracy97.3%
(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
Results
216.0ms118×5exit
16.0ms138×0valid
Compiler

Compiled 44 to 11 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 15.0ms (28.8% of total)
backward-pass: 11.0ms (21.2% of total)
ival-expm1: 9.0ms (17.3% of total)
ival-log1p: 9.0ms (17.3% of total)
ival-mult: 7.0ms (13.5% of total)
ival-add: 2.0ms (3.8% of total)
const: 0.0ms (0% of total)

series22.0ms (0.3%)

Counts
6 → 156
Calls
Call 1
Inputs
#<alt (*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))>
#<alt (log1p.f64 (expm1.f64 (/.f64 x z)))>
#<alt (expm1.f64 (/.f64 x z))>
#<alt (/.f64 y (/.f64 z x))>
#<alt (/.f64 z x)>
#<alt (+.f64 (/.f64 y (/.f64 z x)) x)>
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 z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (/.f64 x z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) z)>
#<alt (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) z)>
#<alt (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))) z)>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) z))) z)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z))) 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 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 #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))))>
Calls

45 calls:

TimeVariablePointExpression
10.0ms
z
@0
(/ z x)
1.0ms
x
@0
(- (exp (/ x z)) 1)
1.0ms
z
@-inf
(- (exp (/ x z)) 1)
1.0ms
z
@inf
(- (exp (/ x z)) 1)
0.0ms
z
@-inf
(/ z x)

rewrite139.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1033×log1p-expm1-u
1031×expm1-log1p-u
557×log-prod
262×fma-define
197×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017118
1215114
22848114
Stop Event
node limit
Counts
6 → 286
Calls
Call 1
Inputs
(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(expm1.f64 (/.f64 x z))
(/.f64 y (/.f64 z x))
(/.f64 z x)
(+.f64 (/.f64 y (/.f64 z x)) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z))) (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 y (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y x))))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 z x))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(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 y x)) #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 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x 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 #s(literal 0 binary64) (/.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x z))) (cbrt.f64 (exp.f64 (/.f64 x z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
(-.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)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 x))
(/.f64 x z)
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 z x)))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 x #s(literal 1 binary64)) z)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (/.f64 z x) #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))
(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)))
(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)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (/.f64 x z)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 x z)))) (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 x z)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 x z))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 x z))))))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (/.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (/.f64 x z))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 x z))) (sqrt.f64 (expm1.f64 (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (/.f64 x z)) (exp.f64 (/.f64 x z)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (exp.f64 (/.f64 x z)) (exp.f64 (/.f64 x z)) #s(literal -1 binary64)) (+.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (/.f64 x z)))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 x z)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 x z))))
(exp.f64 (log.f64 (expm1.f64 (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x z)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x z))) (cbrt.f64 (exp.f64 (/.f64 x z)))) (cbrt.f64 (exp.f64 (/.f64 x z))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 x z))) (sqrt.f64 (exp.f64 (/.f64 x z))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z))) (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y 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 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) y))
(*.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 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 (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 (/.f64 z x))))
(*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 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 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y z) x)
(*.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 x (/.f64 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 y x) (/.f64 #s(literal 1 binary64) 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))
(*.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(*.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 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 x))
(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 y x)) #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 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x 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 #s(literal 0 binary64) (/.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 z x))) (cbrt.f64 (exp.f64 (/.f64 z x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z (neg.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 x z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (/.f64 x z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x z) x))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 x z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 x z) x)) (sqrt.f64 (fma.f64 y (/.f64 x 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 x (-.f64 x (*.f64 x (/.f64 y z))) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x (/.f64 y z))) (pow.f64 (*.f64 x (/.f64 y z)) #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 (/.f64 y z) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (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))) (fma.f64 x (-.f64 x (*.f64 x (/.f64 y z))) (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 x x (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.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 x (-.f64 x (*.f64 x (/.f64 y z))) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(/.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))))
(pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 x z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 x z) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (/.f64 x z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 x z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 x z) x)))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 y z))))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 y z))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 x z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)
(fma.f64 (/.f64 x z) y 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 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) y) 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 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x z)) x)
(fma.f64 (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 (/.f64 z x))) x)
(fma.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y) 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 y) (/.f64 (sqrt.f64 y) (/.f64 z x)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)) x)
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 z x)) x)
(fma.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 z x))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)) x)
(fma.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 x (/.f64 y z))) x)
(fma.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))) x)
(fma.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))) x)
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) 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 (/.f64 y z) #s(literal 1 binary64)) x x)
(fma.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 y (neg.f64 z)) (neg.f64 x) x)

simplify182.0ms (2.9%)

Algorithm
egg-herbie
Rules
605×fma-neg
413×cube-prod
388×exp-prod
319×div-sub
257×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060211455
1131711395
2513311371
Stop Event
node limit
Counts
442 → 342
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 z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(/.f64 x z)
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(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 #s(literal 0 binary64) (/.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 z x))) (cbrt.f64 (exp.f64 (/.f64 z x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z (neg.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 x z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (/.f64 x z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x z) x))
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 x z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 x z) x)) (sqrt.f64 (fma.f64 y (/.f64 x 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 x (-.f64 x (*.f64 x (/.f64 y z))) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x (/.f64 y z))) (pow.f64 (*.f64 x (/.f64 y z)) #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 (/.f64 y z) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (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))) (fma.f64 x (-.f64 x (*.f64 x (/.f64 y z))) (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 x x (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.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 x (-.f64 x (*.f64 x (/.f64 y z))) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 (/.f64 y z) #s(literal 1 binary64)))))
(/.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))))
(pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 x z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 x z) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (/.f64 x z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 x z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 x z) x)))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 y z))))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 y z))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 x z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)
(fma.f64 (/.f64 x z) y 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 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) y) 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 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x z)) x)
(fma.f64 (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 (/.f64 z x))) x)
(fma.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y) 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 y) (/.f64 (sqrt.f64 y) (/.f64 z x)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)) x)
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 z x)) x)
(fma.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 z x))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)) x)
(fma.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 x (/.f64 y z))) x)
(fma.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))) x)
(fma.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))) x)
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) 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 (/.f64 y z) #s(literal 1 binary64)) x x)
(fma.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 y (neg.f64 z)) (neg.f64 x) x)
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 z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(/.f64 x z)
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(fma.f64 (/.f64 y (neg.f64 z)) (neg.f64 x) x)
(fma.f64 x (/.f64 y z) x)

eval48.0ms (0.8%)

Compiler

Compiled 5006 to 1191 computations (76.2% saved)

prune64.0ms (1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3822384
Fresh000
Picked112
Done134
Total3846390
Accuracy
100.0%
Counts
390 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.9%
(/.f64 (*.f64 y x) z)
49.4%
(/.f64 y (/.f64 z x))
95.4%
(+.f64 (/.f64 y (/.f64 z x)) x)
49.5%
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
49.5%
(*.f64 y (/.f64 x z))
51.2%
x
Compiler

Compiled 50 to 32 computations (36% saved)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z x)
cost-diff0
(/.f64 y (/.f64 z x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
cost-diff256
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
Rules
22×times-frac
14×associate-*r/
12×associate-*l/
10×associate-*r*
*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016151
131133
257115
397115
4130115
5142115
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
y
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
Outputs
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (*.f64 y x) z)
y
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 x z)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 (*.f64 y x) z)
y
(/.f64 z x)
z
x

localize41.0ms (0.7%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 z x)
accuracy93.1%
(/.f64 y (/.f64 z x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
accuracy93.5%
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
Results
29.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 9.0ms (79.2% of total)
ival-mult: 2.0ms (17.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
4 → 60
Calls
Call 1
Inputs
#<alt (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 #s(literal 1 binary64) x)>
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 z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
Calls

21 calls:

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

rewrite103.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
761×log1p-expm1-u
761×expm1-log1p-u
438×log-prod
203×pow2
167×pow-unpow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01479
117255
2227355
Stop Event
node limit
Counts
4 → 160
Calls
Call 1
Inputs
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 y (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (/.f64 y z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 y (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (/.f64 y z) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 y z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(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 2 binary64)) #s(literal 1/2 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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) #s(literal -1 binary64))
(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))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 x z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (/.f64 x z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 x z)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (/.f64 x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) x))
(*.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 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 x))
(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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(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 z #s(literal -3 binary64)) (pow.f64 x #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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 (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 #s(literal 1 binary64) (cbrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(pow.f64 z #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 z) #s(literal -3 binary64))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(sqrt.f64 (pow.f64 z #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) z))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) z))))
(cbrt.f64 (pow.f64 z #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (neg.f64 (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) x))))
(cbrt.f64 (pow.f64 x #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))

simplify216.0ms (3.5%)

Algorithm
egg-herbie
Rules
746×fma-define
503×associate-/r*
338×associate-/l*
280×distribute-lft-neg-out
269×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03518589938597
16948589938513
221288589938501
Stop Event
node limit
Counts
220 → 187
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 z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(+.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 y (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (/.f64 y z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 y (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (/.f64 y z) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 y z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(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 2 binary64)) #s(literal 1/2 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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) #s(literal -1 binary64))
(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))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 x z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (/.f64 x z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 x z)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (/.f64 x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) x))
(*.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 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 x))
(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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(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 z #s(literal -3 binary64)) (pow.f64 x #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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 (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 #s(literal 1 binary64) (cbrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(pow.f64 z #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 z) #s(literal -3 binary64))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(sqrt.f64 (pow.f64 z #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) z))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) z))))
(cbrt.f64 (pow.f64 z #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (neg.f64 (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) x))))
(cbrt.f64 (pow.f64 x #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
Outputs
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
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(sqrt.f64 (pow.f64 z #s(literal -2 binary64)))
(pow.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 z #s(literal -3 binary64)))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) z)
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(sqrt.f64 (pow.f64 z #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) z)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) z)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) z))))
(/.f64 #s(literal 1 binary64) z)
(cbrt.f64 (pow.f64 z #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) z)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) z)
(exp.f64 (neg.f64 (log.f64 z)))
(/.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 z))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 z #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) z)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (cbrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) x)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 x #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal -3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) x)

eval187.0ms (3%)

Compiler

Compiled 3038 to 826 computations (72.8% saved)

prune43.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2750275
Fresh000
Picked022
Done044
Total2756281
Accuracy
100.0%
Counts
281 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.9%
(/.f64 (*.f64 y x) z)
49.4%
(/.f64 y (/.f64 z x))
95.4%
(+.f64 (/.f64 y (/.f64 z x)) x)
49.5%
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
49.5%
(*.f64 y (/.f64 x z))
51.2%
x
Compiler

Compiled 147 to 64 computations (56.5% saved)

regimes22.0ms (0.4%)

Counts
15 → 2
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 y x) z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (+.f64 y z) (/.f64 x z))
(+.f64 (*.f64 (/.f64 y z) x) x)
(+.f64 (/.f64 y (/.f64 z x)) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (+.f64 y z) (/.f64 z x))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 y z) x)
(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
(*.f64 (+.f64 y z) (log1p.f64 (expm1.f64 (/.f64 x z))))
Outputs
(+.f64 (/.f64 y (/.f64 z x)) x)
(fma.f64 x (/.f64 y z) x)
Calls

4 calls:

7.0ms
z
5.0ms
x
5.0ms
y
5.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
Results
AccuracySegmentsBranch
99.2%2x
99.3%3y
97.3%2z
99.1%3(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.2%)

Counts
8 → 2
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 y x) z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (+.f64 y z) (/.f64 x z))
(+.f64 (*.f64 (/.f64 y z) x) x)
Outputs
(*.f64 (+.f64 y z) (/.f64 x z))
(+.f64 (*.f64 (/.f64 y z) x) x)
Calls

3 calls:

3.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
98.1%3z
96.7%2y
94.7%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 y x) z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (+.f64 y z) (/.f64 x z))
Outputs
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
96.7%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 y x) z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
Outputs
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
Calls

3 calls:

4.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
94.7%1x
94.7%1z
94.7%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 y x) z)
Outputs
x
(*.f64 y (/.f64 x z))
x
Calls

3 calls:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
76.3%3y
78.4%3z
59.5%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

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

2 calls:

2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
71.7%3y
74.3%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
51.2%1x
51.2%1y
51.2%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch40.0ms (0.6%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
39.0ms
24870557635279104.0
404148391757538600.0
Results
3.0ms48×0valid
Compiler

Compiled 79 to 50 computations (36.7% saved)

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

bsearch2.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
24870557635279104.0
404148391757538600.0
Results
1.0ms16×0valid
Compiler

Compiled 38 to 25 computations (34.2% saved)

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

bsearch10.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
-4.951013905840953e+178
-8.208524835081073e+176
Results
6.0ms112×0valid
Compiler

Compiled 170 to 109 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (40.3% of total)
ival-add: 1.0ms (40.3% of total)
ival-mult: 1.0ms (40.3% 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
-4.951013905840953e+178
-8.208524835081073e+176
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 (39.8% of total)
ival-add: 1.0ms (39.8% of total)
ival-mult: 1.0ms (39.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.1745553460770084e-92
3.4379372677700525e-77
24.0ms
-5.26578087888549e+104
-1.2659775173245238e+103
Results
28.0ms272×0valid
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 (32.9% of total)
ival-add: 2.0ms (32.9% of total)
ival-mult: 2.0ms (32.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch67.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.1745553460770084e-92
3.4379372677700525e-77
52.0ms
-5.26578087888549e+104
-1.2659775173245238e+103
Results
15.0ms272×0valid
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 (31.6% of total)
ival-add: 2.0ms (31.6% of total)
ival-mult: 2.0ms (31.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
048429
167429
271429
372429
473429
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 (/.f64 y (/.f64 z x)) x) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 (/.f64 y (/.f64 z x)) x) (+.f64 (*.f64 (/.f64 y z) x) x))
(if (<=.f64 y #s(literal -3499999999999999913598586893680210049783519592891492081516320937046323656118467245627080050521477946453612456512474833245016252576811828060610340956549343704625006619132440870912 binary64)) (*.f64 (+.f64 y z) (/.f64 x z)) (+.f64 (*.f64 (/.f64 y z) x) x))
(if (<=.f64 y #s(literal -7500000000000000393285888356297127896605350115822293457924602932488546376065289147865717623165893211991543477312699133372009051260140433113799223470444267953862680295090583240704 binary64)) (*.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)))
(if (<=.f64 z #s(literal -14499999999999999232060110487494069226519752310431940000985809685934652296215473932382728884015213838336 binary64)) x (if (<=.f64 z #s(literal 8082958754095241/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (*.f64 y (/.f64 x z)) x))
(if (<=.f64 z #s(literal -14499999999999999232060110487494069226519752310431940000985809685934652296215473932382728884015213838336 binary64)) x (if (<=.f64 z #s(literal 1668739871813211/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (*.f64 x (/.f64 y z)) x))
x
Outputs
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 (/.f64 y (/.f64 z x)) x) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 x (/.f64 y (/.f64 z x))) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 (/.f64 y (/.f64 z x)) x) (+.f64 (*.f64 (/.f64 y z) x) x))
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 x (/.f64 y (/.f64 z x))) (+.f64 x (*.f64 x (/.f64 y z))))
(if (<=.f64 y #s(literal -3499999999999999913598586893680210049783519592891492081516320937046323656118467245627080050521477946453612456512474833245016252576811828060610340956549343704625006619132440870912 binary64)) (*.f64 (+.f64 y z) (/.f64 x z)) (+.f64 (*.f64 (/.f64 y z) x) x))
(if (<=.f64 y #s(literal -3499999999999999913598586893680210049783519592891492081516320937046323656118467245627080050521477946453612456512474833245016252576811828060610340956549343704625006619132440870912 binary64)) (*.f64 (+.f64 y z) (/.f64 x z)) (+.f64 x (*.f64 x (/.f64 y z))))
(if (<=.f64 y #s(literal -7500000000000000393285888356297127896605350115822293457924602932488546376065289147865717623165893211991543477312699133372009051260140433113799223470444267953862680295090583240704 binary64)) (*.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)))
(if (<=.f64 z #s(literal -14499999999999999232060110487494069226519752310431940000985809685934652296215473932382728884015213838336 binary64)) x (if (<=.f64 z #s(literal 8082958754095241/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (*.f64 y (/.f64 x z)) x))
(if (<=.f64 z #s(literal -14499999999999999232060110487494069226519752310431940000985809685934652296215473932382728884015213838336 binary64)) x (if (<=.f64 z #s(literal 1668739871813211/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (*.f64 x (/.f64 y z)) x))
x

soundness1.4s (22%)

Rules
1372×fma-define
946×log1p-expm1-u
854×prod-diff
702×log1p-expm1-u
702×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064815890
1156015187
2682015187
017128
1263128
23071128
036369
1117353
2318345
31015318
42926314
56081308
67171308
77269308
87365308
97491302
107705302
020198
1296196
24311196
Stop Event
done
node limit
node limit
node limit
node limit
Compiler

Compiled 588 to 199 computations (66.2% saved)

preprocess61.0ms (1%)

Compiler

Compiled 384 to 164 computations (57.3% saved)

end0.0ms (0%)

Profiling

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