Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, A

Time bar (total: 3.9s)

analyze36.0ms (0.9%)

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 9 to 6 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (60.4% of total)
ival-div: 3.0ms (36.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample820.0ms (21.1%)

Results
547.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-mult: 84.0ms (52.1% of total)
ival-div: 68.0ms (42.2% of total)
const: 7.0ms (4.3% of total)
backward-pass: 3.0ms (1.9% of total)
Bogosity

preprocess115.0ms (3%)

Algorithm
egg-herbie
Rules
784×fma-define
409×times-frac
134×fma-neg
95×distribute-lft-in
92×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029254
167254
2152254
3496254
41288254
52331254
62890254
72908254
82964254
93020254
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 (neg.f64 x) y) z)
(/.f64 (*.f64 x (neg.f64 y)) z)
(/.f64 (*.f64 x y) (neg.f64 z))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) z))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 z y) x)
(/.f64 (*.f64 x z) y)
Outputs
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 (neg.f64 y) (/.f64 x z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 (neg.f64 y) (/.f64 x z))
(/.f64 (*.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 (neg.f64 y) (/.f64 x z))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 z y) x)
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

explain180.0ms (4.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-1(1.4391129046645994e-246 8.364590475542089e-73 1.5645598129881352e-223)(/.f64 (*.f64 x y) z)
00-0-(*.f64 x y)
00-0-x
00-0-z
00-0-y
Results
28.0ms512×0valid
Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (54.1% of total)
ival-div: 4.0ms (43.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 7 computations (46.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
92.3%
(/.f64 (*.f64 x y) z)
92.1%
(*.f64 y (/.f64 x z))
90.5%
(*.f64 x (/.f64 y z))
Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) 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))
Rules
*-commutative
associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015141
119141
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
(*.f64 y (/.f64 x z))
y
(/.f64 x z)
x
z
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
Outputs
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
y
(/.f64 x z)
x
z
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 x y)
x
y
z

localize197.0ms (5.1%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy92.3%
(/.f64 (*.f64 x y) z)
accuracy100.0%
(/.f64 x z)
accuracy92.1%
(*.f64 y (/.f64 x z))
accuracy100.0%
(/.f64 y z)
accuracy90.5%
(*.f64 x (/.f64 y z))
Results
30.0ms256×0valid
Compiler

Compiled 37 to 10 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 5.0ms (45.1% of total)
ival-mult: 5.0ms (45.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.4%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (*.f64 x (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x y)>
Outputs
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
Calls

45 calls:

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

rewrite354.0ms (9.1%)

Algorithm
batch-egg-rewrite
Rules
853×log1p-expm1-u
853×expm1-log1p-u
527×log-prod
226×pow-unpow
142×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015105
1204105
22340105
Stop Event
node limit
Counts
6 → 266
Calls
Call 1
Inputs
(*.f64 x (/.f64 y z))
(/.f64 y z)
(*.f64 y (/.f64 x z))
(/.f64 x z)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
Outputs
(+.f64 #s(literal 0 binary64) (*.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 y z)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) 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 x (neg.f64 y)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z x) y)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (*.f64 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 (/.f64 z x) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 z x) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))
(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 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y z))) (cbrt.f64 (exp.f64 (/.f64 y z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 (/.f64 y z) (log.f64 (exp.f64 #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))
(pow.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #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)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.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 y z)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) 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 x (neg.f64 y)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z x) y)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (*.f64 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 (/.f64 z x) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 z x) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))
(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 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #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 (/.f64 x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(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 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 y z)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (*.f64 x (/.f64 y z)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (*.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 (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 x z)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.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 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 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 (*.f64 y (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 x z)))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 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 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 (/.f64 z x) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 z x) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))
(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 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))

simplify138.0ms (3.5%)

Algorithm
egg-herbie
Rules
372×distribute-lft-neg-out
365×exp-prod
346×cube-prod
310×distribute-rgt-neg-out
236×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04277518
18557470
230827470
Stop Event
node limit
Counts
338 → 223
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 (*.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 #s(literal 0 binary64) (*.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 y z)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) 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 x (neg.f64 y)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z x) y)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (*.f64 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 (/.f64 z x) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 z x) y) #s(literal 1 binary64)) #s(literal -1 binary64))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
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 (*.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 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(*.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 (*.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 y z)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(*.f64 x (/.f64 y z))
(/.f64 y (/.f64 z x))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(*.f64 x (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 z x) y) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(*.f64 x (/.f64 y z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z x) y)))
(*.f64 x (/.f64 y z))
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 z)))
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 x (/.f64 y z))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(*.f64 x (/.f64 y z))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y 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))
(pow.f64 (/.f64 (/.f64 (/.f64 z x) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(*.f64 x (/.f64 y z))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(*.f64 x (/.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))
(*.f64 x (/.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(*.f64 x (/.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 y z)))) #s(literal 1/3 binary64)))
(*.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64)))
(*.f64 x (/.f64 y z))
(+.f64 #s(literal 0 binary64) (/.f64 y z))
(/.f64 y z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y z))) (cbrt.f64 (exp.f64 (/.f64 y z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(/.f64 y z)
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(/.f64 y z)
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(*.f64 (/.f64 y z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 y z)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(/.f64 y z)
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(/.f64 y z)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(/.f64 (/.f64 y (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (sqrt.f64 z))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(/.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)) (cbrt.f64 (/.f64 y z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (sqrt.f64 z))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(/.f64 y z)
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(/.f64 (/.f64 y (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(/.f64 y z)
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y z)
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(/.f64 y z)
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 y z)
(pow.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 y (neg.f64 z)))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(/.f64 y z)
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(/.f64 y z)
(log.f64 (exp.f64 (/.f64 y z)))
(/.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(/.f64 y z)
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(/.f64 y z)
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 y z)
(expm1.f64 (log1p.f64 (/.f64 y z)))
(/.f64 y z)
(log1p.f64 (expm1.f64 (/.f64 y z)))
(/.f64 y z)
(exp.f64 (log.f64 (/.f64 y z)))
(/.f64 y z)
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(/.f64 y z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y z))) #s(literal 3 binary64)))
(/.f64 y z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 y z))) #s(literal 1/3 binary64)))
(/.f64 y z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y z))) #s(literal 2 binary64)))
(/.f64 y z)
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(/.f64 y z)
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(*.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 (*.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 y z)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
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(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 y z)))) #s(literal 1/3 binary64)))
(*.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64)))
(*.f64 x (/.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 x y)

eval28.0ms (0.7%)

Compiler

Compiled 2244 to 583 computations (74% saved)

prune109.0ms (2.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2194223
Fresh000
Picked033
Done000
Total2197226
Accuracy
100.0%
Counts
226 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.0%
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
92.3%
(/.f64 (*.f64 x y) z)
92.0%
(/.f64 y (/.f64 z x))
91.3%
(/.f64 x (/.f64 z y))
92.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
92.1%
(*.f64 y (/.f64 x z))
90.5%
(*.f64 x (/.f64 y z))
Compiler

Compiled 62 to 39 computations (37.1% saved)

simplify22.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) (sqrt.f64 z))
cost-diff12928
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
cost-diff0
(/.f64 z x)
cost-diff0
(/.f64 y (/.f64 z x))
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 x (/.f64 z y))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
Rules
40×associate-*r*
36×times-frac
36×associate-*l*
26×associate-/r*
20×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021257
140233
265233
3112233
4184233
5273233
6278233
7282233
8289233
9300233
10304233
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 x y)
x
y
(/.f64 x (/.f64 z y))
x
(/.f64 z y)
z
y
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 x y) (sqrt.f64 z))
(*.f64 x y)
x
y
(sqrt.f64 z)
z
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 x (/.f64 y z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 x y)
x
y
(/.f64 x (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 x (/.f64 y z))
x
(/.f64 z y)
z
y
(/.f64 y (/.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 x (/.f64 y z))
y
(/.f64 z x)
z
x
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) (sqrt.f64 z))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 x y)
x
y
(sqrt.f64 z)
z

localize58.0ms (1.5%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(sqrt.f64 z)
accuracy97.3%
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
accuracy94.7%
(/.f64 (*.f64 x y) (sqrt.f64 z))
accuracy100.0%
(/.f64 z x)
accuracy92.0%
(/.f64 y (/.f64 z x))
accuracy100.0%
(/.f64 z y)
accuracy91.3%
(/.f64 x (/.f64 z y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 x y)
accuracy92.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
Results
41.0ms256×0valid
Compiler

Compiled 66 to 15 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 13.0ms (67.4% of total)
ival-mult: 4.0ms (20.7% of total)
ival-sqrt: 2.0ms (10.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series178.0ms (4.6%)

Counts
9 → 184
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 x (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (/.f64 y (/.f64 z x))>
#<alt (/.f64 z x)>
#<alt (/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))>
#<alt (/.f64 (*.f64 x y) (sqrt.f64 z))>
#<alt (sqrt.f64 z)>
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 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

63 calls:

TimeVariablePointExpression
154.0ms
z
@-inf
(sqrt z)
2.0ms
y
@0
(/ z y)
1.0ms
z
@-inf
(/ (/ (* x y) (sqrt z)) (sqrt z))
1.0ms
x
@0
(/ (* x y) (sqrt z))
1.0ms
z
@-inf
(/ (* x y) (sqrt z))

rewrite319.0ms (8.2%)

Algorithm
batch-egg-rewrite
Rules
922×log1p-expm1-u
922×expm1-log1p-u
154×times-frac
141×prod-diff
129×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021158
1315158
24513158
Stop Event
node limit
Counts
9 → 563
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(/.f64 #s(literal 1 binary64) z)
(/.f64 x (/.f64 z y))
(/.f64 z y)
(/.f64 y (/.f64 z x))
(/.f64 z x)
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 x y) (sqrt.f64 z))
(sqrt.f64 z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.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 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z x) y)))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(/.f64 (neg.f64 x) (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 x (neg.f64 (/.f64 y (sqrt.f64 z)))) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 z y))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 z x))
(/.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 x (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(/.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(/.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 (/.f64 z x) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 x (/.f64 z (neg.f64 y))))
(neg.f64 (/.f64 y (/.f64 z (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 (/.f64 y (sqrt.f64 z)))) (sqrt.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 z y)))
(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 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 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z 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)))
(-.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 z) #s(literal -1 binary64)))
(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 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 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))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) 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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 y z))
(*.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (*.f64 x 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 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (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 (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (/.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.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 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 y))))
(*.f64 (*.f64 x (neg.f64 (/.f64 y (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x z) y)
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 x (/.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 (*.f64 x y) (cbrt.f64 z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 (/.f64 y (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (/.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z)) (cbrt.f64 z)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (cbrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z x))) (/.f64 y (sqrt.f64 (/.f64 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 (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) #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 (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 (/.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 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (*.f64 x y) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 y))
(*.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 (/.f64 z x) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 x (/.f64 z (neg.f64 y))))
(neg.f64 (/.f64 y (/.f64 z (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 (/.f64 y (sqrt.f64 z)))) (sqrt.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 z y)))
(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 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 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
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(*.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) x)
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(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 y))
(*.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))
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(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
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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)))
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(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
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(*.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
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(*.f64 (/.f64 y (sqrt.f64 z)) x)
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(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 x (/.f64 y z))))
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(pow.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))
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(sqrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
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(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))

simplify314.0ms (8.1%)

Algorithm
egg-herbie
Rules
674×cube-prod
633×exp-prod
437×times-frac
400×fma-define
355×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062219409
1137118855
2558518785
Stop Event
node limit
Counts
747 → 362
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)
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(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 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 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z 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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y (sqrt.f64 z))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (sqrt.f64 z))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 y (/.f64 x (sqrt.f64 z)))
(*.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 x y) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z)) (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 x y))
(*.f64 (/.f64 y (sqrt.f64 z)) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 x (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 y (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64))) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 z)) (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 z #s(literal 1/4 binary64))))
(pow.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (*.f64 x y)) #s(literal -1 binary64))
(neg.f64 (*.f64 x (neg.f64 (/.f64 y (sqrt.f64 z)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.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)
(*.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)
(*.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 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (/.f64 y z))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
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(*.f64 x (/.f64 y (sqrt.f64 z)))
(pow.f64 (/.f64 (sqrt.f64 z) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 x y))
(neg.f64 (*.f64 x (neg.f64 (/.f64 y (sqrt.f64 z)))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y (sqrt.f64 z))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y (sqrt.f64 z))))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(+.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(exp.f64 (log.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(log.f64 (exp.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (log.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)

eval50.0ms (1.3%)

Compiler

Compiled 5012 to 1043 computations (79.2% saved)

prune69.0ms (1.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4341435
Fresh000
Picked134
Done033
Total4357442
Accuracy
100.0%
Counts
442 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.0%
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
92.3%
(/.f64 (*.f64 x y) z)
92.0%
(/.f64 y (/.f64 z x))
91.3%
(/.f64 x (/.f64 z y))
92.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
92.1%
(*.f64 y (/.f64 x z))
90.5%
(*.f64 x (/.f64 y z))
Compiler

Compiled 60 to 39 computations (35% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x z)
cost-diff128
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
Rules
associate-*l/
associate-/l/
associate-/r*
*-commutative
times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01364
12358
23258
35158
46558
56658
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 x z)
x
z
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
Outputs
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 x z) y)
(/.f64 x (/.f64 z y))
(*.f64 x (/.f64 y z))
(/.f64 x z)
x
z
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y

localize23.0ms (0.6%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy92.0%
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
Results
17.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 6.0ms (96.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
Outputs
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
Calls

12 calls:

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

rewrite157.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
779×unpow-prod-down
757×log1p-expm1-u
757×expm1-log1p-u
417×log-prod
146×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01338
115232
2210932
Stop Event
node limit
Counts
2 → 167
Calls
Call 1
Inputs
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(+.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 z y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 x (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)))
(*.f64 (/.f64 x z) y)
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (/.f64 z y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) (pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.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 x z)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 (/.f64 x z)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) (sqrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 (/.f64 x z)) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 x z)) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (neg.f64 z)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 x z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (/.f64 z y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (*.f64 (/.f64 x (/.f64 z y)) (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 x (/.f64 z y)) (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 2 binary64)) (/.f64 x z)) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 (/.f64 x z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x z))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 x z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 x z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (/.f64 x z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (sqrt.f64 (/.f64 x z))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (sqrt.f64 (/.f64 x z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 x z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x z))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 z y)) #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 z y)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64)) (pow.f64 y #s(literal -3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (/.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x (/.f64 z y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 x (/.f64 z y)))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal -3 binary64))
(pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(sqrt.f64 (pow.f64 y #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) y))))
(cbrt.f64 (pow.f64 y #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64)))

simplify97.0ms (2.5%)

Algorithm
egg-herbie
Rules
578×fma-define
450×associate-/r/
262×exp-prod
201×distribute-lft-neg-in
199×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04564294972362
19134294972296
228054294972255
Stop Event
node limit
Counts
203 → 204
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 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(+.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 z y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 x (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)))
(*.f64 (/.f64 x z) y)
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (/.f64 z y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) (pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.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 x z)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 (/.f64 x z)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) (sqrt.f64 (/.f64 x (/.f64 z y))))
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(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) y))))
(cbrt.f64 (pow.f64 y #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64)))
Outputs
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(*.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 (*.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 y) (/.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x 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 x (/.f64 z y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y z))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (/.f64 y z))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 x (/.f64 y z))
(*.f64 x (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 x (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 x (/.f64 y z))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x (/.f64 z y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) (pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.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 x z)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 (/.f64 x z)) y) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) (sqrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (/.f64 x z)) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.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 x z)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 x z)) y) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x (neg.f64 z)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (cbrt.f64 x) z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 x) z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 x z)) #s(literal -1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal -1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(*.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))
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) z) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 y))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (/.f64 z y)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 x (/.f64 z y)) (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 x (/.f64 z y)) (sqrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 2 binary64)) (/.f64 x z)) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 (/.f64 x z) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 1/3 binary64)))
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eval32.0ms (0.8%)

Compiler

Compiled 3540 to 758 computations (78.6% saved)

prune38.0ms (1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New2570257
Fresh000
Picked011
Done066
Total2577264
Accuracy
100.0%
Counts
264 → 7
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StatusAccuracyProgram
92.0%
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
92.3%
(/.f64 (*.f64 x y) z)
92.0%
(/.f64 y (/.f64 z x))
91.3%
(/.f64 x (/.f64 z y))
92.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
92.1%
(*.f64 y (/.f64 x z))
90.5%
(*.f64 x (/.f64 y z))
Compiler

Compiled 111 to 60 computations (45.9% saved)

regimes16.0ms (0.4%)

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

5 calls:

4.0ms
x
3.0ms
y
3.0ms
z
3.0ms
(*.f64 x y)
3.0ms
(/.f64 (*.f64 x y) z)
Results
AccuracySegmentsBranch
96.0%2x
96.1%2y
99.7%2z
99.7%2(/.f64 (*.f64 x y) z)
99.8%3(*.f64 x y)
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes2.0ms (0.1%)

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

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
99.7%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
99.7%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
90.5%1x
90.5%1y
90.5%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.901438884141321e+29
4.668266119164357e+32
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch10.0ms (0.3%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
9.0ms
1.60764361223719e+51
6.132334189667969e+52
Results
5.0ms112×0valid
Compiler

Compiled 140 to 94 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (54.6% of total)
ival-mult: 1.0ms (54.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.3%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
11.0ms
6.624354526094619e-35
1.2308432997049225e-25
Results
7.0ms144×0valid
Compiler

Compiled 176 to 118 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (40.2% of total)
ival-mult: 1.0ms (40.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031208
134208
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 500000000000000009942312419328 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x)))
(if (<=.f64 z #s(literal 4200000000000000237373583589302012081900587512233984 binary64)) (*.f64 y (/.f64 x z)) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 6132704929595921/2787593149816327892691964784081045188247552 binary64)) (*.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))
Outputs
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 500000000000000009942312419328 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x)))
(if (<=.f64 z #s(literal 4200000000000000237373583589302012081900587512233984 binary64)) (*.f64 y (/.f64 x z)) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 6132704929595921/2787593149816327892691964784081045188247552 binary64)) (*.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))

soundness387.0ms (9.9%)

Rules
853×log1p-expm1-u
853×expm1-log1p-u
784×fma-define
527×log-prod
409×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015105
1204105
22340105
029254
167254
2152254
3496254
41288254
52331254
62890254
72908254
82964254
93020254
Stop Event
done
saturated
node limit
Compiler

Compiled 140 to 64 computations (54.3% saved)

preprocess88.0ms (2.3%)

Compiler

Compiled 512 to 276 computations (46.1% saved)

end0.0ms (0%)

Profiling

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