Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B

Time bar (total: 3.7s)

analyze189.0ms (5.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
25%25%74.9%0.2%0%0%0%7
37.5%37.4%62.4%0.2%0%0%0%8
56.3%56.1%43.7%0.2%0%0%0%9
56.3%56.1%43.7%0.2%0%0%0%10
56.3%56.1%43.7%0.2%0%0%0%11
65.6%65.5%34.3%0.2%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 29.0ms (52.5% of total)
ival-div: 24.0ms (43.5% of total)
const: 1.0ms (1.8% of total)
backward-pass: 1.0ms (1.8% of total)

sample993.0ms (26.8%)

Results
563.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 278.0ms
ival-div: 144.0ms (51.8% of total)
ival-mult: 124.0ms (44.6% of total)
const: 8.0ms (2.9% of total)
backward-pass: 3.0ms (1.1% of total)
Bogosity

preprocess153.0ms (4.1%)

Algorithm
egg-herbie
Rules
768×fma-neg
546×unsub-neg
484×distribute-lft-neg-in
412×div-sub
399×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059656
1169380
2483368
31746368
44511368
57419368
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 x (/.f64 (*.f64 (/.f64 (neg.f64 y) z) t) t))
(*.f64 x (/.f64 (*.f64 (/.f64 y (neg.f64 z)) t) t))
(*.f64 x (/.f64 (*.f64 (/.f64 y z) (neg.f64 t)) (neg.f64 t)))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y z) t) t)))
(neg.f64 (*.f64 x (/.f64 (*.f64 (/.f64 (neg.f64 y) z) t) t)))
(neg.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y (neg.f64 z)) t) t)))
(neg.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y z) (neg.f64 t)) (neg.f64 t))))
(*.f64 y (/.f64 (*.f64 (/.f64 x z) t) t))
(*.f64 z (/.f64 (*.f64 (/.f64 y x) t) t))
(*.f64 t (/.f64 (*.f64 (/.f64 y z) x) x))
(*.f64 x (/.f64 (*.f64 (/.f64 z y) t) t))
(*.f64 x (/.f64 (*.f64 (/.f64 t z) y) y))
(*.f64 x (/.f64 (*.f64 (/.f64 y t) z) z))
Outputs
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 x (*.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 x (*.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 (*.f64 (/.f64 y z) (/.f64 t t)) (neg.f64 x))
(*.f64 (/.f64 y (neg.f64 z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 (*.f64 (/.f64 (neg.f64 y) z) t) t))
(*.f64 (*.f64 (/.f64 y z) (/.f64 t t)) (neg.f64 x))
(*.f64 (/.f64 y (neg.f64 z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 (*.f64 (/.f64 y (neg.f64 z)) t) t))
(*.f64 (*.f64 (/.f64 y z) (/.f64 t t)) (neg.f64 x))
(*.f64 (/.f64 y (neg.f64 z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 (*.f64 (/.f64 y z) (neg.f64 t)) (neg.f64 t)))
(*.f64 x (*.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y z) t) t)))
(*.f64 x (*.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(neg.f64 (*.f64 x (/.f64 (*.f64 (/.f64 (neg.f64 y) z) t) t)))
(*.f64 x (*.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(neg.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y (neg.f64 z)) t) t)))
(*.f64 x (*.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(neg.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y z) (neg.f64 t)) (neg.f64 t))))
(*.f64 (*.f64 (/.f64 y z) (/.f64 t t)) (neg.f64 x))
(*.f64 (/.f64 y (neg.f64 z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (/.f64 (*.f64 (/.f64 x z) t) t))
(*.f64 x (*.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 z (/.f64 (*.f64 (/.f64 y x) t) t))
(*.f64 z (*.f64 (/.f64 y x) (/.f64 t t)))
(*.f64 z (*.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 z (/.f64 y x))
(*.f64 t (/.f64 (*.f64 (/.f64 y z) x) x))
(*.f64 t (*.f64 (/.f64 y z) (/.f64 x x)))
(*.f64 t (/.f64 (*.f64 y #s(literal 1 binary64)) z))
(/.f64 (*.f64 y t) z)
(*.f64 t (/.f64 y z))
(*.f64 x (/.f64 (*.f64 (/.f64 z y) t) t))
(*.f64 x (*.f64 (/.f64 z y) (/.f64 t t)))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 x (/.f64 (*.f64 (/.f64 t z) y) y))
(*.f64 x (/.f64 (*.f64 y (/.f64 t z)) y))
(*.f64 (/.f64 t z) x)
(*.f64 t (/.f64 x z))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 (*.f64 (/.f64 y t) z) z))
(*.f64 x (*.f64 (/.f64 y t) (/.f64 z z)))
(*.f64 (/.f64 y t) x)
(*.f64 x (/.f64 y t))
Symmetry

(abs t)

(negabs x)

(negabs y)

(negabs z)

(sort x y)

explain68.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
480-1(3.597183978352248e-230 8.871280880500579e-133 2.0134452070923753e+87 1.0982167686085885e-95)(/.f64 (*.f64 (/.f64 y z) t) t)
200-0-(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
190-0-(*.f64 (/.f64 y z) t)
00-0-x
00-0-(/.f64 y z)
00-0-z
00-0-t
00-0-y
Results
44.0ms512×0valid
Compiler

Compiled 79 to 26 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 9.0ms (51% of total)
ival-mult: 8.0ms (45.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 23 to 11 computations (52.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
93.2%
(*.f64 y (/.f64 x z))
92.5%
(*.f64 x (/.f64 y z))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize38.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 y (/.f64 x z))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 x (/.f64 y z))
accuracy100.0%
(/.f64 x z)
accuracy93.2%
(*.f64 y (/.f64 x z))
accuracy100.0%
(/.f64 y z)
accuracy92.5%
(*.f64 x (/.f64 y z))
Rules
*-commutative
associate-*r/
associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01394
11994
21994
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
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
Results
22.0ms256×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (45.4% of total)
ival-mult: 4.0ms (45.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series84.0ms (2.3%)

Counts
4 → 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)>
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

30 calls:

TimeVariablePointExpression
72.0ms
x
@inf
(* x (/ y z))
1.0ms
y
@0
(/ y z)
1.0ms
y
@0
(* x (/ y z))
1.0ms
x
@0
(* x (/ y z))
1.0ms
z
@0
(* x (/ y z))

rewrite547.0ms (14.8%)

Algorithm
batch-egg-rewrite
Rules
781×unpow-prod-down
726×log1p-expm1-u
726×expm1-log1p-u
426×log-prod
181×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01370
115970
2221970
Stop Event
node limit
Counts
4 → 236
Calls
Call 1
Inputs
(*.f64 x (/.f64 y z))
(/.f64 y z)
(*.f64 y (/.f64 x z))
(/.f64 x z)
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 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 x y) z)
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) y) (neg.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))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.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 z (*.f64 x y)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #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)))
(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)))
(+.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 y (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.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 (cbrt.f64 (/.f64 y z)) (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y z))) #s(literal 2 binary64)))
(*.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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(*.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 (sqrt.f64 y) (pow.f64 (/.f64 (sqrt.f64 y) z) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (neg.f64 y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.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) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 (/.f64 (sqrt.f64 z) y) #s(literal -1 binary64)))
(*.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)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 y z))
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(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 (log.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64))) #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)))

simplify125.0ms (3.4%)

Algorithm
egg-herbie
Rules
792×times-frac
732×fma-define
301×unswap-sqr
244×exp-prod
195×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05256866
19696866
225356766
Stop Event
node limit
Counts
308 → 250
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)
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(/.f64 (*.f64 x y) z)
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(/.f64 (*.f64 x y) z)
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(/.f64 (*.f64 x y) z)
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(/.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))))
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(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 x y) z)
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) y) (neg.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))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.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 z (*.f64 x y)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #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)))
(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)))
(+.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 y (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.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 (cbrt.f64 (/.f64 y z)) (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y z))) #s(literal 2 binary64)))
(*.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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(*.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 (sqrt.f64 y) (pow.f64 (/.f64 (sqrt.f64 y) z) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (neg.f64 y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.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) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 (/.f64 (sqrt.f64 z) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
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(*.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)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 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 (cbrt.f64 y) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) z) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y z))) (cbrt.f64 (cbrt.f64 (/.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 y z)))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 1/3 binary64)))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal -1 binary64)))
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(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
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(pow.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
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(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)))
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(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)))
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(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
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(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
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(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)))
(+.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 x (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(*.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)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(*.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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(*.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 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.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) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x z))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x z))) (cbrt.f64 (cbrt.f64 (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (*.f64 (/.f64 x z) (sqrt.f64 (/.f64 x z))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 x z) (sqrt.f64 (/.f64 x z))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x z))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 z x)) (cbrt.f64 (/.f64 z x))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) #s(literal -1 binary64)))
(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 z x) #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 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 z x) #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 (log.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64))) #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)))
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))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(+.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 x (/.f64 z y))
(*.f64 x (/.f64 y z))
(/.f64 y (/.f64 z x))
(*.f64 x (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 (neg.f64 x) y) (neg.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))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.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 z (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(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))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(+.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) #s(literal -1 binary64))
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(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))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(+.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) #s(literal -1 binary64))
(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))
(+.f64 #s(literal 0 binary64) (/.f64 x z))
(/.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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(/.f64 x z)
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(/.f64 x z)
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(*.f64 (/.f64 x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 x z)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(/.f64 x z)
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) z) #s(literal 1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 x z)
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 1 binary64)))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 x z)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 x z)
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 1 binary64)))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 z) x) #s(literal -1 binary64)))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))
(/.f64 x z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(/.f64 x z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (/.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(/.f64 x z)
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(/.f64 x z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x z))
(/.f64 x z)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 z)) #s(literal 1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) x) #s(literal -1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) z) #s(literal 1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (/.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z)) #s(literal 1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z)) #s(literal 1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x z))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x z))) (cbrt.f64 (cbrt.f64 (/.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 x z) (sqrt.f64 (/.f64 x z))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 x z) (sqrt.f64 (/.f64 x z))) #s(literal 1/3 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) z)) (cbrt.f64 (*.f64 x (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x z))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x z))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 7 binary64)) (cbrt.f64 (/.f64 x z)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x z))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x z))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x z)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x z))) (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 z x)) (cbrt.f64 (/.f64 z x))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 z x)) (cbrt.f64 (/.f64 z x)))))
(/.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 (/.f64 z x)) (cbrt.f64 (/.f64 z x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z (cbrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 z) (cbrt.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (cbrt.f64 z) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (cbrt.f64 x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) #s(literal -2 binary64))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(/.f64 x z)
(pow.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64)))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(/.f64 x z)
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 x z)
(pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 x z)
(neg.f64 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))
(/.f64 x z)
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(/.f64 x z)
(log.f64 (exp.f64 (/.f64 x z)))
(/.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(/.f64 x z)
(cbrt.f64 (pow.f64 (/.f64 z x) #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)))
(/.f64 x z)
(exp.f64 (log.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(/.f64 x z)

eval33.0ms (0.9%)

Compiler

Compiled 3222 to 832 computations (74.2% saved)

prune44.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2464250
Fresh000
Picked022
Done000
Total2466252
Accuracy
100.0%
Counts
252 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.5%
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
89.8%
(/.f64 (*.f64 x y) z)
93.2%
(/.f64 y (/.f64 z x))
92.9%
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
93.2%
(*.f64 y (/.f64 x z))
92.5%
(*.f64 x (/.f64 y z))
Compiler

Compiled 60 to 42 computations (30% saved)

localize166.0ms (4.5%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 x (/.f64 y z))
cost-diff0
(cbrt.f64 (*.f64 x (/.f64 y z)))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) z)
cost-diff-12864
(/.f64 y (/.f64 z x))
cost-diff0
(/.f64 z x)
cost-diff-12864
(/.f64 x z)
cost-diff0
(sqrt.f64 (/.f64 x z))
cost-diff12864
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
cost-diff12864
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
accuracy100.0%
(/.f64 y z)
accuracy99.2%
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
accuracy92.5%
(*.f64 x (/.f64 y z))
accuracy67.5%
(cbrt.f64 (*.f64 x (/.f64 y z)))
accuracy100.0%
(*.f64 x y)
accuracy89.8%
(/.f64 (*.f64 x y) z)
accuracy100.0%
(/.f64 z x)
accuracy93.2%
(/.f64 y (/.f64 z x))
accuracy100.0%
(/.f64 x z)
accuracy99.4%
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
accuracy93.2%
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
accuracy77.9%
(sqrt.f64 (/.f64 x z))
Rules
*-commutative
associate-/l*
cube-mult
rem-square-sqrt
associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024338
131268
236268
338268
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
y
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 x z))
(/.f64 x z)
x
z
#s(literal 2 binary64)
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
#s(literal 3 binary64)
Outputs
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(/.f64 y (/.f64 z x))
y
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(/.f64 x z)
(sqrt.f64 (/.f64 x z))
(/.f64 x z)
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
x
z
#s(literal 2 binary64)
(/.f64 y (/.f64 z x))
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
y
(/.f64 z x)
z
x
(/.f64 (*.f64 x y) z)
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(/.f64 y (/.f64 z x))
(*.f64 x y)
(*.f64 y x)
x
y
z
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(/.f64 y (/.f64 z x))
(cbrt.f64 (*.f64 x (/.f64 y z)))
(cbrt.f64 (/.f64 y (/.f64 z x)))
(*.f64 x (/.f64 y z))
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(/.f64 y (/.f64 z x))
x
(/.f64 y z)
y
z
#s(literal 3 binary64)
Results
64.0ms256×0valid
Compiler

Compiled 78 to 19 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 9.0ms (31.3% of total)
ival-mult: 8.0ms (27.8% of total)
ival-pow: 7.0ms (24.4% of total)
ival-sqrt: 2.0ms (7% of total)
ival-cbrt: 2.0ms (7% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

series101.0ms (2.7%)

Counts
9 → 176
Calls
Call 1
Inputs
#<alt (sqrt.f64 (/.f64 x z))>
#<alt (*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))>
#<alt (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))>
#<alt (/.f64 y (/.f64 z x))>
#<alt (/.f64 z x)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x y)>
#<alt (cbrt.f64 (*.f64 x (/.f64 y z)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.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 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (cbrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.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 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.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 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) z))>
Calls

69 calls:

TimeVariablePointExpression
56.0ms
y
@-inf
(cbrt (* x (/ y z)))
7.0ms
y
@-inf
(pow (cbrt (* x (/ y z))) 3)
3.0ms
x
@-inf
(* y (pow (sqrt (/ x z)) 2))
2.0ms
x
@0
(/ z x)
2.0ms
x
@inf
(cbrt (* x (/ y z)))

rewrite174.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
735×log1p-expm1-u
735×expm1-log1p-u
723×log-prod
186×expm1-undefine
186×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024170
1337170
23448170
Stop Event
node limit
Counts
9 → 526
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 x z))
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(/.f64 y (/.f64 z x))
(/.f64 z x)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
(cbrt.f64 (*.f64 x (/.f64 y z)))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 x z)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 x z)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 x z))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 x z))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 x z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x z))) (cbrt.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (sqrt.f64 (/.f64 x z))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z x)))
(/.f64 (sqrt.f64 x) (sqrt.f64 z))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 z)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 z)))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (/.f64 x z) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 x z)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 x z)))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 x z))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(+.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))))
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(*.f64 (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 (/.f64 z x))))
(*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x (/.f64 z y)) #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 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.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)) y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y z)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (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 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) (sqrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 z x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.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 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z 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 z y))))
(*.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) z) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 z x)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 y (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 (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 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)))
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (/.f64 y z) (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 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 x)) (cbrt.f64 (/.f64 y z)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64))) (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) #s(literal 1 binary64)))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x y))))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 z x))
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 (/.f64 y (/.f64 z (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) (/.f64 z x)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 z 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 z y)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 z y)) #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 x z) #s(literal 3 binary64)) (pow.f64 y #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 y #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 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)))

simplify435.0ms (11.8%)

Algorithm
egg-herbie
Rules
563×cube-prod
518×exp-prod
387×associate-*r*
346×associate-*l*
281×fabs-mul
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062617367
1121916837
2481916837
Stop Event
node limit
Counts
702 → 345
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 x y) z)
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))
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(expm1.f64 (log1p.f64 (/.f64 x (/.f64 z y))))
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(exp.f64 (log.f64 (/.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 z 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)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 x (/.f64 z y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x (/.f64 z y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x (/.f64 z y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 x (/.f64 z y))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))))
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (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 #s(literal 1 binary64) (cbrt.f64 (/.f64 z (*.f64 x y))))
(/.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 z))
(/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 z x)))
(/.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (/.f64 z (neg.f64 x))))
(/.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (neg.f64 z)))
(pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (/.f64 x (/.f64 z y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 z y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(+.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 z y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 (/.f64 z x))))
(*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x (/.f64 z y)) #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 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.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)) y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y z)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (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 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) (sqrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 z x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.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 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z 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 z y))))
(*.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) z) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 z x)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 y (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 (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 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)))
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (/.f64 y z) (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 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 x)) (cbrt.f64 (/.f64 y z)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x (/.f64 z y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64))) (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/6 binary64)))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) #s(literal 1 binary64)))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x y))))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 z x))
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 (/.f64 y (/.f64 z (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) (/.f64 z x)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 z 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 z y)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 z y)) #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 x z) #s(literal 3 binary64)) (pow.f64 y #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 y #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 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)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 x z))
(*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 (/.f64 x z)))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
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eval118.0ms (3.2%)

Compiler

Compiled 7851 to 2093 computations (73.3% saved)

prune87.0ms (2.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New5950595
Fresh000
Picked044
Done022
Total5956601
Accuracy
100.0%
Counts
601 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.5%
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
89.8%
(/.f64 (*.f64 x y) z)
93.2%
(/.f64 y (/.f64 z x))
92.9%
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
93.2%
(*.f64 y (/.f64 x z))
92.5%
(*.f64 x (/.f64 y z))
Compiler

Compiled 109 to 64 computations (41.3% saved)

regimes31.0ms (0.8%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
Outputs
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
Calls

7 calls:

14.0ms
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
3.0ms
x
3.0ms
y
3.0ms
t
3.0ms
z
Results
AccuracySegmentsBranch
95.6%2x
96.5%3y
99.8%2z
93.2%1t
99.8%2(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
99.8%2(/.f64 (*.f64 (/.f64 y z) t) t)
99.8%2(/.f64 y z)
Compiler

Compiled 51 to 36 computations (29.4% saved)

regimes7.0ms (0.2%)

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

5 calls:

2.0ms
z
1.0ms
t
1.0ms
y
1.0ms
x
1.0ms
(/.f64 y z)
Results
AccuracySegmentsBranch
92.5%1t
92.5%1y
92.5%1x
92.5%1z
92.5%1(/.f64 y z)
Compiler

Compiled 27 to 21 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.0268112753232294e+210
8.129891483402418e+216
Compiler

Compiled 20 to 14 computations (30% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01987
12187
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 y z) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (*.f64 x (/.f64 y z)) (*.f64 y (/.f64 x z)))
(*.f64 x (/.f64 y z))
Outputs
(if (<=.f64 (/.f64 y z) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (*.f64 x (/.f64 y z)) (*.f64 y (/.f64 x z)))
(if (<=.f64 (/.f64 y z) #s(literal 4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (*.f64 (/.f64 y z) x) (*.f64 y (/.f64 x z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) x)

soundness230.0ms (6.2%)

Rules
768×fma-neg
546×unsub-neg
484×distribute-lft-neg-in
412×div-sub
399×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059656
1169380
2483368
31746368
44511368
57419368
Stop Event
done
node limit
Compiler

Compiled 126 to 50 computations (60.3% saved)

preprocess70.0ms (1.9%)

Remove

(abs t)

Compiler

Compiled 934 to 482 computations (48.4% saved)

end0.0ms (0%)

Profiling

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