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

Time bar (total: 4.0s)

analyze249.0ms (6.3%)

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: 52.0ms
ival-mult: 31.0ms (59.6% of total)
ival-div: 19.0ms (36.5% of total)
const: 1.0ms (1.9% of total)
backward-pass: 1.0ms (1.9% of total)

sample1.5s (37.7%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 436.0ms
ival-div: 302.0ms (69.3% of total)
ival-mult: 123.0ms (28.2% of total)
const: 8.0ms (1.8% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess114.0ms (2.9%)

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)

explain85.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
450-1(3.1994922197823774e-180 1.2613274709452533e-82 1.1323513713227588e-38 3.167408014149975e-271)(/.f64 (*.f64 (/.f64 y z) t) t)
210-0-(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
190-1(2.3505785524466132e-242 1.4220268625687737e-241 9.864724095953251e+81 3.568315039542605e+76)(*.f64 (/.f64 y z) t)
00-0-x
00-0-(/.f64 y z)
00-0-z
00-0-t
00-0-y
Results
59.0ms512×0valid
Compiler

Compiled 79 to 26 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 16.0ms (59.9% of total)
ival-mult: 10.0ms (37.4% of total)
const: 1.0ms (3.7% 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
94.1%
(*.f64 y (/.f64 x z))
92.0%
(*.f64 x (/.f64 y z))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 4 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))
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

localize33.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x z)
accuracy94.1%
(*.f64 y (/.f64 x z))
accuracy100.0%
(/.f64 y z)
accuracy92.0%
(*.f64 x (/.f64 y z))
Results
24.0ms256×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.4% of total)
ival-mult: 4.0ms (48.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.3%)

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

rewrite533.0ms (13.4%)

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)))
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(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)))

simplify122.0ms (3.1%)

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)
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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))
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(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)))
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(*.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)))
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(*.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)))
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(*.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)))
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(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
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(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 y z))
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(*.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)))
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(*.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)))
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(*.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)))
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(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
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(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 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))
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(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))
(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)

eval34.0ms (0.9%)

Compiler

Compiled 3222 to 832 computations (74.2% saved)

prune40.0ms (1%)

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
92.7%
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
93.1%
(/.f64 (*.f64 x y) z)
92.7%
(/.f64 x (/.f64 z y))
93.8%
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
94.1%
(*.f64 y (/.f64 x z))
92.0%
(*.f64 x (/.f64 y z))
Compiler

Compiled 61 to 41 computations (32.8% saved)

simplify23.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) (sqrt.f64 z))
cost-diff12928
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) z)
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 x (/.f64 z y))
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)))
Rules
*-commutative
associate-/l*
associate-/r*
rem-square-sqrt
times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022313
132253
245253
353253
455253
557253
657253
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 x (/.f64 z y))
x
(/.f64 z y)
z
y
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 x y) (sqrt.f64 z))
(*.f64 x y)
x
y
(sqrt.f64 z)
z
Outputs
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
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 x (/.f64 z y))
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
x
(/.f64 z y)
z
y
(/.f64 (*.f64 x y) z)
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 x y)
(*.f64 y x)
x
y
z
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) (sqrt.f64 z))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 y (/.f64 x (sqrt.f64 z)))
(*.f64 x y)
(*.f64 y x)
x
y
(sqrt.f64 z)
z

localize119.0ms (3%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(sqrt.f64 z)
accuracy97.0%
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
accuracy95.7%
(/.f64 (*.f64 x y) (sqrt.f64 z))
accuracy100.0%
(*.f64 x y)
accuracy93.1%
(/.f64 (*.f64 x y) z)
accuracy100.0%
(/.f64 z y)
accuracy92.7%
(/.f64 x (/.f64 z y))
accuracy100.0%
(/.f64 x z)
accuracy99.4%
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
accuracy94.1%
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
accuracy81.0%
(sqrt.f64 (/.f64 x z))
Results
101.0ms256×0valid
Compiler

Compiled 75 to 17 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 11.0ms (45% of total)
ival-mult: 6.0ms (24.5% of total)
ival-sqrt: 4.0ms (16.3% of total)
ival-pow: 3.0ms (12.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.7%)

Counts
10 → 180
Calls
Call 1
Inputs
#<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 (sqrt.f64 (/.f64 x z))>
#<alt (/.f64 x (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x y)>
#<alt (/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))>
#<alt (/.f64 (*.f64 x y) (sqrt.f64 z))>
#<alt (sqrt.f64 z)>
Outputs
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #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 #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 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

72 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(* y (pow (sqrt (/ x z)) 2))
2.0ms
y
@0
(/ (* x y) (sqrt z))
1.0ms
x
@-inf
(* y (pow (sqrt (/ x z)) 2))
1.0ms
z
@-inf
(/ (* x y) (sqrt z))
1.0ms
x
@0
(/ (* x y) (sqrt z))

rewrite184.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
862×log1p-expm1-u
862×expm1-log1p-u
200×expm1-undefine
200×log1p-undefine
147×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022178
1327178
24046178
Stop Event
node limit
Counts
10 → 543
Calls
Call 1
Inputs
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 x z))
(/.f64 x (/.f64 z y))
(/.f64 z y)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 x y) (sqrt.f64 z))
(sqrt.f64 z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 y (/.f64 z x))
(/.f64 x (/.f64 z y))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 z y) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 y (sqrt.f64 z))) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 (sqrt.f64 z) y) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z y) x)))
(/.f64 (*.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y (neg.f64 x))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 z y))
(/.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (/.f64 z (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 z y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 y (sqrt.f64 z))) (sqrt.f64 z)))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
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(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 (*.f64 y x) (cbrt.f64 z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) (cbrt.f64 z)) (cbrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (cbrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 y))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 (*.f64 y (cbrt.f64 (pow.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))
(pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (/.f64 z (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 z y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 y (sqrt.f64 z))) (sqrt.f64 z)))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x (sqrt.f64 z))))) #s(literal 1 binary64))
(*.f64 y (/.f64 x (sqrt.f64 z)))
(*.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y x))
(*.f64 (/.f64 y (sqrt.f64 z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 y x) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 y x) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 x (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64))) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 y (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 z)) (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 z))))
(pow.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 y (sqrt.f64 z))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z))
(log.f64 (exp.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))

simplify254.0ms (6.4%)

Algorithm
egg-herbie
Rules
790×cube-prod
761×exp-prod
573×times-frac
482×fma-define
433×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063919175
1132718181
2603818111
Stop Event
node limit
Counts
723 → 395
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 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(*.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)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 y x) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 x z)) y))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) (/.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) (*.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (/.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (*.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 (sqrt.f64 (*.f64 y x)) z))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 y))))
(*.f64 (*.f64 (neg.f64 x) (/.f64 y (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 y z) x)
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y (/.f64 x (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (/.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 (/.f64 y (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (*.f64 y x) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y x)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 (*.f64 y x) (cbrt.f64 z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) (cbrt.f64 z)) (cbrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (cbrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 y))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 (*.f64 y (cbrt.f64 (pow.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))
(pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (/.f64 z (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 z y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 y (sqrt.f64 z))) (sqrt.f64 z)))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x (sqrt.f64 z))))) #s(literal 1 binary64))
(*.f64 y (/.f64 x (sqrt.f64 z)))
(*.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y x))
(*.f64 (/.f64 y (sqrt.f64 z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 y x) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 y x) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 x (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64))) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 y (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 z)) (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 z))))
(pow.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 y (sqrt.f64 z))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z))
(log.f64 (exp.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 #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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(*.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
(*.f64 x (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
(*.f64 x (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (sqrt.f64 z))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z)) (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z)) (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z)) (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
(*.f64 x (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y (sqrt.f64 z))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 z))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
(*.f64 x (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y x))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
(*.f64 x (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (sqrt.f64 z)) x)
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 y x) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (*.f64 y (/.f64 x (cbrt.f64 (sqrt.f64 z)))))
(*.f64 x (/.f64 (/.f64 y (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 y x) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (sqrt.f64 z)))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 x (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (*.f64 y (/.f64 x (cbrt.f64 (sqrt.f64 z)))))
(*.f64 x (/.f64 (/.f64 y (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 z)))
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64))) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (sqrt.f64 z)))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 y (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (*.f64 y (/.f64 x (cbrt.f64 (sqrt.f64 z)))))
(*.f64 x (/.f64 (/.f64 y (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 z)) (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z))))) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 x z))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (*.f64 y (/.f64 x (cbrt.f64 (sqrt.f64 z)))))
(*.f64 x (/.f64 (/.f64 y (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 z)))
(pow.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) #s(literal 3 binary64))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) #s(literal 2 binary64))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 x y))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 y (sqrt.f64 z))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z))
(log.f64 (exp.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x (sqrt.f64 z))))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))))
(+.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(exp.f64 (log.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x (sqrt.f64 z)))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y (sqrt.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(log.f64 (exp.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (log.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)

eval68.0ms (1.7%)

Compiler

Compiled 6766 to 1628 computations (75.9% saved)

prune92.0ms (2.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New5470547
Fresh000
Picked044
Done022
Total5476553
Accuracy
100.0%
Counts
553 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
93.1%
(/.f64 (*.f64 x y) z)
92.7%
(/.f64 x (/.f64 z y))
93.8%
(*.f64 y (pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
94.1%
(*.f64 y (/.f64 x z))
92.0%
(*.f64 x (/.f64 y z))
Compiler

Compiled 111 to 63 computations (43.2% saved)

regimes21.0ms (0.5%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 x (/.f64 z y))
(/.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)))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
Outputs
(/.f64 x (/.f64 z y))
(*.f64 y (/.f64 x z))
Calls

7 calls:

3.0ms
z
3.0ms
y
3.0ms
t
3.0ms
x
3.0ms
(/.f64 y z)
Results
AccuracySegmentsBranch
96.4%2x
96.5%2y
99.8%2z
96.5%2t
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)

regimes2.0ms (0%)

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

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
99.8%2z
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (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:

3.0ms
t
1.0ms
z
1.0ms
y
1.0ms
x
1.0ms
(/.f64 y z)
Results
AccuracySegmentsBranch
92.0%1x
92.0%1y
92.0%1t
92.0%1(/.f64 y z)
92.0%1z
Compiler

Compiled 27 to 21 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.571208208358534e+214
1.2047974684339804e+215
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch7.0ms (0.2%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
6.0ms
2.393362328697013e+32
9.40343522321148e+32
Results
4.0ms64×0valid
Compiler

Compiled 100 to 70 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (52.7% of total)
ival-mult: 1.0ms (52.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028161
131161
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 (/.f64 y z) t) t) #s(literal 19999999999999999088892533902972076246934850801638156521986428846179361036904542766447520422260841212068416615187889431415480256613826681172330695228837644621737717981917473931530878670755986842785085156555654955008 binary64)) (/.f64 x (/.f64 z y)) (*.f64 y (/.f64 x z)))
(if (<=.f64 z #s(literal 499999999999999972787615493521408 binary64)) (*.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))
Outputs
(if (<=.f64 (/.f64 (*.f64 (/.f64 y z) t) t) #s(literal 19999999999999999088892533902972076246934850801638156521986428846179361036904542766447520422260841212068416615187889431415480256613826681172330695228837644621737717981917473931530878670755986842785085156555654955008 binary64)) (/.f64 x (/.f64 z y)) (*.f64 y (/.f64 x z)))
(if (<=.f64 z #s(literal 499999999999999972787615493521408 binary64)) (*.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z)))
(if (<=.f64 z #s(literal 499999999999999972787615493521408 binary64)) (*.f64 y (/.f64 x z)) (*.f64 (/.f64 y z) x))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) x)

soundness351.0ms (8.8%)

Rules
781×unpow-prod-down
768×fma-neg
726×log1p-expm1-u
726×expm1-log1p-u
546×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059656
1169380
2483368
31746368
44511368
57419368
01370
115970
2221970
Stop Event
done
node limit
node limit
Compiler

Compiled 165 to 68 computations (58.8% saved)

preprocess89.0ms (2.2%)

Remove

(abs t)

Compiler

Compiled 1114 to 604 computations (45.8% saved)

end0.0ms (0%)

Profiling

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