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

Time bar (total: 2.7s)

analyze39.0ms (1.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (67.8% of total)
ival-div: 2.0ms (22.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample779.0ms (28.6%)

Results
539.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-mult: 85.0ms (47.4% of total)
ival-div: 84.0ms (46.9% of total)
const: 8.0ms (4.5% of total)
backward-pass: 3.0ms (1.7% of total)
Bogosity

preprocess59.0ms (2.2%)

Algorithm
egg-herbie
Rules
818×times-frac
190×distribute-lft-in
184×associate-*r/
184×associate-/r*
182×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02253
16053
214553
348453
4123153
5193053
6199053
7200853
8204853
9207253
055
185
2115
3125
0125
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (* x y) z)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
Call 2
Inputs
(/ (* x y) z)
(/ (* (neg x) y) z)
(/ (* x (neg y)) z)
(/ (* x y) (neg z))
(neg (/ (* (neg x) y) z))
(neg (/ (* x (neg y)) z))
(neg (/ (* x y) (neg z)))
(/ (* y x) z)
(/ (* z y) x)
(/ (* x z) y)
Outputs
(/ (* x y) z)
(* y (/ x z))
(/ (* (neg x) y) z)
(* y (/ x (neg z)))
(/ (* x (neg y)) z)
(* y (/ x (neg z)))
(/ (* x y) (neg z))
(* y (/ x (neg z)))
(neg (/ (* (neg x) y) z))
(* y (/ x z))
(neg (/ (* x (neg y)) z))
(* y (/ x z))
(neg (/ (* x y) (neg z)))
(* y (/ x z))
(/ (* y x) z)
(* y (/ x z))
(/ (* z y) x)
(* y (/ z x))
(/ (* x z) y)
(* x (/ z y))
Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

explain48.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
220-1(4.4356507822462356e-229 9.801698330135165e-95 4.095961742870864e-195)(/.f64 (*.f64 x y) z)
00-0-(*.f64 x y)
00-0-x
00-0-z
00-0-y
Results
33.0ms512×0valid
Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (52.3% of total)
ival-div: 4.0ms (41.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
91.8%
(/.f64 (*.f64 x y) z)
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize43.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) z)
accuracy100.0%
(*.f64 x y)
accuracy91.8%
(/.f64 (*.f64 x y) z)
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1811
21111
31211
01211
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* x y) z)
(* x y)
x
y
z
Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
x
y
z
Results
27.0ms256×0valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 10.0ms (82.6% of total)
ival-div: 2.0ms (16.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.4%)

Counts
2 → 60
Calls
Call 1
Inputs
#<alt (/ (* x y) z)>
#<alt (* x y)>
Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ (* x y) z)
1.0ms
x
@inf
(* x y)
1.0ms
y
@0
(/ (* x y) z)
1.0ms
x
@inf
(/ (* x y) z)
0.0ms
z
@inf
(/ (* x y) z)

rewrite146.0ms (5.4%)

Algorithm
batch-egg-rewrite
Rules
1066×*-lowering-*.f32
1066×*-lowering-*.f64
848×/-lowering-/.f32
848×/-lowering-/.f64
234×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1168
2698
33618
023718
Stop Event
iter limit
iter limit
node limit
Counts
2 → 132
Calls
Call 1
Inputs
(/ (* x y) z)
(* x y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (*.f64 x (/.f64 y z)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 z x) y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z))))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z))))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (-.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z))) #s(literal -1 binary64))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 x y) (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x y))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (-.f64 #s(literal 0 binary64) y)))) (*.f64 (-.f64 #s(literal 0 binary64) z) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x (-.f64 #s(literal 0 binary64) y)))) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z (*.f64 x (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y))) #s(literal -1 binary64)) (*.f64 (*.f64 x y) z))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 x y) (*.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x y)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (*.f64 z (*.f64 (*.f64 x y) (*.f64 x y))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 z (*.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 z (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z))) (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z))) (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z))))) (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (*.f64 (*.f64 x y) (*.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 (*.f64 x y) (*.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y))) (/.f64 #s(literal -1 binary64) z)) (*.f64 x y))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 z x) y) (/.f64 (/.f64 z x) y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 z x) y))) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 y z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z))) #s(literal -1 binary64))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 x z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (*.f64 (*.f64 x y) (*.f64 x y)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 x y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (*.f64 (*.f64 x y) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 x y))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64))) (*.f64 (*.f64 x y) (*.f64 x y)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))

simplify12.0ms (0.5%)

Algorithm
egg-herbie
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05252
18252
211252
312252
012252
Stop Event
iter limit
saturated
Counts
60 → 60
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval24.0ms (0.9%)

Compiler

Compiled 1905 to 773 computations (59.4% saved)

prune354.0ms (13%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1875192
Fresh000
Picked011
Done000
Total1876193
Accuracy
100.0%
Counts
193 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.8%
(/.f64 (*.f64 x y) z)
91.7%
(/.f64 y (/.f64 z x))
92.1%
(/.f64 x (/.f64 z y))
90.9%
(*.f64 (/.f64 y z) x)
92.4%
(*.f64 (/.f64 x z) y)
91.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 96 to 63 computations (34.4% saved)

localize132.0ms (4.8%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) y))
cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(/.f64 z x)
cost-diff0
(/.f64 y (/.f64 z x))
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 x (/.f64 z y))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) y))
accuracy91.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
accuracy100.0%
(/.f64 z x)
accuracy91.7%
(/.f64 y (/.f64 z x))
accuracy100.0%
(/.f64 z y)
accuracy92.1%
(/.f64 x (/.f64 z y))
accuracy100.0%
(/.f64 y z)
accuracy90.9%
(*.f64 (/.f64 y z) x)
accuracy100.0%
(/.f64 x z)
accuracy92.4%
(*.f64 (/.f64 x z) y)
Rules
104×*-lowering-*.f32
104×*-lowering-*.f64
86×/-lowering-/.f32
86×/-lowering-/.f64
78×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01652
13150
25150
310750
414750
517050
619150
722250
824050
924350
024350
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ x z) y)
(/ x z)
x
z
y
(* (/ y z) x)
(/ y z)
(/ x (/ z y))
(/ z y)
(/ y (/ z x))
(/ z x)
(* (/ 1 z) (/ x (/ 1 y)))
(/ 1 z)
1
(/ x (/ 1 y))
(/ 1 y)
Outputs
(* (/ x z) y)
(/.f64 y (/.f64 z x))
(/ x z)
(/.f64 x z)
x
z
y
(* (/ y z) x)
(/.f64 y (/.f64 z x))
(/ y z)
(/.f64 y z)
(/ x (/ z y))
(/.f64 y (/.f64 z x))
(/ z y)
(/.f64 z y)
(/ y (/ z x))
(/.f64 y (/.f64 z x))
(/ z x)
(/.f64 z x)
(* (/ 1 z) (/ x (/ 1 y)))
(/.f64 y (/.f64 z x))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
(/ x (/ 1 y))
(*.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
Results
70.0ms256×0valid
Compiler

Compiled 72 to 26 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 36.0ms (85% of total)
ival-mult: 5.0ms (11.8% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (1%)

Counts
12 → 324
Calls
Call 1
Inputs
#<alt (* (/ x z) y)>
#<alt (/ x z)>
#<alt (* (/ y z) x)>
#<alt (/ y z)>
#<alt (/ x (/ z y))>
#<alt (/ z y)>
#<alt (/ y (/ z x))>
#<alt (/ z x)>
#<alt (* (/ 1 z) (/ x (/ 1 y)))>
#<alt (/ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (/ 1 z)>
Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
Calls

81 calls:

TimeVariablePointExpression
2.0ms
z
@0
(/ z x)
0.0ms
y
@0
(/ y z)
0.0ms
z
@-inf
(/ z y)
0.0ms
x
@-inf
(/ x z)
0.0ms
y
@0
(/ z y)

rewrite514.0ms (18.9%)

Algorithm
batch-egg-rewrite
Rules
2528×*-lowering-*.f32
2528×*-lowering-*.f64
2130×--lowering--.f32
2130×--lowering--.f64
1784×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01648
17646
240546
3195946
4672446
0847246
Stop Event
iter limit
node limit
Counts
12 → 977
Calls
Call 1
Inputs
(* (/ x z) y)
(/ x z)
(* (/ y z) x)
(/ y z)
(/ x (/ z y))
(/ z y)
(/ y (/ z x))
(/ z x)
(* (/ 1 z) (/ x (/ 1 y)))
(/ x (/ 1 y))
(/ 1 y)
(/ 1 z)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 0 binary64)) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64)) (/.f64 y (/.f64 z x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 z (*.f64 x y)))))
(exp.f64 (log.f64 (/.f64 y (/.f64 z x))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (log.f64 (/.f64 #s(literal 1 binary64) z))))
(exp.f64 (-.f64 (log.f64 (/.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (log.f64 z)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(/.f64 x (/.f64 z y))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 z x))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (/.f64 x z) (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (*.f64 x y) z)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (*.f64 z (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))) (/.f64 z x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y)))) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y)))) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 x z))) (/.f64 z (*.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y)) (*.f64 (/.f64 z x) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 y z))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)) (/.f64 (/.f64 z y) (/.f64 y z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 x z))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 y z))) (/.f64 z (*.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) (sqrt.f64 y))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x)))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(pow.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y (/.f64 z x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 x z) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 y (/.f64 z x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y (/.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x z))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.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 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 x z))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 x z)
(/.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) x)) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x z))) z)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) z))) (/.f64 z x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) z))) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) (/.f64 x z))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal -1 binary64))
(*.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 x y))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) #s(literal -1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) (*.f64 (log.f64 z) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))
(pow.f64 z #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))

simplify54.0ms (2%)

Algorithm
egg-herbie
Rules
14×/-lowering-/.f32
14×/-lowering-/.f64
12×*-lowering-*.f32
12×*-lowering-*.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121332
1161332
2181332
3191332
0191332
Stop Event
iter limit
saturated
Counts
324 → 324
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
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eval255.0ms (9.4%)

Compiler

Compiled 14890 to 7349 computations (50.6% saved)

prune127.0ms (4.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New130101301
Fresh000
Picked055
Done011
Total130161307
Accuracy
100.0%
Counts
1307 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.8%
(/.f64 (*.f64 x y) z)
91.7%
(/.f64 y (/.f64 z x))
92.1%
(/.f64 x (/.f64 z y))
90.9%
(*.f64 (/.f64 y z) x)
92.4%
(*.f64 (/.f64 x z) y)
91.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 89 to 53 computations (40.4% saved)

regimes25.0ms (0.9%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
Outputs
(/.f64 x (/.f64 z y))
(*.f64 (/.f64 x z) y)
Calls

5 calls:

7.0ms
y
6.0ms
(*.f64 x y)
4.0ms
x
4.0ms
z
3.0ms
(/.f64 (*.f64 x y) z)
Results
AccuracySegmentsBranch
95.9%2x
98.3%3y
99.8%2z
99.8%2(/.f64 (*.f64 x y) z)
99.8%3(*.f64 x y)
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes2.0ms (0.1%)

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

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
99.7%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes1.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

0.0ms
z
0.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
92.4%1x
92.4%1y
92.4%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5658532573441117e-18
2.313504613123617e-17
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch9.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
9.764119923732378e-22
1.0053443867613228e-20
Results
5.0ms96×0valid
Compiler

Compiled 122 to 82 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (56.6% of total)
ival-mult: 1.0ms (56.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

soundness1.0ms (0%)

Stop Event
done
Compiler

Compiled 40 to 17 computations (57.5% saved)

preprocess58.0ms (2.1%)

Compiler

Compiled 484 to 266 computations (45% saved)

end0.0ms (0%)

Profiling

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