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

Time bar (total: 2.7s)

analyze75.0ms (2.8%)

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: 14.0ms
ival-mult: 11.0ms (78% of total)
ival-div: 2.0ms (14.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample713.0ms (26.5%)

Results
486.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-mult: 98.0ms (47.6% of total)
ival-div: 97.0ms (47.1% of total)
const: 8.0ms (3.9% of total)
backward-pass: 3.0ms (1.5% of total)
Bogosity

preprocess86.0ms (3.2%)

Algorithm
egg-herbie
Rules
1624×fnmadd-define
1568×fma-define
1086×sum3-define
818×times-frac
584×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02253
16053
214553
348453
4131653
5285953
6465153
7477353
8484953
9496153
10499353
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)
(* z (/ y x))
(/ (* x z) y)
(* x (/ z y))
Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

explain68.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-2(1.572763637293738e-209 9.540664699213558e-104 5.240526048252957e-294)(/.f64 (*.f64 x y) z)
00-0-(*.f64 x y)
00-0-x
00-0-z
00-0-y
Results
28.0ms512×0valid
Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (53.9% of total)
ival-div: 4.0ms (43.1% 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
90.9%
(/.f64 (*.f64 x y) z)
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(/.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

localize34.0ms (1.2%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy90.9%
(/.f64 (*.f64 x y) z)
Results
28.0ms256×0valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.2% of total)
ival-mult: 2.0ms (43.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.3%)

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

rewrite191.0ms (7.1%)

Algorithm
batch-egg-rewrite
Rules
2136×/-lowering-/.f32
2136×/-lowering-/.f64
1754×*-lowering-*.f32
1754×*-lowering-*.f64
996×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1168
2718
33678
424018
091788
Stop Event
iter limit
node limit
Counts
2 → 202
Calls
Call 1
Inputs
(/ (* x y) z)
(* x y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z (*.f64 x y)) (/.f64 x (/.f64 z y)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 x y)) (*.f64 z z)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 z z)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 x (/.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 x (/.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 x (/.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 x (/.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))) (/.f64 x (/.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))) (/.f64 (*.f64 z x) (/.f64 z (/.f64 y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (/.f64 x (/.f64 z y)))) (/.f64 x (/.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (*.f64 (*.f64 x y) (*.f64 x y)))) (/.f64 x (/.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) #s(literal 0 binary64))) (/.f64 x (/.f64 z y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(neg.f64 (/.f64 x (/.f64 z y)))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 z (/.f64 z (/.f64 x (/.f64 z y))))
(/.f64 z (neg.f64 (/.f64 z (/.f64 x (/.f64 z y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 y z)) (-.f64 #s(literal 0 binary64) (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 x (/.f64 z y))) z))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) z) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z y)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 x y)) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) z) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x y) z) (*.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 z (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y))
(/.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(/.f64 (/.f64 x (/.f64 z y)) #s(literal -1 binary64))
(/.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) z))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 z (*.f64 (*.f64 x y) (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (neg.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) z)))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (neg.f64 (*.f64 z (*.f64 (*.f64 x y) (*.f64 x y)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 z (*.f64 (*.f64 x y) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) (neg.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) (neg.f64 (*.f64 z (*.f64 (*.f64 x y) (*.f64 x y)))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 z (*.f64 x y)))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (neg.f64 (*.f64 (*.f64 x y) z)))
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 (*.f64 x y) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (/.f64 z (/.f64 y z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 x y)))) (*.f64 z z))
(/.f64 (*.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) #s(literal -1 binary64)) (*.f64 (*.f64 x y) z))
(/.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 z (*.f64 z z))) (+.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) #s(literal 0 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 z (*.f64 z z))) (neg.f64 (+.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y)))) (/.f64 x (/.f64 z y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (*.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 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) (*.f64 x y))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) z) (*.f64 (*.f64 x y) (*.f64 x y)))
(/.f64 (/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) z) (*.f64 x y))
(/.f64 (/.f64 (*.f64 x y) (*.f64 z (*.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(/.f64 (/.f64 (*.f64 x y) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x))) (neg.f64 (/.f64 z (/.f64 y z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y)))) (*.f64 z z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 x y))))) (*.f64 z z))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x y) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))))) (/.f64 x (/.f64 z y)))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) z)) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) z)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))))) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 x y)) (/.f64 x (/.f64 z y))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 x y))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x (/.f64 z y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 z y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y z))
(*.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (/.f64 z y)) #s(literal -1 binary64))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) z)))
(*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 x y) (*.f64 x y)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) z)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 x y) (*.f64 x y)))))
(*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))))
(*.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))))
(*.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) z)))
(*.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/2 binary64))))
(*.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 z x)) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y z))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(*.f64 (*.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) z)))
(*.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y)))) (/.f64 z (*.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #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 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (*.f64 x y) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (/.f64 (*.f64 x y) (*.f64 z z)) z)
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(+.f64 (*.f64 x y) (fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(+.f64 (*.f64 x y) (fma.f64 x y (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(+.f64 (*.f64 x y) (fma.f64 #s(literal 1 binary64) (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(+.f64 (*.f64 x y) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(+.f64 (*.f64 x y) (fma.f64 (*.f64 x y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(+.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(+.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(+.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))))))
(+.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)) (*.f64 x y))
(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) x) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 x y) (*.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x y))
(/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 x y) #s(literal 0 binary64)))
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) #s(literal 0 binary64)) (*.f64 (*.f64 x y) (*.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))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.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 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))
(*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))

simplify89.0ms (3.3%)

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)

eval30.0ms (1.1%)

Compiler

Compiled 3244 to 415 computations (87.2% saved)

prune33.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2575262
Fresh000
Picked011
Done000
Total2576263
Accuracy
100.0%
Counts
263 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.9%
(/.f64 (*.f64 x y) z)
90.6%
(/.f64 y (/.f64 z x))
91.8%
(/.f64 x (/.f64 z y))
90.6%
(*.f64 (/.f64 y z) x)
92.2%
(*.f64 (/.f64 x z) y)
90.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
Compiler

Compiled 92 to 59 computations (35.9% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
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)
Rules
52×*-lowering-*.f32
52×*-lowering-*.f64
32×associate-*r*
26×/-lowering-/.f32
26×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
12858
24358
36658
47958
58958
08958
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ x z) y)
(/ x z)
x
z
y
(* (/ y z) x)
(/ y z)
y
z
x
(/ x (/ z y))
x
(/ z y)
z
y
(/ y (/ z x))
y
(/ z x)
z
x
(* (/ 1 z) (* x y))
(/ 1 z)
1
z
(* x y)
x
y
Outputs
(* (/ x z) y)
(/.f64 x (/.f64 z y))
(/ x z)
(/.f64 x z)
x
z
y
(* (/ y z) x)
(/.f64 x (/.f64 z y))
(/ y z)
(/.f64 y z)
y
z
x
(/ x (/ z y))
(/.f64 x (/.f64 z y))
x
(/ z y)
(/.f64 z y)
z
y
(/ y (/ z x))
(/.f64 x (/.f64 z y))
y
(/ z x)
(/.f64 z x)
z
x
(* (/ 1 z) (* x y))
(/.f64 x (/.f64 z y))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* x y)
(*.f64 x y)
x
y

localize72.0ms (2.7%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 x y)
accuracy90.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
accuracy100.0%
(/.f64 z x)
accuracy90.6%
(/.f64 y (/.f64 z x))
accuracy100.0%
(/.f64 z y)
accuracy91.8%
(/.f64 x (/.f64 z y))
accuracy100.0%
(/.f64 y z)
accuracy90.6%
(*.f64 (/.f64 y z) x)
accuracy100.0%
(/.f64 x z)
accuracy92.2%
(*.f64 (/.f64 x z) y)
Results
54.0ms256×0valid
Compiler

Compiled 65 to 16 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 16.0ms (56.6% of total)
ival-mult: 12.0ms (42.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.5%)

Counts
11 → 312
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 y))>
#<alt (/ 1 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 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 (/ 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)>
#<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

78 calls:

TimeVariablePointExpression
4.0ms
z
@0
(/ z x)
0.0ms
x
@-inf
(/ x z)
0.0ms
z
@-inf
(/ z y)
0.0ms
z
@-inf
(/ z x)
0.0ms
y
@0
(/ z y)

rewrite300.0ms (11.1%)

Algorithm
batch-egg-rewrite
Rules
2118×*-lowering-*.f32
2118×*-lowering-*.f64
1812×+-lowering-+.f64
1812×+-lowering-+.f32
1646×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01542
16042
228542
3141142
4549742
0839242
Stop Event
iter limit
node limit
Counts
11 → 844
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 y))
(/ 1 z)
(* x y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 0 binary64)) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64)) (/.f64 x (/.f64 z y)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 z (*.f64 x y)))))
(exp.f64 (-.f64 (log.f64 (/.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(exp.f64 (-.f64 (log.f64 (/.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(/.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 x (/.f64 z y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x 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 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (*.f64 y y)))
(/.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 y)) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x))
(/.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 z (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z (-.f64 #s(literal 0 binary64) 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 #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) 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 -1 binary64) (/.f64 z y)))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x))
(/.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 (-.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 (*.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 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) x)) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 x z))) (/.f64 z (*.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) y)) (/.f64 (/.f64 z x) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 y z))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 z y)))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (*.f64 x y))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y)))) (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (/.f64 z y))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (/.f64 z y))) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) (/.f64 x z))) (*.f64 y y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 x z))) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)) (/.f64 z (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)))
(pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #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))
(pow.f64 (exp.f64 (log.f64 (/.f64 z (*.f64 x y)))) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
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(/.f64 y (/.f64 z x))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (*.f64 x y) z)
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 y z))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (/.f64 z y))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (/.f64 z y))) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) (/.f64 x z))) (*.f64 y y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 x z))) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)) (/.f64 z (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)))
(pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
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(pow.f64 (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64))
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(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
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(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(*.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 x (/.f64 z y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
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(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
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(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))
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(/.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))
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(*.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)))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x y))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 x y))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (*.f64 x y))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x y))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64) (*.f64 x y))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) x)) (*.f64 y y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x)) y)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) y)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) y)) x)
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(*.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) 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) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))

simplify31.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0111284
1161284
2181284
3191284
0191284
Stop Event
iter limit
saturated
Counts
312 → 312
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (* x y) z)
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(/ x z)
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(/ 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)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 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 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)
(/.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 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)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
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(/ (* 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)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
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(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
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(/ y z)
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(/ y z)
(/.f64 y z)
(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 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) z)
(/.f64 (*.f64 x y) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
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(/ z y)
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(/ z y)
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(/ z y)
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(/ z y)
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(/ z y)
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(/ z y)
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(/ z y)
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(/ z y)
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(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* 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)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
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(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
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(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ (* 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)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) 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)

eval148.0ms (5.5%)

Compiler

Compiled 12609 to 1168 computations (90.7% saved)

prune66.0ms (2.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New115601156
Fresh000
Picked055
Done011
Total115661162
Accuracy
100.0%
Counts
1162 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.9%
(/.f64 (*.f64 x y) z)
90.6%
(/.f64 y (/.f64 z x))
91.8%
(/.f64 x (/.f64 z y))
90.6%
(*.f64 (/.f64 y z) x)
92.2%
(*.f64 (/.f64 x z) y)
90.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
Compiler

Compiled 85 to 48 computations (43.5% saved)

regimes14.0ms (0.5%)

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 y))
Outputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
Calls

5 calls:

4.0ms
z
3.0ms
(*.f64 x y)
2.0ms
x
2.0ms
y
2.0ms
(/.f64 (*.f64 x y) z)
Results
AccuracySegmentsBranch
97.2%3x
96.4%2y
99.8%2z
99.8%2(/.f64 (*.f64 x y) z)
99.7%3(*.f64 x y)
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes4.0ms (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:

1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
92.2%1x
92.2%1y
92.2%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch45.0ms (1.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
44.0ms
2.123481552739394e-8
6.113291213329364e-6
Results
6.0ms128×0valid
Compiler

Compiled 158 to 106 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (43.6% of total)
ival-mult: 1.0ms (43.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11219
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal 61796592646927/18446744073709551616 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)
Outputs
(if (<=.f64 z #s(literal 61796592646927/18446744073709551616 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x))
(if (<=.f64 z #s(literal 61796592646927/18446744073709551616 binary64)) (*.f64 (/.f64 x z) y) (*.f64 x (/.f64 y z)))
(*.f64 (/.f64 x z) y)

soundness376.0ms (14%)

Rules
2136×/-lowering-/.f32
2136×/-lowering-/.f64
1754×*-lowering-*.f32
1754×*-lowering-*.f64
996×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1168
2718
33678
424018
091788
Stop Event
done
iter limit
node limit
Compiler

Compiled 46 to 25 computations (45.7% saved)

preprocess279.0ms (10.4%)

Compiler

Compiled 248 to 140 computations (43.5% saved)

end0.0ms (0%)

Profiling

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