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

Time bar (total: 4.9s)

analyze36.0ms (0.7%)

Memory
-3.5MiB live, 34.0MiB allocated
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 7 to 7 computations (0% saved)

sample642.0ms (13.1%)

Memory
29.4MiB live, 737.1MiB allocated
Samples
385.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 75.0ms (53.9% of total)
ival-div: 56.0ms (40.2% of total)
ival-true: 6.0ms (4.3% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

preprocess52.0ms (1%)

Memory
8.2MiB live, 47.0MiB allocated
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)
(* z (/ y x))
(/ (* x z) y)
(* x (/ z y))
Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

explain52.0ms (1%)

Memory
-19.1MiB live, 99.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
180-1(7.846034728556204e-226 4.416041557874685e-87 2.4501787945619576e-102)(/.f64 (*.f64 x y) z)
00-0-y
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x y) z)o/n100
(*.f64 x y)overflow28
/.f64(/.f64 (*.f64 x y) z)u/n70
(*.f64 x y)underflow33
Confusion
Predicted +Predicted -
+171
-0238
Precision
1.0
Recall
0.9444444444444444
Confusion?
Predicted +Predicted MaybePredicted -
+1701
-00238
Precision?
1.0
Recall?
0.9444444444444444
Freqs
test
numberfreq
0239
117
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 6.0ms (59.6% of total)
ival-mult: 4.0ms (39.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.9%
(/.f64 (*.f64 x y) z)
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
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

localize16.0ms (0.3%)

Memory
-5.3MiB live, 33.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy93.9%
(/.f64 (*.f64 x y) z)
Samples
12.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.2% of total)
ival-div: 2.0ms (40.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
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
x
@inf
(* x y)
1.0ms
y
@0
(/ (* x y) z)
1.0ms
x
@0
(/ (* x y) z)
1.0ms
x
@inf
(/ (* x y) z)
0.0ms
z
@0
(/ (* x y) z)

rewrite107.0ms (2.2%)

Memory
-42.2MiB live, 185.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 066×*-lowering-*.f32
1 066×*-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 (fma.f64 x y #s(literal 0 binary64)) z))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 z (fma.f64 x y #s(literal 0 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z)))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(/.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) z) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z)) #s(literal -1 binary64))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 x y #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) z) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 0 binary64)) z))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 z (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 z (fma.f64 x y #s(literal 0 binary64))))
(/.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 (fma.f64 x y #s(literal 0 binary64)) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z)))) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x y #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) z)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) z)) (fma.f64 x y #s(literal 0 binary64)))
(pow.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) z) #s(literal 1 binary64))
(pow.f64 (/.f64 z (fma.f64 x y #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 z (fma.f64 x y #s(literal 0 binary64))) (/.f64 z (fma.f64 x y #s(literal 0 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 z (fma.f64 x y #s(literal 0 binary64))))) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal 0 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 x y #s(literal 0 binary64)))
(*.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 (fma.f64 x y #s(literal 0 binary64)) z)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 0 binary64))) #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 (fma.f64 x y #s(literal 0 binary64)) 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 (fma.f64 x y #s(literal 0 binary64)) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) z) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) 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 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fma.f64 x y #s(literal 0 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 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 0 binary64))) #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 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))))
(*.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 (fma.f64 x y #s(literal 0 binary64)) (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 (fma.f64 x y #s(literal 0 binary64)) z) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 x y #s(literal 0 binary64)) 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 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) z)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #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 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #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 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x y #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x y #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))
(*.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 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #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))

simplify8.0ms (0.2%)

Memory
20.1MiB live, 20.1MiB allocated
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)

eval18.0ms (0.4%)

Memory
6.4MiB live, 45.4MiB allocated
Compiler

Compiled 2 113 to 294 computations (86.1% saved)

prune22.0ms (0.5%)

Memory
-19.5MiB live, 60.3MiB allocated
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
93.9%
(/.f64 (*.f64 x y) z)
93.3%
(/.f64 y (/.f64 z x))
94.1%
(/.f64 x (/.f64 z y))
93.8%
(*.f64 (/.f64 y z) x)
93.8%
(*.f64 (/.f64 x z) y)
93.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 96 to 61 computations (36.5% saved)

simplify10.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) y))
cost-diff0
(/.f64 z x)
cost-diff384
(/.f64 y (/.f64 z x))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
(/.f64 z y)
cost-diff384
(/.f64 x (/.f64 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
01664
13162
25162
310762
414762
517062
619162
722262
823862
924162
024162
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (/ z y))
x
(/ z y)
z
y
(* (/ x z) y)
(/ x z)
x
z
y
(* (/ y z) x)
(/ y z)
y
z
x
(/ y (/ z x))
y
(/ z x)
z
x
(* (/ 1 z) (/ x (/ 1 y)))
(/ 1 z)
1
z
(/ x (/ 1 y))
x
(/ 1 y)
y
Outputs
(/ x (/ z y))
(/.f64 (*.f64 x y) z)
x
(/ z y)
(/.f64 z y)
z
y
(* (/ x z) y)
(/.f64 (*.f64 x y) z)
(/ x z)
(/.f64 x z)
x
z
y
(* (/ y z) x)
(/.f64 (*.f64 x y) z)
(/ y z)
(/.f64 y z)
y
z
x
(/ y (/ z x))
(/.f64 (*.f64 x y) z)
y
(/ z x)
(/.f64 z x)
z
x
(* (/ 1 z) (/ x (/ 1 y)))
(/.f64 (*.f64 x y) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(/ x (/ 1 y))
(*.f64 x y)
x
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y

localize52.0ms (1.1%)

Memory
-8.4MiB live, 149.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
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))
accuracy93.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
accuracy100.0%
(/.f64 z x)
accuracy93.3%
(/.f64 y (/.f64 z x))
accuracy100.0%
(/.f64 y z)
accuracy93.8%
(*.f64 (/.f64 y z) x)
accuracy100.0%
(/.f64 x z)
accuracy93.8%
(*.f64 (/.f64 x z) y)
accuracy100.0%
(/.f64 z y)
accuracy94.1%
(/.f64 x (/.f64 z y))
Samples
34.0ms256×0valid
Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 16.0ms (77.1% of total)
ival-mult: 4.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory
-12.4MiB live, 26.1MiB allocated
Counts
12 → 324
Calls
Call 1
Inputs
#<alt (/ x (/ z y))>
#<alt (/ z y)>
#<alt (* (/ x z) y)>
#<alt (/ x z)>
#<alt (* (/ y z) x)>
#<alt (/ y z)>
#<alt (/ y (/ z x))>
#<alt (/ z x)>
#<alt (/ x (/ 1 y))>
#<alt (* (/ 1 z) (/ x (/ 1 y)))>
#<alt (/ 1 z)>
#<alt (/ 1 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 (/ 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 (/ 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 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)>
#<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) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* 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 (/ 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)>
Calls

81 calls:

TimeVariablePointExpression
3.0ms
z
@0
(/ z x)
0.0ms
z
@-inf
(/ z x)
0.0ms
z
@-inf
(/ x z)
0.0ms
z
@-inf
(/ z y)
0.0ms
z
@0
(/ z y)

rewrite285.0ms (5.8%)

Memory
24.0MiB live, 569.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 528×*-lowering-*.f32
2 528×*-lowering-*.f64
2 130×--lowering--.f32
2 130×--lowering--.f64
1 784×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01648
17646
240546
3196646
4674246
0849046
Stop Event
iter limit
node limit
Counts
12 → 977
Calls
Call 1
Inputs
(/ x (/ z y))
(/ z y)
(* (/ x z) y)
(/ x z)
(* (/ y z) x)
(/ y z)
(/ y (/ z x))
(/ z x)
(/ x (/ 1 y))
(* (/ 1 z) (/ x (/ 1 y)))
(/ 1 z)
(/ 1 y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64)) (/.f64 (*.f64 x y) z))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64)) (/.f64 (*.f64 x y) z))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 z (*.f64 x y)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x y))) (-.f64 #s(literal 0 binary64) (log.f64 z))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x y))))))
(exp.f64 (-.f64 (log.f64 (/.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x y)))) (log.f64 z)))
(-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(neg.f64 (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 x z) (sqrt.f64 y))))
(/.f64 (*.f64 x y) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))) #s(literal -1 binary64))
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 x (sqrt.f64 y)) (*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (sqrt.f64 y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))))
(/.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 y)) (neg.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) x)) (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) y)) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 x z))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 y z))) (/.f64 z (*.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y)))) (/.f64 z (-.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 x y))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 y (-.f64 #s(literal 0 binary64) z)))) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) z)))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 z (-.f64 #s(literal 0 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 x)) y)) (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)))
(/.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 #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) (/.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 #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 (*.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 #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) 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) (*.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 y (-.f64 #s(literal 0 binary64) 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 x (-.f64 #s(literal 0 binary64) z)))) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) (sqrt.f64 y))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))) (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))) (*.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))) (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))))) (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))))
(pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 x 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 z (*.f64 x y))) #s(literal -1/2 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 #s(literal 0 binary64) 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 x (/.f64 y (-.f64 #s(literal 0 binary64) z))) #s(literal -1 binary64))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 x z) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (sqrt.f64 y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 y)))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 x y))) (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) z)))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 x z))) (/.f64 z (*.f64 x y)))
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(/.f64 (neg.f64 (*.f64 (/.f64 x z) (sqrt.f64 y))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))) (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))))) (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))))
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(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 z (*.f64 x y))) #s(literal -1/2 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (-.f64 #s(literal 0 binary64) z))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 #s(literal 0 binary64) 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 x (/.f64 y (-.f64 #s(literal 0 binary64) z))) #s(literal -1 binary64))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 x z) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (sqrt.f64 y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 y)))
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 y)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (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 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 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))) #s(literal -1 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (sqrt.f64 y))) #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 y))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 y))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(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)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z z #s(literal 0 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.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) (fma.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 (fma.f64 z z #s(literal 0 binary64)) #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)))
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (fma.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #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) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #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 (fma.f64 y y #s(literal 0 binary64))))) (-.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 (fma.f64 y y #s(literal 0 binary64))))) (*.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 (fma.f64 y y #s(literal 0 binary64)))))) (/.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 (fma.f64 y y #s(literal 0 binary64))))) (+.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (fma.f64 y y #s(literal 0 binary64)) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))

simplify31.0ms (0.6%)

Memory
15.2MiB live, 94.2MiB allocated
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)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/ (* x y) z)
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(/ z y)
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(/ (* x y) z)
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Outputs
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(* x y)
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(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)

eval246.0ms (5%)

Memory
-38.2MiB live, 366.4MiB allocated
Compiler

Compiled 15 021 to 1 485 computations (90.1% saved)

prune102.0ms (2.1%)

Memory
7.8MiB live, 205.0MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1 29921 301
Fresh000
Picked145
Done011
Total1 30071 307
Accuracy
100.0%
Counts
1 307 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.9%
(/.f64 (*.f64 x y) z)
94.1%
(/.f64 x (/.f64 z y))
76.5%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x))) y)
93.8%
(*.f64 (/.f64 y z) x)
93.8%
(*.f64 (/.f64 x z) y)
93.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
93.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
Compiler

Compiled 70 to 44 computations (37.1% saved)

simplify231.0ms (4.7%)

Memory
33.9MiB live, 265.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x))) y)
cost-diff0
(/.f64 z x)
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff1472
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x)))
cost-diff-64
(*.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
Rules
2 570×*-lowering-*.f32
2 570×*-lowering-*.f64
2 036×accelerator-lowering-fma.f32
2 036×accelerator-lowering-fma.f64
1 566×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01348
13440
211638
333638
4183438
5337238
6440738
7519338
8562938
9574238
10588738
11671838
12728538
13751938
14786538
0800238
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 1 z) (* y x))
(/ 1 z)
1
z
(* y x)
y
x
(* (/ (- 0 z) (* (- 0 z) (/ z x))) y)
(/ (- 0 z) (* (- 0 z) (/ z x)))
(- 0 z)
0
z
(* (- 0 z) (/ z x))
(/ z x)
x
y
Outputs
(* (/ 1 z) (* y x))
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* y x)
(fma.f64 y x #s(literal 0 binary64))
y
x
(* (/ (- 0 z) (* (- 0 z) (/ z x))) y)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(/ (- 0 z) (* (- 0 z) (/ z x)))
(/.f64 x z)
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(* (- 0 z) (/ z x))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))
(/ z x)
(/.f64 z x)
x
y

localize40.0ms (0.8%)

Memory
-15.0MiB live, 80.7MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
accuracy99.9%
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x))
accuracy93.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x))) y)
accuracy73.7%
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 y x)
accuracy93.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
Samples
27.0ms256×0valid
Compiler

Compiled 60 to 15 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (54.8% of total)
ival-div: 5.0ms (30.5% of total)
ival-sub: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-28.4MiB live, 11.1MiB allocated
Counts
8 → 192
Calls
Call 1
Inputs
#<alt (* (/ 1 z) (* y x))>
#<alt (/ 1 z)>
#<alt (* y x)>
#<alt (/ (- 0 z) (* (- 0 z) (/ z x)))>
#<alt (- 0 z)>
#<alt (/ z x)>
#<alt (* (/ (- 0 z) (* (- 0 z) (/ z x))) y)>
#<alt (* (- 0 z) (/ z x))>
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 (/ 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)>
#<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 (* -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 (/ 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 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
Calls

48 calls:

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

rewrite313.0ms (6.4%)

Memory
11.3MiB live, 320.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 530×*-lowering-*.f32
2 530×*-lowering-*.f64
2 432×/-lowering-/.f32
2 432×/-lowering-/.f64
1 854×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01340
16930
254630
0606930
Stop Event
iter limit
iter limit
node limit
Counts
8 → 1 094
Calls
Call 1
Inputs
(* (/ 1 z) (* y x))
(/ 1 z)
(* y x)
(/ (- 0 z) (* (- 0 z) (/ z x)))
(- 0 z)
(/ z x)
(* (/ (- 0 z) (* (- 0 z) (/ z x))) y)
(* (- 0 z) (/ z x))
Outputs
(+.f64 (*.f64 y #s(literal 0 binary64)) (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y x) z))
(fma.f64 y #s(literal 0 binary64) (/.f64 (*.f64 y x) z))
(fma.f64 #s(literal 0 binary64) y (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 y (/.f64 z (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y x)))
(neg.f64 (*.f64 z (*.f64 y (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64)))))))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) z) y))
(neg.f64 (*.f64 (*.f64 z y) (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64))))))
(neg.f64 (*.f64 y (/.f64 (-.f64 #s(literal 0 binary64) x) z)))
(neg.f64 (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z)))
(neg.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 y x) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)))
(/.f64 (*.f64 z y) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (*.f64 y x) z) #s(literal 1 binary64))
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 y) (/.f64 z (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 y (fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z y))) (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)) #s(literal 0 binary64)))
(/.f64 (*.f64 y (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x))) z)
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 0 binary64) z)) (/.f64 z (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 (*.f64 z y) (/.f64 z x)) z)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) z) (/.f64 z (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z y))) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))
(/.f64 (*.f64 y (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) z))) (*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) z) (fma.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) x) z))
(/.f64 (*.f64 y (fma.f64 z x #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) #s(literal -1 binary64)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64)))))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 y (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64)))))) z)
(/.f64 (*.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) z)) y) (*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) z) (fma.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))) y) (fma.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64))) y) (/.f64 (-.f64 #s(literal 0 binary64) x) z))
(/.f64 (*.f64 (fma.f64 z x #s(literal 0 binary64)) y) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 y (fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z y))) (neg.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64))))) z)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) x) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 z y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z))
(*.f64 z (/.f64 y (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)))
(*.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
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(*.f64 (/.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64)))

simplify31.0ms (0.6%)

Memory
26.1MiB live, 63.3MiB allocated
Algorithm
egg-herbie
Rules
66×*-lowering-*.f32
66×*-lowering-*.f64
66×accelerator-lowering-fma.f32
66×accelerator-lowering-fma.f64
60×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015780
127780
238780
356780
482780
5108780
6128780
7164780
8187780
9197780
10198780
0198780
Stop Event
iter limit
saturated
Counts
192 → 192
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)
(/ 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)
(/ 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)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 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 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
Outputs
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ 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)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(/ 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)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) 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)
(/.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)
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64))

eval166.0ms (3.4%)

Memory
1.1MiB live, 319.3MiB allocated
Compiler

Compiled 26 172 to 2 986 computations (88.6% saved)

prune151.0ms (3.1%)

Memory
12.9MiB live, 330.7MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1 36321 365
Fresh000
Picked112
Done145
Total1 36571 372
Accuracy
100.0%
Counts
1 372 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.5%
(/.f64 (*.f64 (fma.f64 z x #s(literal 0 binary64)) y) (fma.f64 z z #s(literal 0 binary64)))
93.9%
(/.f64 (*.f64 x y) z)
94.1%
(/.f64 x (/.f64 z y))
76.5%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (/.f64 z x))) y)
93.8%
(*.f64 (/.f64 y z) x)
93.8%
(*.f64 (/.f64 x z) y)
93.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
Compiler

Compiled 71 to 45 computations (36.6% saved)

simplify302.0ms (6.1%)

Memory
-53.2MiB live, 209.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 (fma.f64 z x #s(literal 0 binary64)) y)
cost-diff0
(fma.f64 z z #s(literal 0 binary64))
cost-diff0
(fma.f64 z x #s(literal 0 binary64))
cost-diff768
(/.f64 (*.f64 (fma.f64 z x #s(literal 0 binary64)) y) (fma.f64 z z #s(literal 0 binary64)))
cost-diff-64
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (/.f64 z x))) y)
cost-diff0
(/.f64 z x)
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff1472
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (/.f64 z x)))
Rules
3 032×associate-/r*
2 760×/-lowering-/.f32
2 760×/-lowering-/.f64
1 704×*-lowering-*.f32
1 704×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01663
14251
215747
356245
4230245
5417845
6521645
7584445
8613945
9618345
10618945
11645745
12656945
13656945
0802045
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (- 0 z) (* (neg z) (/ z x))) y)
(/ (- 0 z) (* (neg z) (/ z x)))
(- 0 z)
0
z
(* (neg z) (/ z x))
(neg z)
(/ z x)
x
y
(/ (* (+ (* z x) 0) y) (+ (* z z) 0))
(* (+ (* z x) 0) y)
(+ (* z x) 0)
z
x
0
y
(+ (* z z) 0)
Outputs
(* (/ (- 0 z) (* (neg z) (/ z x))) y)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (- 0 z) (* (neg z) (/ z x)))
(/.f64 x z)
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(* (neg z) (/ z x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(neg z)
(-.f64 #s(literal 0 binary64) z)
(/ z x)
(/.f64 z x)
x
y
(/ (* (+ (* z x) 0) y) (+ (* z z) 0))
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(* (+ (* z x) 0) y)
(fma.f64 z (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* z x) 0)
(fma.f64 z x #s(literal 0 binary64))
z
x
0
#s(literal 0 binary64)
y
(+ (* z z) 0)
(fma.f64 z z #s(literal 0 binary64))

localize47.0ms (1%)

Memory
14.7MiB live, 89.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 z z #s(literal 0 binary64))
accuracy100.0%
(fma.f64 z x #s(literal 0 binary64))
accuracy93.5%
(*.f64 (fma.f64 z x #s(literal 0 binary64)) y)
accuracy65.3%
(/.f64 (*.f64 (fma.f64 z x #s(literal 0 binary64)) y) (fma.f64 z z #s(literal 0 binary64)))
accuracy100.0%
(neg.f64 z)
accuracy99.9%
(*.f64 (neg.f64 z) (/.f64 z x))
accuracy93.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (/.f64 z x))) y)
accuracy73.7%
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (/.f64 z x)))
Samples
30.0ms256×0valid
Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (43.1% of total)
ival-div: 5.0ms (27% of total)
ival-add: 2.0ms (10.8% of total)
ival-sub: 1.0ms (5.4% of total)
ival-neg: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
10 → 240
Calls
Call 1
Inputs
#<alt (/ (- 0 z) (* (neg z) (/ z x)))>
#<alt (- 0 z)>
#<alt (/ z x)>
#<alt (* (/ (- 0 z) (* (neg z) (/ z x))) y)>
#<alt (/ (* (+ (* z x) 0) y) (+ (* z z) 0))>
#<alt (+ (* z x) 0)>
#<alt (+ (* z z) 0)>
#<alt (* (+ (* z x) 0) y)>
#<alt (* (neg z) (/ z x))>
#<alt (neg z)>
Outputs
#<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 (* -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 (/ 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) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x 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 (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* 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 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<alt (* -1 (/ (pow z 2) x))>
#<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

60 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (+ (* z x) 0) y)
0.0ms
y
@inf
(* (+ (* z x) 0) y)
0.0ms
x
@inf
(* (+ (* z x) 0) y)
0.0ms
z
@-inf
(* (+ (* z x) 0) y)
0.0ms
y
@-inf
(* (+ (* z x) 0) y)

rewrite732.0ms (14.9%)

Memory
1.9MiB live, 894.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 606×accelerator-lowering-fma.f32
4 606×accelerator-lowering-fma.f64
3 874×*-lowering-*.f32
3 874×*-lowering-*.f64
3 638×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01655
110337
2102937
3792037
0876737
Stop Event
iter limit
node limit
Counts
10 → 2 788
Calls
Call 1
Inputs
(/ (- 0 z) (* (neg z) (/ z x)))
(- 0 z)
(/ z x)
(* (/ (- 0 z) (* (neg z) (/ z x))) y)
(/ (* (+ (* z x) 0) y) (+ (* z z) 0))
(+ (* z x) 0)
(+ (* z z) 0)
(* (+ (* z x) 0) y)
(* (neg z) (/ z x))
(neg z)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x z))
(+.f64 (/.f64 x z) #s(literal 0 binary64))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)) (/.f64 x z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 x z) (/.f64 x z) #s(literal 0 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 x z) #s(literal 0 binary64))
(-.f64 (/.f64 x z) (/.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z (/.f64 z x) #s(literal 0 binary64)) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))) (/.f64 (fma.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 z (/.f64 z x) #s(literal 0 binary64)) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) #s(literal 0 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (/.f64 x z) (/.f64 x z) #s(literal 0 binary64))))
(fma.f64 z (neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 z (neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 z (/.f64 x (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 z (/.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 z (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 z (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 z (/.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 z (/.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 z (/.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 z (/.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 z x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 z x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 z (*.f64 x (fma.f64 z (fma.f64 x (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 z (*.f64 x (fma.f64 z (fma.f64 x (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 z (*.f64 x (fma.f64 z (fma.f64 x (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 z (*.f64 x (fma.f64 z (fma.f64 x (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 z (fma.f64 x (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 z (fma.f64 x (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 z (fma.f64 x (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) z)) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (/.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 z (/.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64)))

simplify48.0ms (1%)

Memory
12.0MiB live, 131.4MiB allocated
Algorithm
egg-herbie
Rules
86×*-lowering-*.f32
86×*-lowering-*.f64
86×accelerator-lowering-fma.f32
86×accelerator-lowering-fma.f64
72×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016984
130984
245984
363984
489984
5115984
6135984
7183984
8215984
9224984
10225984
0225984
Stop Event
iter limit
saturated
Counts
240 → 240
Calls
Call 1
Inputs
(/ 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)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 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) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x 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)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* 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 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -1 (/ (pow z 2) x))
(* -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 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)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) 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)
(/.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)
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 (/ (pow z 2) x))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z x) #s(literal 0 binary64)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)

eval364.0ms (7.4%)

Memory
26.5MiB live, 637.1MiB allocated
Compiler

Compiled 71 432 to 4 176 computations (94.2% saved)

prune314.0ms (6.4%)

Memory
-19.9MiB live, 566.9MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New3 02623 028
Fresh000
Picked202
Done055
Total3 02873 035
Accuracy
100.0%
Counts
3 035 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.5%
(/.f64 (*.f64 (fma.f64 z x #s(literal 0 binary64)) y) (*.f64 z z))
93.9%
(/.f64 (*.f64 x y) z)
94.1%
(/.f64 x (/.f64 z y))
76.5%
(*.f64 (/.f64 z (fma.f64 z (/.f64 z x) #s(literal 0 binary64))) y)
93.8%
(*.f64 (/.f64 y z) x)
93.8%
(*.f64 (/.f64 x z) y)
93.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
Compiler

Compiled 168 to 81 computations (51.8% saved)

regimes25.0ms (0.5%)

Memory
-14.7MiB live, 26.0MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 (fma.f64 z x #s(literal 0 binary64)) y) (*.f64 z z))
(/.f64 (*.f64 (fma.f64 z x #s(literal 0 binary64)) y) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (/.f64 z (fma.f64 z (/.f64 z x) #s(literal 0 binary64))) y)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (/.f64 z x))) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x))) y)
Outputs
(/.f64 x (/.f64 z y))
(*.f64 (/.f64 x z) y)
Calls

5 calls:

9.0ms
x
4.0ms
z
4.0ms
y
4.0ms
(*.f64 x y)
4.0ms
(/.f64 (*.f64 x y) z)
Results
AccuracySegmentsBranch
97.5%2x
96.2%2y
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)

regimes4.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
Outputs
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x z) y)
Calls

2 calls:

2.0ms
z
2.0ms
(/.f64 (*.f64 x y) z)
Results
AccuracySegmentsBranch
99.7%2z
99.7%2(/.f64 (*.f64 x y) z)
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
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

5 calls:

1.0ms
z
1.0ms
y
1.0ms
x
1.0ms
(*.f64 x y)
1.0ms
(/.f64 (*.f64 x y) z)
Results
AccuracySegmentsBranch
93.8%1y
93.8%1x
93.8%1(*.f64 x y)
93.8%1z
93.8%1(/.f64 (*.f64 x y) z)
Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9134663768822606e+26
1.7870318918871675e+30
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00021330277066187458
0.0033927506507347
Compiler

Compiled 11 to 11 computations (0% saved)

simplify9.0ms (0.2%)

Memory
-22.6MiB live, 15.9MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01741
12041
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 500000000000000006643777536 binary64)) (/.f64 x (/.f64 z y)) (*.f64 (/.f64 x z) y))
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 7378697629483821/18446744073709551616 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
Outputs
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 500000000000000006643777536 binary64)) (/.f64 x (/.f64 z y)) (*.f64 (/.f64 x z) y))
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 500000000000000006643777536 binary64)) (/.f64 x (/.f64 z y)) (*.f64 y (/.f64 x z)))
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 7378697629483821/18446744073709551616 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 7378697629483821/18446744073709551616 binary64)) (*.f64 x (/.f64 y z)) (*.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness117.0ms (2.4%)

Memory
-3.3MiB live, 122.8MiB allocated
Rules
1 066×*-lowering-*.f32
1 066×*-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
fuel
iter limit
iter limit
node limit
Compiler

Compiled 84 to 42 computations (50% saved)

preprocess297.0ms (6.1%)

Memory
33.3MiB live, 460.4MiB allocated
Compiler

Compiled 492 to 266 computations (45.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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