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

Time bar (total: 3.2s)

analyze39.0ms (1.2%)

Memory
-7.2MiB live, 74.6MiB 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)

sample930.0ms (29.1%)

Memory
-2.5MiB live, 1 113.3MiB allocated
Samples
526.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-div: 255.0ms (77.4% of total)
ival-mult: 65.0ms (19.7% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess60.0ms (1.9%)

Memory
6.6MiB live, 45.0MiB allocated
Algorithm
egg-herbie
Rules
818×times-frac
190×distribute-lft-in
186×associate-*r/
186×associate-/r*
180×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02156
15948
214648
349048
4122748
5192248
6197648
7199448
8203448
9205848
055
075
1105
2135
3145
0145
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) z)
Outputs
(/.f64 (*.f64 x y) z)
Symmetry

(negabs z)

(negabs y)

(negabs x)

(sort x y)

explain78.0ms (2.5%)

Memory
-12.9MiB live, 70.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-1(1.3275348563968968e-258 5.288955145941267e-64 4.638307148716143e-149)(/.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/n90
(*.f64 x y)overflow31
/.f64(/.f64 (*.f64 x y) z)u/n70
(*.f64 x y)underflow30
Confusion
Predicted +Predicted -
+161
-0239
Precision
1.0
Recall
0.9411764705882353
Confusion?
Predicted +Predicted MaybePredicted -
+1601
-00239
Precision?
1.0
Recall?
0.9411764705882353
Freqs
test
numberfreq
0240
116
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
21.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (48% of total)
ival-div: 3.0ms (36% 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
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.8%
(/.f64 (*.f64 x y) z)
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify5.0ms (0.2%)

Memory
3.9MiB live, 3.9MiB 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×lower-*.f32
10×lower-*.f64
*-commutative
lower-/.f32
associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11011
21311
31411
01411
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
Outputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z

localize15.0ms (0.5%)

Memory
13.7MiB live, 13.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy93.8%
(/.f64 (*.f64 x y) z)
Samples
10.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (55.2% of total)
ival-mult: 2.0ms (55.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
2 → 60
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 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)
1.0ms
x
@-inf
(/ (* x y) z)

rewrite174.0ms (5.4%)

Memory
-12.9MiB live, 99.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 066×lower-*.f32
1 064×lower-*.f64
848×lower-/.f32
846×lower-/.f64
234×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1188
2718
33618
023678
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
2 → 132
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(+.f64 (*.f64 (/.f64 #s(literal -1 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)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 x)) z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y (neg.f64 x))))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) y))
(/.f64 (/.f64 (*.f64 y (neg.f64 x)) z) #s(literal -1 binary64))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (neg.f64 z) (*.f64 x (*.f64 y (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (neg.f64 z) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (*.f64 y (neg.f64 x)))) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 x y))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 y (neg.f64 x)))) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) z))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal -1 binary64)) (*.f64 (*.f64 x y) z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 (neg.f64 z) (*.f64 x (*.f64 y (*.f64 x y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (neg.f64 z) (*.f64 x y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 z (*.f64 x (*.f64 y (*.f64 x y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 z (*.f64 x y)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 z (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 z) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 y (neg.f64 x)) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 y (neg.f64 x)) z) (/.f64 (*.f64 y (neg.f64 x)) z) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 x)) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) z) (/.f64 (*.f64 y (neg.f64 x)) z))) (/.f64 (*.f64 y (neg.f64 x)) z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 x (*.f64 y (*.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal -1 binary64) z)) (*.f64 x (*.f64 y (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 x y))
(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 (*.f64 x y) z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 z (*.f64 x y)))) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 y z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 x)) z))
(*.f64 (neg.f64 y) (/.f64 x (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (/.f64 y (neg.f64 z)))
(*.f64 (/.f64 (*.f64 y (neg.f64 x)) 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 (*.f64 x y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 x y)))
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 x))
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 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) (*.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 z (neg.f64 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) (*.f64 x y))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 x (neg.f64 z)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 y (neg.f64 z)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)) (neg.f64 y))
(*.f64 (/.f64 (*.f64 y (neg.f64 x)) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z z))
(*.f64 (/.f64 (*.f64 y (neg.f64 x)) (neg.f64 (*.f64 z z))) z)
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 x)))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y) #s(literal 0 binary64))
(neg.f64 (*.f64 y (neg.f64 x)))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 y (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 y (neg.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 x (*.f64 y (*.f64 x y))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 x y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 x (*.f64 y (*.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 x y))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (neg.f64 x)) #s(literal 3 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (*.f64 y (neg.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x)))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))

simplify7.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB allocated
Algorithm
egg-herbie
Rules
12×lower-*.f64
12×lower-*.f32
*-commutative
lower-/.f32
lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval24.0ms (0.7%)

Memory
-15.2MiB live, 26.5MiB allocated
Compiler

Compiled 1 786 to 295 computations (83.5% saved)

prune22.0ms (0.7%)

Memory
-2.6MiB live, 36.7MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1866192
Fresh000
Picked011
Done000
Total1867193
Accuracy
100.0%
Counts
193 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.8%
(/.f64 (*.f64 x y) z)
90.7%
(/.f64 y (/.f64 z x))
93.8%
(/.f64 x (/.f64 z y))
93.5%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
93.6%
(*.f64 (/.f64 y z) x)
91.3%
(*.f64 (/.f64 x z) y)
93.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
Compiler

Compiled 112 to 73 computations (34.8% saved)

simplify7.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z x)
cost-diff384
(/.f64 y (/.f64 z x))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
(/.f64 z y)
cost-diff384
(/.f64 x (/.f64 z y))
Rules
52×lower-*.f32
44×lower-*.f64
28×associate-*r*
26×lower-/.f32
20×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01561
02659
13859
25359
37759
48859
59659
09659
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 z y))
x
(/.f64 z y)
z
y
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 x y)
x
y
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
Outputs
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
x
(/.f64 z y)
z
y
(*.f64 (/.f64 x z) y)
(/.f64 (*.f64 x y) z)
(/.f64 x z)
x
z
y
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(/.f64 y z)
y
z
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(/.f64 (*.f64 x y) z)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 x y)
x
y
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
y
(/.f64 z x)
z
x

localize85.0ms (2.7%)

Memory
8.6MiB live, 82.6MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 z x)
accuracy90.7%
(/.f64 y (/.f64 z x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 x y)
accuracy93.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
accuracy100.0%
(/.f64 y z)
accuracy93.6%
(*.f64 (/.f64 y z) x)
accuracy100.0%
(/.f64 x z)
accuracy91.3%
(*.f64 (/.f64 x z) y)
accuracy100.0%
(/.f64 z y)
accuracy93.8%
(/.f64 x (/.f64 z y))
Samples
48.0ms256×0valid
Compiler

Compiled 63 to 17 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 29.0ms (82.6% of total)
ival-mult: 6.0ms (17.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series49.0ms (1.5%)

Memory
10.5MiB live, 55.1MiB allocated
Counts
11 → 312
Calls
Call 1
Inputs
#<alt (/.f64 x (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (*.f64 (/.f64 x z) y)>
#<alt (/.f64 x z)>
#<alt (*.f64 (/.f64 y z) x)>
#<alt (/.f64 y z)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (*.f64 x y)>
#<alt (/.f64 y (/.f64 z x))>
#<alt (/.f64 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 (/ 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 (/ 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 y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* 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)>
Calls

78 calls:

TimeVariablePointExpression
23.0ms
x
@-inf
(/ x z)
2.0ms
z
@0
(/ 1 z)
0.0ms
z
@-inf
(/ z y)
0.0ms
y
@-inf
(* (/ y z) x)
0.0ms
x
@-inf
(/ x (/ z y))

rewrite306.0ms (9.6%)

Memory
5.1MiB live, 243.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 696×lower-*.f32
2 688×lower-*.f64
1 776×lower--.f32
1 776×lower--.f64
1 758×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01545
02643
17043
228843
3140343
4547443
0857643
Stop Event
iter limit
node limit
iter limit
Counts
11 → 845
Calls
Call 1
Inputs
(/.f64 x (/.f64 z y))
(/.f64 z y)
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(/.f64 #s(literal 1 binary64) z)
(*.f64 x y)
(/.f64 y (/.f64 z x))
(/.f64 z x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(+.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 0 binary64)) (/.f64 (*.f64 x y) z))
(+.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(literal 0 binary64)) (/.f64 (*.f64 x y) z))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y)))) #s(literal -1/2 binary64)))
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(*.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 x)) z))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 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 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x))
(*.f64 (/.f64 (*.f64 y (neg.f64 x)) z) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 x) z) (neg.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 x (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(+.f64 (/.f64 z x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 z x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 z x))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 z x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 x z))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 z (neg.f64 x)))
(fma.f64 z (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) #s(literal 0 binary64))
(fma.f64 (/.f64 z x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) z #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 z x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(/.f64 x (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) z)))
(/.f64 z x)
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))))
(/.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 x z)))
(/.f64 (neg.f64 z) (neg.f64 x))
(/.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) z))
(/.f64 (pow.f64 z #s(literal 1/2 binary64)) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 z (/.f64 z x)) x)))
(/.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (/.f64 z x)) x)))
(/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 (neg.f64 x) (*.f64 z z)))
(/.f64 (neg.f64 (/.f64 (*.f64 z (/.f64 z x)) x)) (/.f64 z (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 z z)) (*.f64 (neg.f64 x) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) z)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 z x))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 z))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 z (neg.f64 x)))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) (/.f64 x z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (/.f64 (neg.f64 x) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (/.f64 z x)) x)) (*.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (*.f64 (neg.f64 x) (/.f64 (*.f64 z (/.f64 z x)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 z (/.f64 z x)) x)))) (*.f64 (neg.f64 x) (/.f64 z x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 z (/.f64 z x)) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 z (/.f64 z x)) x))) (/.f64 z x))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 z (/.f64 z x)) x) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 z x) (/.f64 z x) (*.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x))))))
(/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 z z))) (/.f64 #s(literal -1 binary64) x)) (*.f64 z z))
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal -1 binary64) x)) z)
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 z (/.f64 z x)) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 x z) (/.f64 x z)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))

simplify24.0ms (0.8%)

Memory
-20.4MiB live, 61.2MiB allocated
Algorithm
egg-herbie
Rules
12×lower-*.f64
12×lower-/.f32
12×lower-/.f64
12×lower-*.f32
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111296
1151296
2171296
3181296
0181296
Stop Event
iter limit
saturated
Counts
312 → 312
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)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ 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 y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
Outputs
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(*.f64 x (/.f64 y z))
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(*.f64 x (/.f64 y z))
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(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(*.f64 x (/.f64 y z))
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(/ (* x y) z)
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(/ (* x y) z)
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(/ 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)
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(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
(*.f64 x y)
(* x y)
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(/ (* x y) z)
(*.f64 x (/.f64 y z))
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ z x)
(/.f64 z x)
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(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
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(/.f64 z x)
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(/.f64 z x)
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(/.f64 z x)
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(/.f64 z x)
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(/.f64 z x)
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(/.f64 z x)
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eval114.0ms (3.6%)

Memory
31.4MiB live, 295.9MiB allocated
Compiler

Compiled 11 753 to 1 199 computations (89.8% saved)

prune79.0ms (2.5%)

Memory
-55.9MiB live, 176.5MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1 15611 157
Fresh011
Picked055
Done011
Total1 15681 164
Accuracy
100.0%
Counts
1 164 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.8%
(/.f64 (*.f64 x y) z)
90.7%
(/.f64 y (/.f64 z x))
93.8%
(/.f64 x (/.f64 z y))
93.5%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
93.6%
(*.f64 (/.f64 y z) x)
91.3%
(*.f64 (/.f64 x z) y)
93.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
91.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
Compiler

Compiled 70 to 46 computations (34.3% saved)

simplify7.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 z (*.f64 x y))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
Rules
52×lower-*.f32
46×lower-*.f64
36×lower-/.f32
30×associate-*r*
30×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
01638
12632
24632
38232
49432
09432
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
y
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
#s(literal 1 binary64)
(/.f64 z (*.f64 x y))
z
(*.f64 x y)
x
y
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(/.f64 (*.f64 x y) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 x z)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
y
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 x y) z)
#s(literal 1 binary64)
(/.f64 z (*.f64 x y))
z
(*.f64 x y)
x
y

localize33.0ms (1%)

Memory
-7.7MiB live, 68.3MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
accuracy94.1%
(/.f64 z (*.f64 x y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
accuracy91.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
Samples
21.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 7.0ms (58.8% of total)
ival-mult: 4.0ms (33.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.5%)

Memory
-0.9MiB live, 36.9MiB allocated
Counts
6 → 168
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) x)>
#<alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))>
#<alt (/.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
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 (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* 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) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* 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 y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* 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)>
Calls

42 calls:

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

rewrite224.0ms (7%)

Memory
20.4MiB live, 444.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 914×lower-*.f32
2 908×lower-*.f64
1 968×lower-fma.f64
1 968×lower-fma.f32
1 682×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
01630
14624
219224
395424
4541624
0811724
Stop Event
iter limit
node limit
iter limit
Counts
6 → 651
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 z (*.f64 x y))
(*.f64 x y)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x z)))
(neg.f64 (neg.f64 (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 x z)
(/.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 x z)) #s(literal -1 binary64))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (/.f64 x z)) #s(literal -1 binary64))
(*.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z z))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 (*.f64 x y) z))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z (*.f64 x y)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 z (*.f64 x y)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x y) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 z x))) (neg.f64 (/.f64 (*.f64 x y) z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(neg.f64 (neg.f64 (/.f64 (*.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 z (*.f64 (neg.f64 z) (/.f64 z (*.f64 x (neg.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x y))))
(/.f64 x (/.f64 z y))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (neg.f64 y))))
(/.f64 (neg.f64 z) (*.f64 (neg.f64 z) (/.f64 z (*.f64 x y))))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 x y) z)) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 z y)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 x y) z))))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (neg.f64 z) (*.f64 x (*.f64 y (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (neg.f64 z) (*.f64 x y)))
(/.f64 (neg.f64 (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) z))) (/.f64 z (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 x y))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 x (neg.f64 y)))) (*.f64 (neg.f64 z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (neg.f64 (/.f64 (*.f64 x y) z)))) (neg.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (/.f64 z (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 z) (neg.f64 (/.f64 x z)))) (neg.f64 (/.f64 z y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 z y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z (*.f64 x (neg.f64 y))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 x y) z)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x y) z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 x y) z)))) (neg.f64 (/.f64 (*.f64 x y) z)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 x (*.f64 y (*.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal -1 binary64) z)) (*.f64 x (*.f64 y (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 x y))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 z x))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 z))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x (neg.f64 y)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (*.f64 x y) z)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 x y)))) z)
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x z))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 x (neg.f64 y))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 x (neg.f64 y))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 x (neg.f64 y))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 z x)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 y))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y z))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (*.f64 x y) z)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 x y) z))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 z y)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (*.f64 x y) z)))))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 x y) z))) #s(literal -2 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 z (*.f64 x y)) z) (*.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 x y))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x y) z)))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64))
(*.f64 (neg.f64 (/.f64 (*.f64 x y) z)) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (neg.f64 (/.f64 x z)))
(*.f64 (neg.f64 x) (/.f64 y (neg.f64 z)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (sqrt.f64 (/.f64 (*.f64 x y) z)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 x y) z))) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 x (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y z) x)
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) z))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (*.f64 x y) z))))
(*.f64 (pow.f64 (neg.f64 z) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (*.f64 x y) z))))
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (*.f64 x y) z))))
(*.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 x (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))))
(*.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (*.f64 x y) z))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 x y) z))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 x y) z))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 x y) z))) (/.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(*.f64 (neg.f64 (/.f64 x z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 x))
(*.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
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(*.f64 (*.f64 z (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (/.f64 z x)))
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 x (*.f64 y (*.f64 x y))))
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 x y))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.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 (*.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(neg.f64 (*.f64 x (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 x (*.f64 y (*.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 x y))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 x (*.f64 y (*.f64 x y))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) #s(literal -1 binary64)) (*.f64 x (*.f64 y (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal -1 binary64)) (*.f64 x y))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify16.0ms (0.5%)

Memory
14.3MiB live, 50.3MiB allocated
Algorithm
egg-herbie
Rules
18×lower-/.f32
18×lower-/.f64
12×lower-*.f64
12×lower-*.f32
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09720
116720
220720
321720
021720
Stop Event
iter limit
saturated
Counts
168 → 168
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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* 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) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ 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)
(* x y)
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)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.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)
(* x y)
(*.f64 x y)

eval93.0ms (2.9%)

Memory
-18.7MiB live, 233.1MiB allocated
Compiler

Compiled 9 683 to 1 316 computations (86.4% saved)

prune71.0ms (2.2%)

Memory
14.8MiB live, 216.3MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New8190819
Fresh000
Picked022
Done066
Total8198827
Accuracy
100.0%
Counts
827 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.8%
(/.f64 (*.f64 x y) z)
90.7%
(/.f64 y (/.f64 z x))
93.8%
(/.f64 x (/.f64 z y))
93.5%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
93.6%
(*.f64 (/.f64 y z) x)
91.3%
(*.f64 (/.f64 x z) y)
93.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
91.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
Compiler

Compiled 119 to 66 computations (44.5% saved)

regimes16.0ms (0.5%)

Memory
8.2MiB live, 47.6MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
Outputs
(*.f64 (/.f64 y z) x)
(/.f64 y (/.f64 z x))
Calls

5 calls:

4.0ms
(*.f64 x y)
3.0ms
y
3.0ms
x
3.0ms
(/.f64 (*.f64 x y) z)
3.0ms
z
Results
AccuracySegmentsBranch
97.0%2x
96.6%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)

regimes6.0ms (0.2%)

Memory
-23.7MiB live, 17.4MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(/.f64 x (/.f64 z y))
Outputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
Calls

2 calls:

3.0ms
(/.f64 (*.f64 x y) z)
2.0ms
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 (0.2%)

Memory
20.1MiB live, 20.1MiB 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
(*.f64 x y)
1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 x y) z)
Results
AccuracySegmentsBranch
91.3%1y
91.3%1x
91.3%1(*.f64 x y)
91.3%1(/.f64 (*.f64 x y) z)
91.3%1z
Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.757627896164529e-66
2.6642073268082804e-61
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch12.0ms (0.4%)

Memory
-9.2MiB live, 30.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
6.64093260871866e-81
1.2083420342176678e-73
Samples
5.0ms144×0valid
Compiler

Compiled 173 to 119 computations (31.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (45.8% of total)
ival-mult: 1.0ms (45.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.2%)

Memory
-19.4MiB live, 20.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01737
12037
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 4742843975160471/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (*.f64 (/.f64 y z) x) (/.f64 y (/.f64 z x)))
(if (<=.f64 z #s(literal 7175581448796807/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)
Outputs
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 4742843975160471/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (*.f64 (/.f64 y z) x) (/.f64 y (/.f64 z x)))
(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 4742843975160471/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (*.f64 x (/.f64 y z)) (/.f64 y (/.f64 z x)))
(if (<=.f64 z #s(literal 7175581448796807/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x))
(if (<=.f64 z #s(literal 7175581448796807/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (*.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness270.0ms (8.4%)

Memory
-14.9MiB live, 157.5MiB allocated
Rules
1 066×lower-*.f32
1 064×lower-*.f64
848×lower-/.f32
846×lower-/.f64
234×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1188
2718
33618
023678
Stop Event
done
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 80 to 42 computations (47.5% saved)

preprocess397.0ms (12.4%)

Memory
39.5MiB live, 348.6MiB allocated
Compiler

Compiled 484 to 266 computations (45% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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