Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

Time bar (total: 2.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample806.0ms (29.9%)

Memory
28.0MiB live, 1 242.2MiB allocated; 319ms collecting garbage
Samples
541.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 258.0ms
ival-mult: 199.0ms (77.2% of total)
ival-sub: 43.0ms (16.7% of total)
ival-true: 6.0ms (2.3% of total)
exact: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

explain78.0ms (2.9%)

Memory
36.9MiB live, 126.5MiB allocated; 19ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-(*.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-z
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
38.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 13.0ms (78.6% of total)
ival-sub: 2.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess57.0ms (2.1%)

Memory
-33.0MiB live, 34.0MiB allocated; 51ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02669
16766
217166
336066
444166
545366
077
0107
1177
2427
3907
41557
51897
01896
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
Symmetry

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify5.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
cost-diff1
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
11719
24219
39019
415519
518919
018918
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
z

localize24.0ms (0.9%)

Memory
-14.3MiB live, 34.6MiB allocated; 9ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
accuracy0.0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
accuracy0.0
(*.f64 y #s(literal 4 binary64))
Samples
18.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (75.3% of total)
ival-sub: 1.0ms (18.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Counts
3 → 12
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
Outputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 y)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms
y
@inf
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms
y
@0
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms
y
@-inf
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms
z
@0
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))

simplify113.0ms (4.2%)

Memory
3.5MiB live, 146.7MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03870
19470
225470
387770
4272970
5481770
6561070
7608670
8772470
0819262
Stop Event
iter limit
node limit
Counts
12 → 11
Calls
Call 1
Inputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 y)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
Outputs
(* -4 (* y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* 4 (* y z))
(*.f64 #s(literal 4 binary64) (*.f64 z y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)

rewrite231.0ms (8.6%)

Memory
9.4MiB live, 280.1MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
13015
220015
3205315
0890214
Stop Event
iter limit
node limit
iter limit
Counts
3 → 309
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (*.f64 z y) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 (*.f64 z #s(literal -4 binary64)) y x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x) (*.f64 x x)))
(*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (/.f64 (fma.f64 (*.f64 z #s(literal -4 binary64)) y x) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)))
(*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 z #s(literal -4 binary64)) y x) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y)) (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y)) (*.f64 x (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) #s(literal 2 binary64)))) (fma.f64 (*.f64 z #s(literal -4 binary64)) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)))) (fma.f64 (*.f64 z #s(literal -4 binary64)) y x))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (neg.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))
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(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 #s(literal 4 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (*.f64 z y))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(*.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 z) (*.f64 (fabs.f64 y) #s(literal 4 binary64)))
(*.f64 (*.f64 (fabs.f64 y) #s(literal 4 binary64)) (fabs.f64 z))
(*.f64 (fabs.f64 (*.f64 z y)) #s(literal 4 binary64))
(*.f64 (*.f64 (fabs.f64 z) #s(literal 4 binary64)) (fabs.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 #s(literal -4 binary64) z)))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 z) #s(literal 4 binary64)))
(*.f64 (*.f64 z y) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z))))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (fabs.f64 (fabs.f64 (*.f64 z y))))
(*.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 (neg.f64 y) z)))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 z y) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 z y)))
(*.f64 #s(literal 4 binary64) (*.f64 z y))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fabs.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(+.f64 (cosh.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) (sinh.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal -4 binary64) y))

eval35.0ms (1.3%)

Memory
23.7MiB live, 68.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 11 053 to 820 computations (92.6% saved)

prune25.0ms (0.9%)

Memory
-42.2MiB live, 16.2MiB allocated; 12ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3112313
Fresh000
Picked101
Done000
Total3122314
Accuracy
100.0%
Counts
314 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
50.8%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify6.0ms (0.2%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
cost-diff0
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01337
01837
13336
26836
312036
417736
017736
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(*.f64 z y)
z
y
#s(literal -4 binary64)
x
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(*.f64 z y)
z
y
#s(literal -4 binary64)
x

localize42.0ms (1.5%)

Memory
-6.6MiB live, 38.4MiB allocated; 6ms collecting garbage
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
accuracy0.0
(*.f64 z y)
accuracy0.0
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy31.476903173610054
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Samples
34.0ms256×0valid
Compiler

Compiled 34 to 15 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 21.0ms (87.5% of total)
ival-sub: 1.0ms (4.2% of total)
ival-add: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Counts
5 → 16
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(*.f64 z y)
Outputs
(* -4 (* y z))
(- x (* 4 (* y z)))
(+ x (* -4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -4 y)
(* y z)
(* y (- (/ x y) (* 4 z)))
(* y (+ (* -4 z) (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* z (- (/ x z) (* 4 y)))
(* z (+ (* -4 y) (/ x z)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z y) -4) x) (* z y))
1.0ms
z
@-inf
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z y) -4) x) (* z y))
1.0ms
y
@inf
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z y) -4) x) (* z y))
1.0ms
y
@0
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z y) -4) x) (* z y))
0.0ms
z
@inf
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z y) -4) x) (* z y))

simplify82.0ms (3%)

Memory
23.5MiB live, 113.5MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04896
113296
238796
3106196
4243496
5425496
6642596
7795596
0801584
Stop Event
iter limit
node limit
Counts
16 → 15
Calls
Call 1
Inputs
(* -4 (* y z))
(- x (* 4 (* y z)))
(+ x (* -4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -4 y)
(* y z)
(* y (- (/ x y) (* 4 z)))
(* y (+ (* -4 z) (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* z (- (/ x z) (* 4 y)))
(* z (+ (* -4 y) (/ x z)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
Outputs
(* -4 (* y z))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y z)
(*.f64 z y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* y (+ (* -4 z) (/ x y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* z (+ (* -4 y) (/ x z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)

rewrite331.0ms (12.3%)

Memory
-18.5MiB live, 290.7MiB allocated; 196ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01330
01830
15629
238629
3423329
0820229
Stop Event
iter limit
node limit
iter limit
Counts
5 → 149
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(*.f64 z y)
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (exp.f64 (log.f64 (*.f64 z y))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 #s(literal -4 binary64))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) y))))
(*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) y)
(*.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) y)
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y))
(*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)))
(*.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z))
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 z) y))
(*.f64 y (neg.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)))) (sinh.f64 (log.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)))))
(*.f64 (neg.f64 y) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal 4 binary64) (neg.f64 y))
(*.f64 y #s(literal -4 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (*.f64 z y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (-.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) #s(literal 4096 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) #s(literal 256 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x) (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -4 binary64) z) y x))
(*.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) z) y x))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)))
(*.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) (/.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) z) y x))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) #s(literal 4096 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) #s(literal 256 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x) (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) y x)
(fma.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) y x)
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 z y)) (/.f64 (*.f64 z y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) z) (/.f64 z (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z) (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y) (/.f64 (*.f64 z #s(literal 4 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64) x)
(fma.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 z z) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (fabs.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64))) (/.f64 (fabs.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64))) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (/.f64 #s(literal -64 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 #s(literal -64 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (/.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) x)
(fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (/.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 z (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) z) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(fma.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 z) y) x)
(fma.f64 y (/.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 y (neg.f64 (*.f64 z #s(literal 4 binary64))) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(-.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(-.f64 x (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y)))
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64))))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(+.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(+.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(+.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) x)
(+.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
(+.f64 x (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal -4 binary64) y)))
(+.f64 x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 z y)
(*.f64 y z)

eval61.0ms (2.3%)

Memory
-15.7MiB live, 28.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 405 to 436 computations (90.1% saved)

prune6.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1521153
Fresh000
Picked022
Done000
Total1523155
Accuracy
100.0%
Counts
155 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
50.8%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
50.8%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Compiler

Compiled 32 to 28 computations (12.5% saved)

simplify6.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 (*.f64 z y) #s(literal -4 binary64))
cost-diff0
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
01324
12424
25024
39624
415824
517524
017523
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)

localize26.0ms (1%)

Memory
-9.0MiB live, 36.4MiB allocated; 5ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z y)
accuracy0.020195019536884032
(*.f64 (*.f64 z y) #s(literal -4 binary64))
accuracy31.476903173610054
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 20 to 12 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (80% of total)
ival-sub: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
3 → 11
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
Outputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* y z)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y))
0.0ms
z
@-inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y))
0.0ms
y
@inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y))
0.0ms
z
@0
((- x (* (* y 4) z)) (* (* z y) -4) (* z y))
0.0ms
y
@0
((- x (* (* y 4) z)) (* (* z y) -4) (* z y))

simplify113.0ms (4.2%)

Memory
-7.8MiB live, 88.5MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03865
19465
225465
387565
4273965
5482965
6562065
7609765
8773565
0801057
Stop Event
iter limit
node limit
Counts
11 → 10
Calls
Call 1
Inputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* y z)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
Outputs
(* -4 (* y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* y z)
(*.f64 z y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)

rewrite207.0ms (7.7%)

Memory
20.6MiB live, 247.4MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
01321
13721
220821
3207621
0854120
Stop Event
iter limit
node limit
iter limit
Counts
3 → 23
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 z (neg.f64 y)) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) y)
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64))
(*.f64 (neg.f64 (*.f64 z y)) #s(literal 4 binary64))
(*.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) y)
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y))
(*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)))
(*.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z))
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) z))
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y)))
(*.f64 y (neg.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 z y)
(*.f64 y z)

eval3.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 344 to 72 computations (79.1% saved)

prune7.0ms (0.3%)

Memory
-33.5MiB live, 10.8MiB allocated; 4ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New25025
Fresh000
Picked011
Done022
Total25328
Accuracy
100.0%
Counts
28 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
50.8%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
50.8%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Compiler

Compiled 71 to 47 computations (33.8% saved)

regimes11.0ms (0.4%)

Memory
36.5MiB live, 36.5MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
Calls

6 calls:

2.0ms
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
2.0ms
x
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
100.0%1(*.f64 y #s(literal 4 binary64))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes75.0ms (2.8%)

Memory
-36.5MiB live, 121.9MiB allocated; 22ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Calls

6 calls:

43.0ms
y
19.0ms
x
9.0ms
z
1.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms
(*.f64 y #s(literal 4 binary64))
Results
AccuracySegmentsBranch
50.8%1(*.f64 y #s(literal 4 binary64))
50.8%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
50.8%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
50.8%1x
50.8%1y
50.8%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

simplify52.0ms (1.9%)

Memory
-6.1MiB live, 39.9MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01319
12019
24419
39419
416719
520119
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Outputs
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))

derivations254.0ms (9.4%)

Memory
15.5MiB live, 256.4MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03870
19470
225470
387770
4272970
5481770
6561070
7608670
8772470
0819262
0715
01015
13015
220015
3205315
0890214
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess22.0ms (0.8%)

Memory
5.3MiB live, 50.3MiB allocated; 6ms collecting garbage
Remove

(sort y z)

Compiler

Compiled 64 to 52 computations (18.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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