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

Time bar (total: 2.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
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)

sample619.0ms (26.9%)

Memory
11.4MiB live, 990.3MiB allocated
Samples
402.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 223.0ms
ival-mult: 152.0ms (68.2% of total)
ival-sub: 56.0ms (25.1% of total)
ival-true: 6.0ms (2.7% of total)
exact: 5.0ms (2.2% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain70.0ms (3%)

Memory
-15.4MiB live, 157.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
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-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 y #s(literal 4 binary64)) z)n*o10
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (63.8% of total)
ival-sub: 2.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess24.0ms (1%)

Memory
9.0MiB live, 46.3MiB allocated
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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
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)

simplify10.0ms (0.4%)

Memory
-25.4MiB live, 15.4MiB allocated
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

localize16.0ms (0.7%)

Memory
32.9MiB live, 32.9MiB allocated
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
12.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61% of total)
ival-sub: 1.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.4%)

Memory
-26.4MiB live, 12.1MiB allocated
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
4.0ms
x
@inf
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
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))

simplify114.0ms (5%)

Memory
10.5MiB live, 130.9MiB allocated
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)

rewrite193.0ms (8.4%)

Memory
23.3MiB live, 212.2MiB allocated
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))

eval55.0ms (2.4%)

Memory
-22.9MiB live, 50.7MiB allocated
Compiler

Compiled 11 053 to 820 computations (92.6% saved)

prune4.0ms (0.2%)

Memory
13.9MiB live, 13.9MiB allocated
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)
47.2%
#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
4.3MiB live, 4.3MiB allocated
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

localize64.0ms (2.8%)

Memory
-31.9MiB live, 57.9MiB allocated
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)
accuracy33.781373430329694
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Samples
52.0ms256×0valid
Compiler

Compiled 34 to 15 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 9.0ms (45.8% of total)
ival-mult: 9.0ms (45.8% of total)
ival-sub: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
9.5MiB live, 9.5MiB allocated
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
y
@0
((- 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
z
@-inf
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z y) -4) x) (* z y))
1.0ms
x
@-inf
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z y) -4) x) (* z y))

simplify82.0ms (3.6%)

Memory
23.8MiB live, 59.9MiB allocated
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)

rewrite184.0ms (8%)

Memory
-2.1MiB live, 183.7MiB allocated
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 (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)

eval36.0ms (1.5%)

Memory
15.0MiB live, 65.2MiB allocated
Compiler

Compiled 4 405 to 436 computations (90.1% saved)

prune8.0ms (0.4%)

Memory
-25.6MiB live, 12.7MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh000
Picked022
Done000
Total1532155
Accuracy
100.0%
Counts
155 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
47.2%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes10.0ms (0.4%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(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
(*.f64 y #s(literal 4 binary64))
2.0ms
x
2.0ms
z
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes7.0ms (0.3%)

Memory
12.9MiB live, 12.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms
x
1.0ms
y
1.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
Results
AccuracySegmentsBranch
47.2%1x
47.2%1y
47.2%1z
47.2%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
47.2%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
47.2%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

simplify72.0ms (3.1%)

Memory
-25.6MiB live, 13.1MiB allocated
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))

soundness680.0ms (29.5%)

Memory
-0.0MiB live, 154.1MiB allocated
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 37 to 29 computations (21.6% saved)

preprocess35.0ms (1.5%)

Memory
5.5MiB live, 44.5MiB allocated
Remove

(sort y z)

Compiler

Compiled 64 to 52 computations (18.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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