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

Time bar (total: 2.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB 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)

sample1.0s (36.8%)

Memory
34.3MiB live, 617.1MiB allocated
Samples
541.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 285.0ms
ival-mult: 219.0ms (76.9% of total)
ival-sub: 51.0ms (17.9% of total)
ival-true: 6.0ms (2.1% of total)
exact: 5.0ms (1.8% of total)
ival-assert: 4.0ms (1.4% of total)
Bogosity

explain175.0ms (6.3%)

Memory
-19.1MiB live, 123.3MiB allocated
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
81.0ms512×0valid
Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (69.5% of total)
ival-sub: 2.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess90.0ms (3.2%)

Memory
-11.6MiB live, 59.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02669
19266
225663
363063
4103463
5113563
6114863
7114863
077
0107
1197
2527
31297
42987
54527
65077
75377
85417
05416
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify18.0ms (0.6%)

Memory
17.1MiB live, 17.1MiB 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-diff128
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
11919
25219
312919
429819
545219
650719
753719
854119
054118
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

localize31.0ms (1.1%)

Memory
-22.0MiB live, 25.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal 4 binary64))
accuracy0.00390625
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
accuracy0.2414348846969945
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
Samples
23.0ms256×0valid
Compiler

Compiled 40 to 16 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (58.6% of total)
ival-sub: 1.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB 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
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))

simplify147.0ms (5.3%)

Memory
-1.6MiB live, 74.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03870
110670
228370
3107670
4324070
5521970
6622370
7668970
8714070
9766470
0804462
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 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) 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 z y) #s(literal -4 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)

rewrite247.0ms (8.9%)

Memory
-6.3MiB live, 192.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
13215
223215
3242015
0881514
Stop Event
iter limit
node limit
iter limit
Counts
3 → 482
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 z y) #s(literal -4 binary64)) (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 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #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 (/.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #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)))) (neg.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 (/.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #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 y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (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 -1 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))
(*.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 -1 binary64)) (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 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))
(*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64)))
(*.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 z (*.f64 #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 (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 z (*.f64 #s(literal 4 binary64) y) x) (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 -1 binary64))))
(*.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 (neg.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 -1 binary64)))
(*.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 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x) (*.f64 x x)) #s(literal -1 binary64)))
(*.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 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 1 binary64))
(/.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 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.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 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (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 -1 binary64)))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64))) (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 -1 binary64)))) (neg.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.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 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 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 z (*.f64 #s(literal 4 binary64) y) x))
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(+.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 (fabs.f64 (*.f64 (neg.f64 z) y)) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y))) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 z (neg.f64 y))) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 z #s(literal -1 binary64))) (*.f64 (fabs.f64 y) #s(literal 4 binary64)))
(*.f64 (fabs.f64 (*.f64 (neg.f64 y) z)) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z) y)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y) z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) (*.f64 z #s(literal 4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (neg.f64 z))) (sqrt.f64 (*.f64 #s(literal 4 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 #s(literal -4 binary64) y))) (sqrt.f64 z))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z)) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) y))) (sqrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 z y))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (fabs.f64 z) #s(literal 4 binary64)) (*.f64 y y))) (sqrt.f64 (*.f64 (fabs.f64 z) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) (*.f64 #s(literal 16 binary64) (*.f64 y y)))) (sqrt.f64 (fabs.f64 z)))
(*.f64 (sqrt.f64 (fabs.f64 z)) (sqrt.f64 (*.f64 (fabs.f64 z) (*.f64 #s(literal 16 binary64) (*.f64 y y)))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) (*.f64 z (*.f64 #s(literal 4 binary64) y)))) (sqrt.f64 (*.f64 (fabs.f64 y) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 y) #s(literal 4 binary64))) (sqrt.f64 (*.f64 (fabs.f64 z) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(*.f64 (sqrt.f64 (fabs.f64 y)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) (fabs.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 z y) #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) (sqrt.f64 (*.f64 z (*.f64 (*.f64 z y) #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 4 binary64))) (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z)) (sqrt.f64 (*.f64 #s(literal 4 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) z)) (sqrt.f64 z))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y)) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64))))
(*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 (*.f64 z y) #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) z)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) y)) (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 z y) #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z)))
(*.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 (*.f64 #s(literal -4 binary64) z) (*.f64 (*.f64 z y) #s(literal -4 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 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 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(*.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 z) (*.f64 (fabs.f64 y) #s(literal 4 binary64)))
(*.f64 (*.f64 (fabs.f64 y) #s(literal 4 binary64)) (fabs.f64 z))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 z) #s(literal 4 binary64)))
(*.f64 (*.f64 z y) #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.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 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 y (neg.f64 z))))
(*.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 (neg.f64 y) z)))
(*.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 z y) #s(literal -4 binary64)) #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))
(/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fabs.f64 (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))))
(neg.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(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 -1 binary64) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y))
(*.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))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) y))

eval86.0ms (3.1%)

Memory
17.3MiB live, 132.3MiB allocated
Compiler

Compiled 13 430 to 1 095 computations (91.8% saved)

prune9.0ms (0.3%)

Memory
-4.2MiB live, 34.5MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New4842486
Fresh000
Picked101
Done000
Total4852487
Accuracy
100.0%
Counts
487 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
48.4%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify24.0ms (0.9%)

Memory
-20.0MiB live, 32.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -4 binary64) z)
cost-diff0
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
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: 1 (0.0ms)

IterNodesCost
01337
01837
13536
27836
316836
432436
544636
650636
753236
853636
053636
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)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
x
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
x

localize39.0ms (1.4%)

Memory
2.1MiB live, 39.9MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
accuracy0
(*.f64 #s(literal -4 binary64) z)
accuracy0
(*.f64 z y)
accuracy0.014003759768442016
(*.f64 (*.f64 z y) #s(literal -4 binary64))
accuracy33.02615017643034
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Samples
21.0ms256×0valid
Compiler

Compiled 71 to 28 computations (60.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (75.2% of total)
ival-sub: 1.0ms (8.4% of total)
ival-add: 1.0ms (8.4% 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
13.2MiB live, 13.2MiB allocated
Counts
5 → 16
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)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)
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)))
(* 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))))
(* -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
z
@-inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms
z
@0
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms
y
@-inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms
z
@inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
0.0ms
y
@0
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))

simplify95.0ms (3.4%)

Memory
-11.0MiB live, 145.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04896
114496
241496
3126296
4341496
5632696
0822184
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)))
(* 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))))
(* -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) y) z x)
(+ 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)
(* y z)
(*.f64 z y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* y (+ (* -4 z) (/ x y)))
(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)
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* z (+ (* -4 y) (/ x z)))
(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)
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)

rewrite210.0ms (7.6%)

Memory
43.6MiB live, 234.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01330
01830
15829
244229
3520329
0828529
Stop Event
iter limit
node limit
iter limit
Counts
5 → 244
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)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(*.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (exp.f64 (log.f64 (*.f64 z 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 (neg.f64 z))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z))) (exp.f64 (log.f64 y)))
(*.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 z #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) 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 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal -1 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 z) y))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)))))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) z) y) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) 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 #s(literal -4 binary64) z) y 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)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) 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 y) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.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 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)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) 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 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64) x)
(fma.f64 z (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) z) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)))))
(fma.f64 z (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 16 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)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) 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 (*.f64 #s(literal 16 binary64) (*.f64 z y)) z) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)))))
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 z 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 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(fma.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.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)))))
(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))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 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 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 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))) (neg.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 (*.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))) (neg.f64 (*.f64 x (/.f64 x (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 #s(literal -4 binary64) z) y) 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 (neg.f64 (neg.f64 y)) (*.f64 #s(literal -4 binary64) z)))
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (neg.f64 z) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 z))
(neg.f64 (*.f64 z #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64)))

eval31.0ms (1.1%)

Memory
-21.6MiB live, 64.4MiB allocated
Compiler

Compiled 7 227 to 576 computations (92% saved)

prune8.0ms (0.3%)

Memory
-16.4MiB live, 22.8MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2490249
Fresh000
Picked022
Done000
Total2492251
Accuracy
100.0%
Counts
251 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
48.4%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes11.0ms (0.4%)

Memory
30.4MiB live, 30.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
Calls

6 calls:

2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
z
2.0ms
y
2.0ms
x
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)

regimes10.0ms (0.3%)

Memory
-16.9MiB live, 21.9MiB 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 z y) #s(literal -4 binary64)))
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Calls

6 calls:

3.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
1.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
48.4%1x
48.4%1y
48.4%1z
48.4%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
48.4%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
48.4%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

simplify29.0ms (1%)

Memory
25.0MiB live, 63.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01319
11619
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 y z) #s(literal -4 binary64)))

soundness447.0ms (16.1%)

Memory
-25.7MiB live, 216.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03870
110670
228370
3107670
4324070
5521970
6622370
7668970
8714070
9766470
0804462
0715
01015
13215
223215
3242015
0881514
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 37 to 29 computations (21.6% saved)

preprocess34.0ms (1.2%)

Memory
17.1MiB live, 93.9MiB allocated
Compiler

Compiled 88 to 76 computations (13.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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