Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 4.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×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 11 to 10 computations (9.1% saved)

sample767.0ms (16%)

Memory
37.9MiB live, 1 098.4MiB allocated
Samples
510.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 252.0ms
ival-mult: 201.0ms (79.8% of total)
ival-sub: 36.0ms (14.3% of total)
ival-true: 6.0ms (2.4% of total)
exact: 5.0ms (2% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain89.0ms (1.9%)

Memory
3.1MiB live, 163.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
70-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-y
00-0-(*.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))nan-rescue70
↳(*.f64 x x)overflow70
↳(*.f64 (*.f64 y #s(literal 4 binary64)) z)overflow32
Confusion
Predicted +Predicted -
+70
-0249
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+700
-00249
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0249
17
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms512×0valid
Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 13.0ms (80.3% of total)
ival-sub: 2.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess78.0ms (1.6%)

Memory
-3.7MiB live, 34.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03088
19984
227381
363081
496581
5109381
6113781
7113781
089
0129
1219
2519
31019
41369
51789
62389
72979
83989
94539
104839
04838
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
Symmetry

(abs x)

(sort y z)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.9%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify14.0ms (0.3%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
cost-diff0
(*.f64 x x)
cost-diff128
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
12124
25124
310124
413624
517824
623824
729724
839824
945324
1048324
048323
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 x 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

localize113.0ms (2.4%)

Memory
-16.7MiB live, 20.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y #s(literal 4 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.2417211994858751
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
accuracy1.6132729933208234
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Samples
108.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 97.0ms (98.8% of total)
ival-sub: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
4 → 11
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
Outputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* 4 (* y z))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
Calls

9 calls:

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

simplify170.0ms (3.5%)

Memory
-27.0MiB live, 142.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03679
19679
228279
3106879
4310379
5592979
6772179
0807072
Stop Event
1×iter limit
1×node limit
Counts
11 → 11
Calls
Call 1
Inputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* 4 (* y z))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
Outputs
(* -4 (* y z))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(* 4 (* y z))
(*.f64 #s(literal 4 binary64) (*.f64 z y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (- (/ (pow x 2) y) (* 4 z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(* z (- (/ (pow x 2) z) (* 4 y)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))

rewrite240.0ms (5%)

Memory
24.9MiB live, 264.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01220
13620
224220
3228520
0842019
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 199
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (*.f64 z y) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (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 6 binary64)))) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))))
(*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (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) (*.f64 x 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) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #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 6 binary64))) (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 z (*.f64 #s(literal 4 binary64) y))))))
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eval101.0ms (2.1%)

Memory
3.8MiB live, 39.3MiB allocated
Compiler

Compiled 8 139 to 626 computations (92.3% saved)

prune15.0ms (0.3%)

Memory
-25.2MiB live, 13.5MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2013204
Fresh000
Picked101
Done000
Total2023205
Accuracy
100.0%
Counts
205 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
▶98.8%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
▶52.5%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify15.0ms (0.3%)

Memory
27.8MiB live, 27.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01664
02364
14063
26563
310463
414163
518363
624363
730363
840463
945963
1048963
048963
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* x 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 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
x
(*.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 (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
(*.f64 x x)
x
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
x
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
(*.f64 x x)
x

localize43.0ms (0.9%)

Memory
-10.7MiB live, 71.0MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal -4 binary64) z)
accuracy1.0038952404222408
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
accuracy0.0
(*.f64 z y)
accuracy0.0078125
(*.f64 (*.f64 z y) #s(literal -4 binary64))
accuracy0.7617104928166806
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
accuracy0.0
(*.f64 z y)
accuracy0.0078125
(*.f64 (*.f64 z y) #s(literal -4 binary64))
accuracy30.386839760828465
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Samples
31.0ms256×0valid
Compiler

Compiled 126 to 33 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 17.0ms (84.2% of total)
ival-add: 2.0ms (9.9% of total)
ival-sub: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-16.7MiB live, 20.1MiB allocated
Counts
7 → 15
Calls
Call 1
Inputs
#s(approx (- (* x 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 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
(*.f64 x x)
Outputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(+ (* -4 (* y z)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* y z)
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* -4 z)
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* x x) (* (* z y) -4)) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x))
1.0ms
y
@-inf
((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* x x) (* (* z y) -4)) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x))
1.0ms
z
@0
((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* x x) (* (* z y) -4)) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x))
1.0ms
z
@inf
((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* x x) (* (* z y) -4)) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x))
1.0ms
x
@inf
((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* x x) (* (* z y) -4)) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x))

simplify125.0ms (2.6%)

Memory
-12.1MiB live, 129.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046113
1134113
2393113
31203113
43343113
56789113
08159102
Stop Event
1×iter limit
1×node limit
Counts
15 → 15
Calls
Call 1
Inputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(+ (* -4 (* y z)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* y z)
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* -4 z)
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
Outputs
(* -4 (* y z))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* y z)
(*.f64 z y)
(* y (- (/ (pow x 2) y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (/ (pow x 2) z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))

rewrite276.0ms (5.8%)

Memory
-3.4MiB live, 189.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01645
02345
18044
254044
3695244
0802344
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 430
Calls
Call 1
Inputs
#s(approx (- (* x 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 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
(*.f64 x x)
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 z 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 z #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.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))
(/.f64 (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))))
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(*.f64 z y)
(*.f64 y z)
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.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 6 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4096 binary64) (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) #s(literal 3 binary64))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #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 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.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 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (-.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))))
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(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 z y)) (/.f64 (*.f64 z y) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) y) (/.f64 y (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal -4 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) z) (/.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) y) (/.f64 (*.f64 #s(literal -4 binary64) z) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal -4 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) z) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) z) (*.f64 x x))
(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) (/.f64 (*.f64 y y) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 z y)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 z y)) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x))
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) (*.f64 x x))
(fma.f64 (*.f64 z #s(literal 4 binary64)) y (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 z #s(literal 4 binary64)) y (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 z) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 z) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) y) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (neg.f64 y) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (neg.f64 y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 #s(literal -4 binary64) (*.f64 (neg.f64 z) y) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 #s(literal -4 binary64) (*.f64 (neg.f64 z) y) (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 x x))
(fma.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z y)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 (*.f64 z y) #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 z (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) z) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 z (neg.f64 (*.f64 #s(literal -4 binary64) y)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 z (neg.f64 (*.f64 #s(literal -4 binary64) y)) (*.f64 x x))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 (neg.f64 z)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 4 binary64) y) z (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) z (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 z) y) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 z y) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 4 binary64) (*.f64 z y) (*.f64 x x))
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) y) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 y (*.f64 z #s(literal 4 binary64)) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(fma.f64 x x (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(-.f64 (fma.f64 x 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)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)))))
(-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(-.f64 (*.f64 x x) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))))))
(+.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(+.f64 (*.f64 x x) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) (*.f64 x x))
(+.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (neg.f64 (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x))
(*.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)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval26.0ms (0.5%)

Memory
38.7MiB live, 38.7MiB allocated
Compiler

Compiled 6 569 to 567 computations (91.4% saved)

prune47.0ms (1%)

Memory
-19.6MiB live, 18.9MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2621263
Fresh000
Picked033
Done000
Total2624266
Accuracy
100.0%
Counts
266 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
✓98.8%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
✓52.5%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
▶52.5%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
Compiler

Compiled 46 to 38 computations (17.4% saved)

simplify15.0ms (0.3%)

Memory
7.8MiB live, 7.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
01426
12726
25926
39826
413526
517726
623726
729926
839926
945426
1048426
048425
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y

localize89.0ms (1.9%)

Memory
-21.0MiB live, 17.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
accuracy0.0
(*.f64 #s(literal -4 binary64) z)
accuracy30.386839760828465
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
Samples
15.0ms256×0valid
Compiler

Compiled 48 to 25 computations (47.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (79.9% of total)
ival-sub: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
3 → 10
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
Outputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -4 z)
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
Calls

9 calls:

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

simplify149.0ms (3.1%)

Memory
5.7MiB live, 49.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03674
19674
228274
3106874
4311874
5594774
6773974
0808167
Stop Event
1×iter limit
1×node limit
Counts
10 → 10
Calls
Call 1
Inputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -4 z)
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
Outputs
(* -4 (* y z))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* y (- (/ (pow x 2) y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (/ (pow x 2) z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))

rewrite1.1s (23.5%)

Memory
3.9MiB live, 194.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
01423
14223
225023
3228423
0833522
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 42
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal 4 binary64))
(*.f64 (*.f64 z (neg.f64 y)) #s(literal 4 binary64))
(*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y))
(*.f64 (neg.f64 (*.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 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 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) (*.f64 z 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) (neg.f64 z))
(*.f64 #s(literal 4 binary64) (*.f64 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 (*.f64 #s(literal -4 binary64) z))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -4 binary64) z) y)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))) (neg.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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))))) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (neg.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)) (neg.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)))))))
(/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (+.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 z (*.f64 #s(literal 4 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.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 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.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)))))) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.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))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 z z) (*.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64))))))
(neg.f64 (*.f64 z #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64)))

eval5.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Compiler

Compiled 899 to 152 computations (83.1% saved)

prune3.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New45146
Fresh000
Picked011
Done123
Total46450
Accuracy
100.0%
Counts
50 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
✓98.8%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
✓52.5%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
▶52.8%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 44 to 36 computations (18.2% saved)

simplify14.0ms (0.3%)

Memory
9.3MiB live, 9.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
01117
12017
25017
310017
413717
517917
623917
729917
839917
945417
1048417
048416
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x

localize56.0ms (1.2%)

Memory
-10.7MiB live, 24.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy30.237207939636324
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Samples
52.0ms256×0valid
Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (79.3% of total)
ival-sub: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
2 → 9
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
Outputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
Calls

9 calls:

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

simplify157.0ms (3.3%)

Memory
-15.7MiB live, 155.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03671
19671
228271
3106871
4311871
5594771
6773971
0808164
Stop Event
1×iter limit
1×node limit
Counts
9 → 9
Calls
Call 1
Inputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
Outputs
(* -4 (* y z))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* y (- (/ (pow x 2) y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* z (- (/ (pow x 2) z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))

rewrite194.0ms (4%)

Memory
21.2MiB live, 260.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
01116
13516
224116
3227416
0840715
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 7
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval2.0ms (0%)

Memory
-35.6MiB live, 3.3MiB allocated
Compiler

Compiled 151 to 35 computations (76.8% saved)

prune3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New10010
Fresh000
Picked011
Done033
Total10414
Accuracy
100.0%
Counts
14 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
✓98.8%
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
✓52.5%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
✓52.8%
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Compiler

Compiled 112 to 59 computations (47.3% saved)

regimes18.0ms (0.4%)

Memory
-0.6MiB live, 38.3MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Calls

7 calls:

3.0ms
x
3.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
z
2.0ms
y
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1z
98.8%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
98.8%1(*.f64 x x)
98.8%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
98.8%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes12.0ms (0.3%)

Memory
27.3MiB live, 27.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Calls

7 calls:

2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
84.1%2x
65.0%3y
69.9%3z
74.3%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
84.1%2(*.f64 x x)
68.9%3(*.f64 (*.f64 y #s(literal 4 binary64)) z)
65.0%3(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes9.0ms (0.2%)

Memory
-16.9MiB live, 22.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
52.8%1y
52.8%1(*.f64 y #s(literal 4 binary64))
52.8%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
52.8%1z
52.8%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
52.8%1x
52.8%1(*.f64 x x)
Compiler

Compiled 23 to 32 computations (-39.1% saved)

bsearch11.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
3.256898102411243e-74
3.2075937502806135e-70
Samples
5.0ms128×0valid
Compiler

Compiled 220 to 198 computations (10% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (81.7% of total)
ival-sub: 1.0ms (40.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify80.0ms (1.7%)

Memory
-7.1MiB live, 72.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02055
12955
25855
310955
415755
521255
635755
7468555
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 2486616182048933/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
Outputs
(fma.f64 x x (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 2486616182048933/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

soundness660.0ms (13.8%)

Memory
1.4MiB live, 390.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01220
13620
224220
3228520
0842019
01645
02345
18044
254044
3695244
0802344
03679
19679
228279
3106879
4310379
5592979
6772179
0807072
03674
19674
228274
3106874
4311874
5594774
6773974
0808167
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 138 to 94 computations (31.9% saved)

preprocess44.0ms (0.9%)

Memory
10.2MiB live, 51.6MiB allocated
Remove

(sort y z)

(abs x)

Compiler

Compiled 160 to 84 computations (47.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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