Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 6.6s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample805.0ms (12.2%)

Memory
34.8MiB live, 947.8MiB allocated
Samples
601.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 369.0ms
ival-mult: 288.0ms (78.1% of total)
ival-sub: 67.0ms (18.2% of total)
ival-true: 5.0ms (1.4% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess64.0ms (1%)

Memory
-11.7MiB live, 32.4MiB allocated
Algorithm
2×egg-herbie
Rules
336×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
248×*-lowering-*.f32
248×*-lowering-*.f64
192×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03197
110093
226590
362790
493190
5105790
6109790
7109790
089
1179
2479
3979
41339
51759
62359
72949
83889
94429
104729
04728
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (* x x) (* (* y 4) z))
Outputs
(- (* x x) (* (* y 4) z))
(fma.f64 y (fma.f64 z #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
Call 2
Inputs
(- (* x x) (* (* y 4) z))
(- (* (neg x) (neg x)) (* (* y 4) z))
(- (* x x) (* (* (neg y) 4) z))
(- (* x x) (* (* y 4) (neg z)))
(neg (- (* (neg x) (neg x)) (* (* y 4) z)))
(neg (- (* x x) (* (* (neg y) 4) z)))
(neg (- (* x x) (* (* y 4) (neg z))))
(- (* y y) (* (* x 4) z))
(- (* z z) (* (* y 4) x))
(- (* x x) (* (* z 4) y))
Outputs
(- (* x x) (* (* y 4) z))
(+ (* x x) (* z (* y -4)))
(- (* (neg x) (neg x)) (* (* y 4) z))
(+ (* x x) (* z (* y -4)))
(- (* x x) (* (* (neg y) 4) z))
(+ (* x x) (* (* y 4) z))
(- (* x x) (* (* y 4) (neg z)))
(+ (* x x) (* (* y 4) z))
(neg (- (* (neg x) (neg x)) (* (* y 4) z)))
(- (* (* y 4) z) (* x x))
(neg (- (* x x) (* (* (neg y) 4) z)))
(- (* z (* y -4)) (* x x))
(neg (- (* x x) (* (* y 4) (neg z))))
(- (* z (* y -4)) (* x x))
(- (* y y) (* (* x 4) z))
(+ (* y y) (* z (* x -4)))
(- (* z z) (* (* y 4) x))
(+ (* z z) (* x (* y -4)))
(- (* x x) (* (* z 4) y))
(+ (* x x) (* z (* y -4)))
Symmetry

(abs x)

(sort y z)

explain110.0ms (1.7%)

Memory
-9.8MiB live, 106.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
40-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
10-0-(*.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-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))nan-rescue40
↳(*.f64 x x)overflow71
↳(*.f64 y #s(literal 4 binary64))overflow1
↳(*.f64 (*.f64 y #s(literal 4 binary64)) z)overflow33
*.f64(*.f64 (*.f64 y #s(literal 4 binary64)) z)n*o10
Confusion
Predicted +Predicted -
+50
-0251
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-00251
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 11.0ms (81% of total)
ival-sub: 2.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify21.0ms (0.3%)

Memory
18.8MiB live, 18.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 y #s(literal 4 binary64))
✓cost-diff-64
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
✓cost-diff-64
(*.f64 x x)
✓cost-diff192
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Rules
336×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
248×*-lowering-*.f32
248×*-lowering-*.f64
98×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11724
24724
39724
413324
517524
623524
729424
838824
944224
1047224
047223
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (* x x) (* (* y 4) z))
(* x x)
x
(* (* y 4) z)
(* y 4)
y
4
z
Outputs
(- (* x x) (* (* y 4) z))
(fma.f64 y (fma.f64 z #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(* (* y 4) z)
(fma.f64 y (fma.f64 #s(literal 4 binary64) z #s(literal 0 binary64)) #s(literal 0 binary64))
(* y 4)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
y
4
#s(literal 4 binary64)
z

localize32.0ms (0.5%)

Memory
-21.6MiB live, 21.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 4 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.6%
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
✓accuracy98.7%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Samples
21.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (82.9% of total)
ival-sub: 1.0ms (16.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (- (* x x) (* (* y 4) z))>
#<alt (* x x)>
#<alt (* (* y 4) z)>
#<alt (* y 4)>
Outputs
#<alt (* -4 (* y z))>
#<alt (- (pow x 2) (* 4 (* y z)))>
#<alt (- (pow x 2) (* 4 (* y z)))>
#<alt (- (pow x 2) (* 4 (* y z)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (* -4 (* y z))>
#<alt (* y (- (/ (pow x 2) y) (* 4 z)))>
#<alt (* y (- (/ (pow x 2) y) (* 4 z)))>
#<alt (* y (- (/ (pow x 2) y) (* 4 z)))>
#<alt (* -4 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))>
#<alt (pow x 2)>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (* -4 (* y z))>
#<alt (* z (- (/ (pow x 2) z) (* 4 y)))>
#<alt (* z (- (/ (pow x 2) z) (* 4 y)))>
#<alt (* z (- (/ (pow x 2) z) (* 4 y)))>
#<alt (* -4 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))>
#<alt (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))>
#<alt (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 (* y z))>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
Calls

21 calls:

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

rewrite1.3s (19.4%)

Memory
6.5MiB live, 757.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
14 204×accelerator-lowering-fma.f32
14 204×accelerator-lowering-fma.f64
4 716×*-lowering-*.f32
4 716×*-lowering-*.f64
2 560×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
13220
223820
3227120
0839319
Stop Event
1×iter limit
1×node limit
Counts
4 → 199
Calls
Call 1
Inputs
(- (* x x) (* (* y 4) z))
(* x x)
(* (* y 4) z)
(* y 4)
Outputs
(+.f64 (*.f64 x x) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))) (neg.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64)))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))) (/.f64 (*.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64)))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (*.f64 x x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 262144 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 4096 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64)))))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))) (fma.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64)))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64)))))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 262144 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64)))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))))) (fma.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64)))))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 4096 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))))) (fma.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64)))))))))
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(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))) (pow.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64)))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64)))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64)))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64)))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (*.f64 (*.f64 (*.f64 z z) #s(literal 16 binary64)) y) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))) (*.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))) (/.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))))
(*.f64 (*.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))
(*.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) (*.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))
(*.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) (/.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) (neg.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))) (*.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))))) (fma.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))) (*.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))) (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))))) (fma.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))) (-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 262144 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64))))) (*.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 (*.f64 y y) #s(literal 16 binary64)))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(exp.f64 (log.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) #s(literal 1 binary64))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y z) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 z (*.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) z) y)
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64)))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64)))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (*.f64 y z))))
(*.f64 (exp.f64 (log.f64 (*.f64 y z))) (exp.f64 (log.f64 #s(literal 4 binary64))))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)

simplify304.0ms (4.6%)

Memory
-20.2MiB live, 349.1MiB allocated
Algorithm
1×egg-herbie
Rules
4 582×accelerator-lowering-fma.f32
4 582×accelerator-lowering-fma.f64
3 104×*-lowering-*.f32
3 104×*-lowering-*.f64
2 102×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036472
196472
2258472
31042472
43025472
55788472
67643472
08101445
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(- (pow x 2) (* 4 (* y z)))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -4 (* y z))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -4 (* y z))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
Outputs
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
(- (pow x 2) (* 4 (* y z)))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(- (pow x 2) (* 4 (* y z)))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(- (pow x 2) (* 4 (* y z)))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (- (/ (pow x 2) y) (* 4 z)))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* y (- (/ (pow x 2) y) (* 4 z)))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* y (- (/ (pow x 2) y) (* 4 z)))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (- (/ (pow x 2) z) (* 4 y)))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* z (- (/ (pow x 2) z) (* 4 y)))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* z (- (/ (pow x 2) z) (* 4 y)))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 (* y z))
(fma.f64 y (fma.f64 z #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))

eval32.0ms (0.5%)

Memory
29.9MiB live, 67.5MiB allocated
Compiler

Compiled 14 569 to 632 computations (95.7% saved)

prune31.0ms (0.5%)

Memory
10.5MiB live, 86.7MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2794283
Fresh000
Picked101
Done000
Total2804284
Accuracy
100.0%
Counts
284 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
▶98.1%
(fma.f64 x x (*.f64 z (*.f64 y #s(literal -4 binary64))))
▶56.4%
(fma.f64 x x #s(literal 0 binary64))
▶51.3%
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify9.0ms (0.1%)

Memory
-29.4MiB live, 13.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x x)
✓cost-diff-64
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
✓cost-diff0
(*.f64 z #s(literal -4 binary64))
✓cost-diff-128
(*.f64 z (*.f64 y #s(literal -4 binary64)))
✓cost-diff0
(*.f64 y #s(literal -4 binary64))
✓cost-diff0
(fma.f64 x x (*.f64 z (*.f64 y #s(literal -4 binary64))))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
✓cost-diff0
(fma.f64 y z #s(literal 0 binary64))
✓cost-diff0
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
Rules
32×accelerator-lowering-fma.f32
32×accelerator-lowering-fma.f64
26×*-lowering-*.f32
26×*-lowering-*.f64
20×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01757
13757
24057
04055
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* -4 (+ (* y z) 0)) 0)
-4
(+ (* y z) 0)
y
z
0
(+ (* x x) 0)
x
0
(+ (* x x) (* z (* y -4)))
x
(* z (* y -4))
z
(* y -4)
y
-4
(+ (* (* z -4) y) (* x x))
(* z -4)
z
-4
y
(* x x)
x
Outputs
(+ (* -4 (+ (* y z) 0)) 0)
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
-4
#s(literal -4 binary64)
(+ (* y z) 0)
(fma.f64 y z #s(literal 0 binary64))
y
z
0
#s(literal 0 binary64)
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* x x) (* z (* y -4)))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
x
(* z (* y -4))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
z
(* y -4)
(*.f64 #s(literal -4 binary64) y)
y
-4
#s(literal -4 binary64)
(+ (* (* z -4) y) (* x x))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* z -4)
(*.f64 #s(literal -4 binary64) z)
z
-4
#s(literal -4 binary64)
y
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x

localize48.0ms (0.7%)

Memory
-2.5MiB live, 113.7MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 z #s(literal -4 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
✓accuracy100.0%
(*.f64 y #s(literal -4 binary64))
✓accuracy99.6%
(*.f64 z (*.f64 y #s(literal -4 binary64)))
✓accuracy98.4%
(fma.f64 x x (*.f64 z (*.f64 y #s(literal -4 binary64))))
✓accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 y z #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
Samples
29.0ms256×0valid
Compiler

Compiled 61 to 19 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 11.0ms (63% of total)
ival-add: 6.0ms (34.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
9 → 192
Calls
Call 1
Inputs
#<alt (+ (* -4 (+ (* y z) 0)) 0)>
#<alt (+ (* y z) 0)>
#<alt (+ (* x x) 0)>
#<alt (+ (* x x) (* z (* y -4)))>
#<alt (* y -4)>
#<alt (* z (* y -4))>
#<alt (* z -4)>
#<alt (+ (* (* z -4) y) (* x x))>
#<alt (* x x)>
Outputs
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -4 (* y z))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (* -4 (* y z))>
#<alt (* z (+ (* -4 y) (/ (pow x 2) z)))>
#<alt (* z (+ (* -4 y) (/ (pow x 2) z)))>
#<alt (* z (+ (* -4 y) (/ (pow x 2) z)))>
#<alt (* -4 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))>
#<alt (pow x 2)>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (* -4 (* y z))>
#<alt (* y (+ (* -4 z) (/ (pow x 2) y)))>
#<alt (* y (+ (* -4 z) (/ (pow x 2) y)))>
#<alt (* y (+ (* -4 z) (/ (pow x 2) y)))>
#<alt (* -4 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (pow x 2)>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (* -4 (* y z))>
#<alt (* z (+ (* -4 y) (/ (pow x 2) z)))>
#<alt (* z (+ (* -4 y) (/ (pow x 2) z)))>
#<alt (* z (+ (* -4 y) (/ (pow x 2) z)))>
#<alt (* -4 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))>
#<alt (pow x 2)>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (* -4 (* y z))>
#<alt (* y (+ (* -4 z) (/ (pow x 2) y)))>
#<alt (* y (+ (* -4 z) (/ (pow x 2) y)))>
#<alt (* y (+ (* -4 z) (/ (pow x 2) y)))>
#<alt (* -4 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))>
#<alt (* -4 (* y z))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (+ (* -4 (* y z)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

48 calls:

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

rewrite463.0ms (7%)

Memory
-1.3MiB live, 771.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 866×accelerator-lowering-fma.f32
5 866×accelerator-lowering-fma.f64
3 142×/-lowering-/.f32
3 142×/-lowering-/.f64
2 818×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01743
110243
2102243
0904941
Stop Event
1×iter limit
1×node limit
Counts
9 → 658
Calls
Call 1
Inputs
(+ (* -4 (+ (* y z) 0)) 0)
(+ (* y z) 0)
(+ (* x x) 0)
(+ (* x x) (* z (* y -4)))
(* y -4)
(* z (* y -4))
(* z -4)
(+ (* (* z -4) y) (* x x))
(* x x)
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64)))
(+.f64 (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)))
(-.f64 (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) #s(literal 0 binary64))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 16 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 16 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(neg.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 16 binary64) #s(literal 0 binary64)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 16 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 256 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 #s(literal -4 binary64) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 0 binary64)) (*.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))))
(/.f64 (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64)) (fma.f64 y z #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal 0 binary64)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))) (*.f64 (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal 0 binary64)))
(/.f64 (-.f64 (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal 0 binary64))) (neg.f64 (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal 0 binary64))) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))) (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64))))
(pow.f64 (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (fma.f64 y z #s(literal 0 binary64)) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 16 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (fma.f64 z (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 16 binary64) #s(literal 0 binary64))))
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(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify493.0ms (7.5%)

Memory
11.7MiB live, 678.6MiB allocated
Algorithm
1×egg-herbie
Rules
11 586×accelerator-lowering-fma.f32
11 586×accelerator-lowering-fma.f64
3 270×*-lowering-*.f32
3 270×*-lowering-*.f64
1 742×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0341016
11041016
23091016
39511016
425041016
548041016
08264962
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -4 (* y z))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* -4 (* y z))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* -4 (* y z))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* -4 (* y z))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(pow x 2)
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(* -4 (* y z))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* -4 (* y z))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* -4 (* y z))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(+ (* -4 (* y z)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 y)
(fma.f64 #s(literal -4 binary64) y #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(* -4 z)
(fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* -4 (* y z))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) #s(literal 0 binary64))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval100.0ms (1.5%)

Memory
0.0MiB live, 310.8MiB allocated
Compiler

Compiled 29 231 to 934 computations (96.8% saved)

prune221.0ms (3.3%)

Memory
2.6MiB live, 159.4MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New8482850
Fresh000
Picked224
Done000
Total8504854
Accuracy
100.0%
Counts
854 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
✓98.1%
(fma.f64 x x (*.f64 z (*.f64 y #s(literal -4 binary64))))
▶51.3%
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
▶56.4%
(*.f64 x x)
Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB 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
(*.f64 x x)
Rules
26×*-lowering-*.f32
26×*-lowering-*.f64
10×*-commutative
6×associate-*r*
6×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
11115
21815
32015
02015
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* x x)
x
(* (* -4 z) y)
(* -4 z)
-4
z
y
Outputs
(* x x)
(*.f64 x x)
x
(* (* -4 z) y)
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
-4
#s(literal -4 binary64)
z
y

localize269.0ms (4.1%)

Memory
-189.4MiB live, 34.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) z)
✓accuracy100.0%
(*.f64 x x)
Samples
12.0ms256×0valid
Compiler

Compiled 17 to 9 computations (47.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 5.0ms (98% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (* x x)>
#<alt (* (* -4 z) y)>
#<alt (* -4 z)>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 (* y z))>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
Calls

12 calls:

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

rewrite131.0ms (2%)

Memory
-8.3MiB live, 193.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 136×pow-lowering-pow.f64
2 136×pow-lowering-pow.f32
1 662×*-lowering-*.f32
1 662×*-lowering-*.f64
1 412×prod-exp
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0711
11311
22711
34511
49311
52469
615059
715309
816539
928439
082999
Stop Event
1×iter limit
1×node limit
Counts
3 → 10
Calls
Call 1
Inputs
(* x x)
(* (* -4 z) y)
(* -4 z)
Outputs
#s(literal 1 binary64)
x
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))

simplify7.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-lowering-*.f32
26×*-lowering-*.f64
10×*-commutative
4×associate-*r*
4×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09192
115192
220192
020192
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
Outputs
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 (* y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)

eval8.0ms (0.1%)

Memory
-25.7MiB live, 12.2MiB allocated
Compiler

Compiled 261 to 17 computations (93.5% saved)

prune4.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New56258
Fresh000
Picked022
Done022
Total56662
Accuracy
100.0%
Counts
62 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
✓98.1%
(fma.f64 x x (*.f64 z (*.f64 y #s(literal -4 binary64))))
✓51.3%
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
✓56.4%
(*.f64 x x)
▶5.3%
x
▶3.7%
#s(literal 1 binary64)
Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
142
042
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
1
x
Outputs
1
#s(literal 1 binary64)
x

localize8.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Samples
5.0ms256×0valid
Compiler

Compiled 4 to 6 computations (-50% saved)

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

series0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

rewrite7.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Algorithm
1×batch-egg-rewrite
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
1×saturated
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

simplify3.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
1×saturated
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune16.0ms (0.2%)

Memory
-29.7MiB live, 7.6MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
✓98.1%
(fma.f64 x x (*.f64 z (*.f64 y #s(literal -4 binary64))))
✓51.3%
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
✓56.4%
(*.f64 x x)
✓5.3%
x
✓3.7%
#s(literal 1 binary64)
Compiler

Compiled 93 to 52 computations (44.1% saved)

regimes25.0ms (0.4%)

Memory
32.1MiB live, 32.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
Calls

7 calls:

4.0ms
(*.f64 y #s(literal 4 binary64))
4.0ms
z
3.0ms
y
3.0ms
x
3.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1(*.f64 x x)
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes29.0ms (0.4%)

Memory
-5.2MiB live, 38.1MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x x (*.f64 z (*.f64 y #s(literal -4 binary64))))
Outputs
(fma.f64 x x (*.f64 z (*.f64 y #s(literal -4 binary64))))
Calls

7 calls:

11.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
98.1%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
98.1%1(*.f64 x x)
98.1%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
98.1%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes21.0ms (0.3%)

Memory
1.8MiB live, 39.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(fma.f64 #s(literal -4 binary64) (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
Outputs
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 x x)
Calls

7 calls:

5.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
z
3.0ms
x
3.0ms
y
3.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
Results
AccuracySegmentsBranch
85.2%2x
68.5%3y
70.5%3z
77.9%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
85.2%2(*.f64 x x)
72.2%3(*.f64 (*.f64 y #s(literal 4 binary64)) z)
68.5%3(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes17.0ms (0.3%)

Memory
-4.9MiB live, 32.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
Outputs
(*.f64 x x)
Calls

7 calls:

4.0ms
x
2.0ms
(*.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
56.4%1y
56.4%1(*.f64 y #s(literal 4 binary64))
56.4%1z
56.4%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
56.4%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
56.4%1x
56.4%1(*.f64 x x)
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes15.0ms (0.2%)

Memory
-9.7MiB live, 26.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
Outputs
x
Calls

7 calls:

5.0ms
x
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
z
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
y
Results
AccuracySegmentsBranch
5.3%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
5.3%1y
5.3%1(*.f64 y #s(literal 4 binary64))
5.3%1x
5.3%1z
5.3%1(*.f64 x x)
5.3%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory
24.8MiB live, 24.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

7 calls:

1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
y
1.0ms
x
1.0ms
z
1.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
3.7%1z
3.7%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
3.7%1y
3.7%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
3.7%1(*.f64 y #s(literal 4 binary64))
3.7%1(*.f64 x x)
3.7%1x
Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.5762090005417702e+94
1.1970960193151248e+98
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify11.0ms (0.2%)

Memory
-34.3MiB live, 10.3MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01635
12335
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
(fma.f64 x x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(if (<=.f64 (*.f64 x x) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) z) y) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1 binary64)
Outputs
(fma.f64 (*.f64 z #s(literal -4 binary64)) y (*.f64 x x))
(fma.f64 x x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 x x (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(if (<=.f64 (*.f64 x x) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) z) y) (*.f64 x x))
(if (<=.f64 (*.f64 x x) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1 binary64)

soundness1.9s (29.3%)

Memory
27.6MiB live, 539.7MiB allocated
Rules
14 204×accelerator-lowering-fma.f32
14 204×accelerator-lowering-fma.f64
5 866×accelerator-lowering-fma.f32
5 866×accelerator-lowering-fma.f64
4 716×*-lowering-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0820
13220
223820
3227120
0839319
0711
11311
22711
34511
49311
52469
615059
715309
816539
928439
082999
01743
110243
2102243
0904941
036472
196472
2258472
31042472
43025472
55788472
67643472
08101445
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×node limit
Compiler

Compiled 134 to 81 computations (39.6% saved)

preprocess63.0ms (1%)

Memory
-13.2MiB live, 141.6MiB allocated
Remove

(abs x)

Compiler

Compiled 232 to 130 computations (44% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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