Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

Time bar (total: 4.5s)

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 9 to 9 computations (0% saved)

sample696.0ms (15.6%)

Memory
25.3MiB live, 1 032.1MiB allocated
Samples
450.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-mult: 123.0ms (71% of total)
ival-sub: 38.0ms (21.9% of total)
ival-true: 5.0ms (2.9% of total)
exact: 5.0ms (2.9% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

preprocess67.0ms (1.5%)

Memory
-42.3MiB live, 75.3MiB allocated
Algorithm
1×egg-herbie
Rules
304×lower-fma.f64
304×lower-fma.f32
224×lower-*.f32
220×lower-*.f64
174×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02669
16963
216563
340763
477263
597063
6103063
7103063
077
0107
1167
2287
3367
4637
51067
61907
73127
84047
94297
104377
04377
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Symmetry

(sort x y)

explain84.0ms (1.9%)

Memory
34.4MiB live, 146.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) y)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
27.0ms512×0valid
Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (69.9% of total)
ival-sub: 2.0ms (17.5% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 10 to 7 computations (30% saved)

simplify31.0ms (0.7%)

Memory
-5.9MiB live, 64.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
✓cost-diff0
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Rules
304×lower-fma.f64
304×lower-fma.f32
224×lower-*.f32
220×lower-*.f64
98×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
11619
22819
33619
46319
510619
619019
731219
840419
942919
1043719
043719
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z

localize20.0ms (0.5%)

Memory
6.9MiB live, 46.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy100.0%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
✓accuracy99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
12.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.5% of total)
ival-sub: 1.0ms (20.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-24.1MiB live, 14.8MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* x 3)
1.0ms
y
@inf
(- (* (* x 3) y) z)
0.0ms
x
@inf
(- (* (* x 3) y) z)
0.0ms
x
@0
(- (* (* x 3) y) z)
0.0ms
y
@0
(- (* (* x 3) y) z)

simplify210.0ms (4.7%)

Memory
31.5MiB live, 195.9MiB allocated
Algorithm
1×egg-herbie
Rules
3 582×lower-fma.f64
3 582×lower-fma.f32
2 750×lower-*.f64
2 750×lower-*.f32
1 560×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038378
1118378
2331378
3833378
42352378
54041378
65990378
77425378
87937378
08002378
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite609.0ms (13.7%)

Memory
-13.1MiB live, 613.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 502×lower-fma.f64
10 502×lower-fma.f32
4 312×lower-*.f32
4 308×lower-*.f64
3 816×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
12815
218415
3186215
0872315
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 256
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
Outputs
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) (neg.f64 z))
(+.f64 (neg.f64 z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))
(-.f64 (/.f64 (*.f64 z z) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 19683 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 19683 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))) (*.f64 (*.f64 z z) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z))))) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 x (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))) (*.f64 (*.f64 z z) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z))))) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
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(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y #s(literal 0 binary64))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))))
(*.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

eval40.0ms (0.9%)

Memory
-6.2MiB live, 70.6MiB allocated
Compiler

Compiled 15 517 to 700 computations (95.5% saved)

prune55.0ms (1.2%)

Memory
18.6MiB live, 86.0MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3253328
Fresh000
Picked011
Done000
Total3254329
Accuracy
100.0%
Counts
329 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
✓99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
▶49.7%
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
▶51.9%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify48.0ms (1.1%)

Memory
4.8MiB live, 68.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 (*.f64 x y) #s(literal 3 binary64))
✓cost-diff0
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
✓cost-diff0
(*.f64 #s(literal 3 binary64) y)
✓cost-diff0
(*.f64 x (*.f64 #s(literal 3 binary64) y))
✓cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
✓cost-diff0
(neg.f64 z)
✓cost-diff0
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Rules
304×lower-fma.f64
304×lower-fma.f32
224×lower-*.f32
216×lower-*.f64
98×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01556
02156
13656
24156
34856
47656
512156
619856
732056
841256
943756
1044556
044556
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
x
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
z
Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
x
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3 binary64)
z

localize95.0ms (2.1%)

Memory
-26.0MiB live, 91.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
✓accuracy99.7%
(*.f64 (*.f64 x y) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
✓accuracy99.7%
(*.f64 x (*.f64 #s(literal 3 binary64) y))
✓accuracy49.8%
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
✓accuracy100.0%
(neg.f64 z)
✓accuracy51.9%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Samples
80.0ms256×0valid
Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (70.8% of total)
ival-sub: 2.0ms (15.7% of total)
ival-neg: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
8 → 204
Calls
Call 1
Inputs
#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 #s(literal 3 binary64) y)) (patch (*.f64 x (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* -1 z) (taylor 0 x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
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#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

51 calls:

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

simplify171.0ms (3.8%)

Memory
-8.0MiB live, 227.4MiB allocated
Algorithm
1×egg-herbie
Rules
3 582×lower-fma.f64
3 582×lower-fma.f32
2 750×lower-*.f64
2 750×lower-*.f32
1 560×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0381038
11181038
23311038
38331038
423521038
540411038
659901038
774251038
879371038
080021038
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

rewrite327.0ms (7.3%)

Memory
22.9MiB live, 526.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 530×lower-fma.f64
9 530×lower-fma.f32
4 314×lower-*.f32
4 306×lower-*.f64
2 502×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01548
02148
16148
225048
3232346
0934143
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 383
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
Outputs
#s(approx (- (* (* x 3) y) z) z)
z
(+.f64 z #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) z)
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64)))) z)
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(neg.f64 z)
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 z z))
(/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
(/.f64 (*.f64 z (*.f64 z z)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64)))))
(/.f64 (*.f64 z z) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))
(/.f64 (fma.f64 z (*.f64 z z) #s(literal 0 binary64)) (*.f64 z z))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 z z (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) z) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z) (fma.f64 z z (*.f64 (/.f64 #s(literal 0 binary64) z) z))))
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(pow.f64 (/.f64 z (*.f64 z z)) #s(literal -1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y #s(literal 0 binary64))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64)))))) (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 z (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 z (*.f64 z z)))) (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 z z)) (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 z (*.f64 z z)))) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 z z)) (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 z z))) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))
(*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 z z)) (neg.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64)))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 z z)) (neg.f64 (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 z z)))) (neg.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(*.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 z z)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 #s(literal 81 binary64) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (-.f64 (*.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64))))))))
(*.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 z (*.f64 z z))) (-.f64 (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z z) (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 z z))))) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 19683 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.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 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 z (*.f64 z z)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 z (*.f64 z z)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 z z)) (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 #s(literal 81 binary64) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 z z))))
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y #s(literal 0 binary64))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))) #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)) (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64)))) #s(literal 0 binary64)) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y)) #s(literal 0 binary64))) (neg.f64 (fma.f64 x (*.f64 y (*.f64 (*.f64 x y) #s(literal 9 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64)))) #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 x (*.f64 (*.f64 x y) #s(literal 9 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y))))))
(pow.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))))
(*.f64 x y)
(*.f64 y x)

eval65.0ms (1.5%)

Memory
12.7MiB live, 124.6MiB allocated
Compiler

Compiled 16 321 to 898 computations (94.5% saved)

prune73.0ms (1.6%)

Memory
11.7MiB live, 131.7MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5843587
Fresh000
Picked123
Done011
Total5856591
Accuracy
100.0%
Counts
591 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
▶49.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
▶49.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
✓49.7%
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
✓51.9%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
▶2.1%
#s(approx (- (* (* x 3) y) z) z)
Compiler

Compiled 48 to 32 computations (33.3% saved)

simplify21.0ms (0.5%)

Memory
-15.2MiB live, 23.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 (*.f64 x y) #s(literal 3 binary64))
✓cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
✓cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
✓cost-diff0
#s(approx (- (* (* x 3) y) z) z)
Rules
304×lower-fma.f64
304×lower-fma.f32
224×lower-*.f32
216×lower-*.f64
98×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01458
01858
12858
23558
34158
46958
511258
619658
731558
840558
943058
1043858
043858
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
Outputs
#s(approx (- (* (* x 3) y) z) z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 x y)
x
y
#s(literal 3 binary64)

localize32.0ms (0.7%)

Memory
16.0MiB live, 54.0MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.7%
(*.f64 (*.f64 x y) #s(literal 3 binary64))
✓accuracy49.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
✓accuracy49.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
✓accuracy2.1%
#s(approx (- (* (* x 3) y) z) z)
Samples
19.0ms256×0valid
Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (80.4% of total)
ival-sub: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
7 → 192
Calls
Call 1
Inputs
#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* -1 z) (taylor 0 x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
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#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

48 calls:

TimeVariablePointExpression
0.0ms
y
@0
(- (* (* x 3) y) z)
0.0ms
x
@0
(- (* (* x 3) y) z)
0.0ms
x
@inf
(- (* (* x 3) y) z)
0.0ms
y
@inf
(- (* (* x 3) y) z)
0.0ms
y
@-inf
(- (* (* x 3) y) z)

simplify208.0ms (4.7%)

Memory
-36.2MiB live, 172.0MiB allocated
Algorithm
1×egg-herbie
Rules
3 582×lower-fma.f64
3 582×lower-fma.f32
2 750×lower-*.f64
2 750×lower-*.f32
1 560×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0381014
11181014
23311014
38331014
423521014
540411014
659901014
774251014
879371014
080021014
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

rewrite682.0ms (15.3%)

Memory
-126.7MiB live, 636.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 502×lower-fma.f64
10 502×lower-fma.f32
4 312×lower-*.f32
4 304×lower-*.f64
3 816×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
01851
14051
219151
3184551
0868051
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 95
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
Outputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) #s(literal 0 binary64)) (fma.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64)))) #s(literal 0 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(pow.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))))
(*.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(approx (- (* (* x 3) y) z) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) #s(literal 0 binary64)) (fma.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64)))) #s(literal 0 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(pow.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))))
(*.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 x y)
(*.f64 y x)

eval45.0ms (1%)

Memory
9.1MiB live, 51.6MiB allocated
Compiler

Compiled 2 305 to 97 computations (95.8% saved)

prune39.0ms (0.9%)

Memory
-12.9MiB live, 25.6MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2870287
Fresh000
Picked033
Done033
Total2876293
Accuracy
100.0%
Counts
293 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
✓49.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
✓49.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
✓49.7%
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
✓51.9%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
✓2.1%
#s(approx (- (* (* x 3) y) z) z)
Compiler

Compiled 88 to 45 computations (48.9% saved)

regimes21.0ms (0.5%)

Memory
3.4MiB live, 41.5MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

6.0ms
x
3.0ms
z
3.0ms
(*.f64 x #s(literal 3 binary64))
3.0ms
y
3.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.9%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes18.0ms (0.4%)

Memory
1.8MiB live, 40.0MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
Calls

6 calls:

5.0ms
x
3.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
y
2.0ms
z
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
74.9%3x
74.6%3y
74.8%3z
70.1%5(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
81.7%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
74.9%3(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes2.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
Calls

1 calls:

2.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Results
AccuracySegmentsBranch
81.6%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.2%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Calls

6 calls:

2.0ms
z
2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
x
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.0ms
y
Results
AccuracySegmentsBranch
51.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
51.9%1y
51.9%1z
51.9%1x
51.9%1(*.f64 x #s(literal 3 binary64))
51.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 36 to 27 computations (25% saved)

regimes11.0ms (0.3%)

Memory
-21.1MiB live, 23.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
Outputs
#s(approx (- (* (* x 3) y) z) z)
Calls

6 calls:

4.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
1.0ms
z
1.0ms
x
1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
2.1%1x
2.1%1(*.f64 x #s(literal 3 binary64))
2.1%1y
2.1%1z
2.1%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.1%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 36 to 27 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.451032702894182e-67
1.1096007704773291e-62
0.0ms
-9.657101730233481e-36
-1.5877856916718392e-53
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.451032702894182e-67
1.1096007704773291e-62
0.0ms
-9.657101730233481e-36
-1.5877856916718392e-53
Compiler

Compiled 13 to 13 computations (0% saved)

simplify8.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
4×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025130
134130
237130
338130
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3794275180128377/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3794275180128377/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3794275180128377/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3794275180128377/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)

soundness614.0ms (13.8%)

Memory
-20.1MiB live, 254.0MiB allocated
Rules
9 530×lower-fma.f64
9 530×lower-fma.f32
4 314×lower-*.f32
4 306×lower-*.f64
3 582×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038378
1118378
2331378
3833378
42352378
54041378
65990378
77425378
87937378
08002378
01548
02148
16148
225048
3232346
0934143
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 128 to 56 computations (56.3% saved)

preprocess127.0ms (2.9%)

Memory
13.0MiB live, 135.5MiB allocated
Compiler

Compiled 234 to 92 computations (60.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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