Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

Time bar (total: 3.2s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 11 computations (0% saved)

sample1.2s (36.9%)

Memory
55.3MiB live, 989.3MiB allocated
Samples
767.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 459.0ms
ival-div: 327.0ms (71.3% of total)
ival-mult: 75.0ms (16.4% of total)
ival-sub: 38.0ms (8.3% of total)
exact: 9.0ms (2% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess64.0ms (2%)

Memory
1.9MiB live, 116.7MiB allocated
Algorithm
1×egg-herbie
Rules
352×lower-fma.f64
352×lower-fma.f32
256×lower-*.f32
254×lower-*.f64
172×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03387
17684
215381
333281
461681
5105781
6121081
7123481
8123481
099
0139
1189
2319
3409
4649
51089
61899
73129
84479
95149
105499
115509
05508
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
Symmetry

(sort x y)

explain89.0ms (2.8%)

Memory
-13.1MiB live, 166.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 8 binary64)
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-z
00-0-(*.f64 x y)
00-0-(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
00-0-(/.f64 z #s(literal 8 binary64))
00-0-#s(literal 2 binary64)
00-0-y
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
38.0ms512×0valid
Compiler

Compiled 78 to 40 computations (48.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (41.6% of total)
ival-mult: 4.0ms (27.7% of total)
ival-sub: 2.0ms (13.9% of total)
exact: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.3MiB 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
▶100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Compiler

Compiled 12 to 9 computations (25% saved)

simplify27.0ms (0.8%)

Memory
-2.6MiB live, 38.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x y)
✓cost-diff128
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓cost-diff384
(/.f64 z #s(literal 8 binary64))
✓cost-diff384
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Rules
352×lower-fma.f64
352×lower-fma.f32
256×lower-*.f32
254×lower-*.f64
88×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
01325
11825
23125
34025
46425
510825
618925
731225
844725
951425
1054925
1155025
055024
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
(*.f64 z #s(literal 1/8 binary64))
z
#s(literal 8 binary64)

localize26.0ms (0.8%)

Memory
3.5MiB live, 42.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 z #s(literal 8 binary64))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Samples
17.0ms256×0valid
Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (52.7% of total)
ival-mult: 2.0ms (26.3% of total)
ival-sub: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.3%)

Memory
-28.7MiB live, 9.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x y) #s(literal 2 binary64))>
#<alt (/.f64 z #s(literal 8 binary64))>
#<alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))>
#<alt (*.f64 x y)>
Outputs
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/ (* x y) 2)
1.0ms
x
@0
(- (/ (* x y) 2) (/ z 8))
1.0ms
x
@inf
(/ (* x y) 2)
1.0ms
x
@0
(/ (* x y) 2)
1.0ms
y
@inf
(/ (* x y) 2)

simplify184.0ms (5.8%)

Memory
3.6MiB live, 319.1MiB allocated
Algorithm
1×egg-herbie
Rules
4 218×lower-fma.f64
4 218×lower-fma.f32
3 690×lower-*.f64
3 690×lower-*.f32
2 036×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042508
1123508
2350508
3861508
41961508
54019508
66382508
08114481
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 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
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(* 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)

rewrite252.0ms (7.9%)

Memory
30.2MiB live, 505.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 312×lower-fma.f64
5 312×lower-fma.f32
4 784×lower-*.f32
4 782×lower-*.f64
3 460×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
01320
15620
248620
0867719
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 221
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 z #s(literal 8 binary64))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 x y)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x y)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 y (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64)))
(neg.f64 (*.f64 z #s(literal -1/8 binary64)))
(neg.f64 (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(/.f64 z #s(literal 8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 (neg.f64 z) #s(literal -8 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))))
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(-.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z #s(literal 1/8 binary64)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) #s(literal -16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) z) (/.f64 #s(literal 16 binary64) z)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 16 binary64) z)))
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64))) #s(literal 16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (neg.f64 y) #s(literal 8 binary64))) z) (/.f64 #s(literal -16 binary64) z)) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -16 binary64) z)))
(-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))))
(-.f64 (/.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (neg.f64 z)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64)))))
(-.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 y (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 z #s(literal -1/8 binary64) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 1/16 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))))
(fma.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))))
(fma.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) (neg.f64 z) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 z #s(literal -1/8 binary64)))
(neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (*.f64 z #s(literal 1/8 binary64))))
(neg.f64 (fma.f64 z #s(literal 1/8 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal -2 binary64))) #s(literal -16 binary64)))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))) (fma.f64 z #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64)))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 z z) #s(literal -1/64 binary64)))) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal -2 binary64))) #s(literal 16 binary64))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (fma.f64 x (*.f64 y #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 16 binary64) z) (fma.f64 x (*.f64 y (/.f64 #s(literal 8 binary64) z)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (*.f64 (neg.f64 y) #s(literal -8 binary64)) (*.f64 z #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -16 binary64) z) (fma.f64 (neg.f64 y) (*.f64 x (/.f64 #s(literal 8 binary64) z)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64)) (+.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal -2 binary64) (*.f64 x y)))))
(/.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))) (*.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))) (*.f64 (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 z (*.f64 #s(literal 1/64 binary64) z)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal -2 binary64))) #s(literal 1/16 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))) (*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(*.f64 (fma.f64 x (*.f64 y #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) z)) #s(literal -1/16 binary64))
(*.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal 8 binary64) z)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) z)))
(*.f64 (fma.f64 x (*.f64 (neg.f64 y) #s(literal -8 binary64)) (*.f64 z #s(literal -2 binary64))) #s(literal 1/16 binary64))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 x (/.f64 #s(literal 8 binary64) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) z)))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))))
(*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal -2 binary64) (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z))))
(*.f64 (fma.f64 x (*.f64 (neg.f64 y) #s(literal 8 binary64)) (*.f64 #s(literal 2 binary64) z)) #s(literal -1/16 binary64))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/512 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y (*.f64 x (*.f64 #s(literal 1/16 binary64) z)) (*.f64 z (*.f64 #s(literal 1/64 binary64) z)))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (*.f64 (*.f64 z z) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x y)))
(neg.f64 (neg.f64 (*.f64 x y)))
(*.f64 x y)
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x (*.f64 y #s(literal 1 binary64)))
(*.f64 y x)
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x y)))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (*.f64 #s(literal 1 binary64) x) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) x)

eval34.0ms (1.1%)

Memory
6.0MiB live, 84.8MiB allocated
Compiler

Compiled 5 252 to 611 computations (88.4% saved)

prune32.0ms (1%)

Memory
2.4MiB live, 79.2MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3143317
Fresh000
Picked101
Done000
Total3153318
Accuracy
100.0%
Counts
318 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
▶51.0%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
▶50.4%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify40.0ms (1.3%)

Memory
-31.0MiB live, 66.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z #s(literal -1/8 binary64))
✓cost-diff0
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
✓cost-diff0
(*.f64 z #s(literal -1/8 binary64))
✓cost-diff0
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓cost-diff0
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Rules
352×lower-fma.f32
350×lower-fma.f64
256×lower-*.f32
248×lower-*.f64
100×distribute-lft-neg-in
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01863
02464
13764
25464
36364
48864
513464
622464
736961
853761
957861
1061161
1161261
061261
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
#s(literal 1/2 binary64)
(*.f64 x y)
x
y
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
x
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x y)
x
y
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
x
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)

localize43.0ms (1.3%)

Memory
7.2MiB live, 83.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
✓accuracy100.0%
(*.f64 z #s(literal -1/8 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 z #s(literal -1/8 binary64))
✓accuracy51.0%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓accuracy50.4%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Samples
25.0ms256×0valid
Compiler

Compiled 56 to 18 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (58% of total)
ival-div: 3.0ms (21.7% of total)
ival-sub: 1.0ms (7.2% of total)
ival-add: 1.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
7 → 180
Calls
Call 1
Inputs
#<alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))>
#<alt (*.f64 z #s(literal -1/8 binary64))>
#<alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))>
#<alt (*.f64 y #s(literal 1/2 binary64))>
Outputs
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
Calls

45 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(* y 1/2)
0.0ms
y
@-inf
(* y 1/2)
0.0ms
z
@0
(* z -1/8)
0.0ms
y
@0
(* y 1/2)
0.0ms
y
@0
(+ (* (* y 1/2) x) (* z -1/8))

simplify189.0ms (6%)

Memory
-5.8MiB live, 265.6MiB allocated
Algorithm
1×egg-herbie
Rules
4 218×lower-fma.f64
4 218×lower-fma.f32
3 690×lower-*.f64
3 690×lower-*.f32
2 036×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0421104
11231104
23501104
38601104
419661104
540451104
664081104
081391023
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* 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)
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.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)
(* x y)
(*.f64 x y)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)

rewrite360.0ms (11.3%)

Memory
-19.1MiB live, 424.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 796×lower-/.f64
4 796×lower-/.f32
4 618×lower-*.f32
4 610×lower-*.f64
4 164×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01850
02451
18648
274448
0827048
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 232
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x y)
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(*.f64 y #s(literal 1/2 binary64))
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x y)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x y)))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)))))
(*.f64 (neg.f64 (neg.f64 (*.f64 x y))) #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 y x)
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(/.f64 z #s(literal -8 binary64))
(/.f64 (neg.f64 z) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (neg.f64 (neg.f64 z))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z))))
(/.f64 (neg.f64 (neg.f64 z)) #s(literal -8 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) #s(literal 8 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal -1 binary64))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal 1/16 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(-.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) #s(literal -16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) #s(literal -16 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x y) (*.f64 z #s(literal 1/8 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal 8 binary64)) #s(literal -16 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) z) #s(literal -16 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal -8 binary64)) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 z)) #s(literal 16 binary64)))
(-.f64 (/.f64 (/.f64 (neg.f64 (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))))
(-.f64 (/.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (neg.f64 z)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 z #s(literal -1/8 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal 1/16 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))))
(fma.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))
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(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z)) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) z))) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) (neg.f64 (/.f64 #s(literal 8 binary64) z))))
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) (neg.f64 (neg.f64 z)))) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal 8 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 x y))) #s(literal 8 binary64)) (*.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 x y))) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 x y))) (/.f64 #s(literal 8 binary64) z)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/8 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 x y))) (neg.f64 (/.f64 #s(literal 8 binary64) z))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) z))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 x y))) #s(literal 8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 z)))) #s(literal 16 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal 16 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 #s(literal 2 binary64) z))) #s(literal 256 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)))) (*.f64 (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 z z) #s(literal 1/64 binary64)))) (*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z)))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z)))) #s(literal -16 binary64))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) z))) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (neg.f64 z)))) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 2 binary64) (*.f64 x y)))) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)))) #s(literal 16 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) #s(literal 1/64 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal 1/16 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/16 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -1/16 binary64))
(*.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -1/16 binary64))
(*.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 1/16 binary64))
(*.f64 (fma.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))))
(*.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) z) #s(literal 1/16 binary64)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))) #s(literal -1/16 binary64))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/512 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z z) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 z z) #s(literal 1/64 binary64)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/2 binary64))

eval48.0ms (1.5%)

Memory
13.5MiB live, 88.4MiB allocated
Compiler

Compiled 5 941 to 585 computations (90.2% saved)

prune37.0ms (1.2%)

Memory
31.8MiB live, 69.9MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4470447
Fresh000
Picked033
Done000
Total4473450
Accuracy
100.0%
Counts
450 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
✓51.0%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
✓50.4%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Compiler

Compiled 57 to 34 computations (40.4% saved)

regimes19.0ms (0.6%)

Memory
-19.1MiB live, 26.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Outputs
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
Calls

7 calls:

6.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
z
2.0ms
(/.f64 (*.f64 x y) #s(literal 2 binary64))
2.0ms
y
2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes58.0ms (1.8%)

Memory
-20.1MiB live, 17.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Calls

7 calls:

48.0ms
y
2.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
x
2.0ms
z
2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Results
AccuracySegmentsBranch
75.6%3x
74.8%3y
76.8%3z
69.8%5(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
83.3%3(/.f64 (*.f64 x y) #s(literal 2 binary64))
83.3%3(*.f64 x y)
76.8%3(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes10.0ms (0.3%)

Memory
17.0MiB live, 17.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
Calls

7 calls:

1.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms
(/.f64 z #s(literal 8 binary64))
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
51.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
51.0%1y
51.0%1x
51.0%1z
51.0%1(/.f64 z #s(literal 8 binary64))
51.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
51.0%1(*.f64 x y)
Compiler

Compiled 44 to 33 computations (25% saved)

bsearch28.0ms (0.9%)

Memory
5.8MiB live, 44.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
8.406895182545679e-82
2.652819094990984e-69
10.0ms
-1.4765188194826935e+52
-4.612982580843725e+48
Samples
15.0ms288×0valid
Compiler

Compiled 303 to 231 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (55.2% of total)
ival-sub: 1.0ms (18.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.3%)

Memory
-23.1MiB live, 15.7MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02476
12876
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(if (<=.f64 (*.f64 x y) #s(literal -17000000000000000258601501278655264854044779216896 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 242445077749771/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
Outputs
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(if (<=.f64 (*.f64 x y) #s(literal -17000000000000000258601501278655264854044779216896 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 242445077749771/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(if (<=.f64 (*.f64 y x) #s(literal -17000000000000000258601501278655264854044779216896 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (*.f64 y x) #s(literal 242445077749771/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))

soundness421.0ms (13.2%)

Memory
1.0MiB live, 245.5MiB allocated
Rules
5 312×lower-fma.f64
5 312×lower-fma.f32
4 784×lower-*.f32
4 782×lower-*.f64
4 218×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042508
1123508
2350508
3861508
41961508
54019508
66382508
08114481
0920
01320
15620
248620
0867719
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 83 to 46 computations (44.6% saved)

preprocess26.0ms (0.8%)

Memory
25.0MiB live, 64.2MiB allocated
Remove

(sort x y)

Compiler

Compiled 132 to 66 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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