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

Time bar (total: 2.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample876.0ms (32.5%)

Memory
0.1MiB live, 1 136.6MiB allocated
Samples
588.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 285.0ms
ival-div: 125.0ms (43.9% of total)
ival-mult: 89.0ms (31.3% of total)
ival-sub: 55.0ms (19.3% of total)
exact: 7.0ms (2.5% of total)
ival-true: 6.0ms (2.1% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain82.0ms (3%)

Memory
18.2MiB live, 133.2MiB 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
28.0ms512×0valid
Compiler

Compiled 66 to 31 computations (53% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 6.0ms (46.5% of total)
ival-mult: 4.0ms (31% of total)
ival-sub: 2.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess63.0ms (2.3%)

Memory
4.9MiB live, 56.4MiB 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)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory
0.3MiB 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)

simplify25.0ms (0.9%)

Memory
-9.0MiB live, 29.1MiB 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 (1%)

Memory
-1.7MiB live, 36.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 z #s(literal 8 binary64))
accuracy0
(*.f64 x y)
accuracy0.00390625
(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy0.01171875
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Samples
15.0ms256×0valid
Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (47.2% of total)
ival-mult: 2.0ms (31.5% of total)
ival-sub: 1.0ms (15.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.3%)

Memory
11.9MiB live, 11.9MiB 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 (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<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 (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<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 (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<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 (* -1/8 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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 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 (* 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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 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 (* 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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 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 (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 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 (+ (* -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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 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 (* 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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

9 calls:

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

simplify145.0ms (5.4%)

Memory
-12.7MiB live, 181.0MiB 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
3859508
41956508
54016508
66381508
08111481
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 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)))
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* -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)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* -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))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 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)))
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 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)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x 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))
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 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)))
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x 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)))))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* 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)
(* 1/2 (* 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 #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))
(* 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 #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 (* 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)))
(* 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 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)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.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))
(* 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)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.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 (* 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)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.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 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)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.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 (+ (* -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)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.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 (* 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)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

rewrite226.0ms (8.4%)

Memory
4.9MiB live, 415.6MiB allocated
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)))))
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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 (1.3%)

Memory
4.8MiB live, 81.7MiB allocated
Compiler

Compiled 5 252 to 611 computations (88.4% saved)

prune33.0ms (1.2%)

Memory
-5.8MiB live, 75.9MiB 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)))
▶50.5%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
▶51.2%
#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)

simplify23.0ms (0.9%)

Memory
-14.0MiB live, 25.0MiB 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)

localize41.0ms (1.5%)

Memory
3.3MiB live, 82.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
accuracy0
(*.f64 z #s(literal -1/8 binary64))
accuracy0
(*.f64 y #s(literal 1/2 binary64))
accuracy0
(*.f64 z #s(literal -1/8 binary64))
accuracy31.663736370682464
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
accuracy0
(*.f64 x y)
accuracy0.00390625
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
accuracy31.258862185148708
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
Samples
26.0ms256×0valid
Compiler

Compiled 56 to 18 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (51.1% of total)
ival-div: 3.0ms (19.2% of total)
ival-add: 3.0ms (19.2% of total)
ival-sub: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.3%)

Memory
16.9MiB live, 16.9MiB 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 (* 1/2 (* 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 (* 1/2 (* 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 (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<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 (* 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 (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<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 (* 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 (* 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 (- (* 1/2 (* 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 (* 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 (* -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 (* -1/8 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 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 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 (* 1/2 (* 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 (* 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 (* 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 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<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 (* 1/2 (* 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 (* 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 (* 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 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 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 (* 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 (* -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 (* -1/8 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 (* 1/2 (* 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 (* 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 (* 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 (* 1/2 (* 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 (* 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 (* 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)))))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* x y)) (* x y) (- (/ (* x y) 2) (/ z 8)) (* z -1/8) (+ (* (* y 1/2) x) (* z -1/8)) (* y 1/2))
1.0ms
y
@inf
((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* x y)) (* x y) (- (/ (* x y) 2) (/ z 8)) (* z -1/8) (+ (* (* y 1/2) x) (* z -1/8)) (* y 1/2))
1.0ms
x
@-inf
((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* x y)) (* x y) (- (/ (* x y) 2) (/ z 8)) (* z -1/8) (+ (* (* y 1/2) x) (* z -1/8)) (* y 1/2))
1.0ms
y
@0
((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* x y)) (* x y) (- (/ (* x y) 2) (/ z 8)) (* z -1/8) (+ (* (* y 1/2) x) (* z -1/8)) (* y 1/2))
1.0ms
z
@0
((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* x y)) (* x y) (- (/ (* x y) 2) (/ z 8)) (* z -1/8) (+ (* (* y 1/2) x) (* z -1/8)) (* y 1/2))

simplify158.0ms (5.9%)

Memory
-2.1MiB live, 266.3MiB 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
38591104
419671104
540461104
664051104
081351023
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 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)))
(* 1/2 (* 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)
(* -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)))
(* -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)
(* 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)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -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 (* 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 (* 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)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* 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))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 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))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* 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))
(* 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 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 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))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 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 (* 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 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 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))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* 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))
(* -1/8 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))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* 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))
(* 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))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x 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 (* 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)))))
Outputs
(* 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 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.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)
(* 1/2 (* 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 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.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)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.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 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.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 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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 (* 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 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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)
(* 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 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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 (* 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 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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)
(* 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 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.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 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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 #s(literal -1/8 binary64) z))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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)
(* 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 #s(literal -1/8 binary64) z))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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 #s(literal -1/8 binary64) z))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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)
(* 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 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* 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 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))

rewrite257.0ms (9.5%)

Memory
16.5MiB live, 417.0MiB allocated
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)))
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(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) z)) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal 8 binary64)))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) (neg.f64 z))) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -8 binary64)))
(/.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))

eval94.0ms (3.5%)

Memory
-7.7MiB live, 114.5MiB allocated
Compiler

Compiled 5 941 to 585 computations (90.2% saved)

prune91.0ms (3.4%)

Memory
-21.2MiB live, 95.5MiB 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)))
✓50.5%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))
✓51.2%
#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)

regimes33.0ms (1.2%)

Memory
11.4MiB live, 58.6MiB 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:

20.0ms
x
2.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms
z
2.0ms
y
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)

regimes13.0ms (0.5%)

Memory
-9.3MiB live, 29.9MiB 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:

3.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms
z
2.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
(/.f64 (*.f64 x y) #s(literal 2 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
75.3%3x
77.1%3y
72.7%3z
67.5%5(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
83.0%3(/.f64 (*.f64 x y) #s(literal 2 binary64))
83.0%3(*.f64 x y)
72.7%3(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes11.0ms (0.4%)

Memory
-10.9MiB live, 27.9MiB 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:

3.0ms
(-.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
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
50.5%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
50.5%1z
50.5%1(/.f64 z #s(literal 8 binary64))
50.5%1x
50.5%1y
50.5%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
50.5%1(*.f64 x y)
Compiler

Compiled 44 to 33 computations (25% saved)

bsearch25.0ms (0.9%)

Memory
13.7MiB live, 51.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
9.251505178820262e-32
2.2448869435572182e-29
11.0ms
-3.0523708687419615e-36
-8.38799221692695e-43
Samples
10.0ms256×0valid
Compiler

Compiled 271 to 207 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (66.6% of total)
ival-sub: 1.0ms (22.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.2%)

Memory
14.5MiB live, 14.5MiB 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 -8829808292098383/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 178405961588245/44601490397061246283071436545296723011960832 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 -8829808292098383/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 178405961588245/44601490397061246283071436545296723011960832 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 -8829808292098383/2993155353253689176481146537402947624255349848014848 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (*.f64 y x) #s(literal 178405961588245/44601490397061246283071436545296723011960832 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)))

soundness377.0ms (14%)

Memory
6.0MiB live, 244.9MiB 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
3859508
41956508
54016508
66381508
08111481
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)

preprocess42.0ms (1.6%)

Memory
-11.1MiB live, 106.7MiB 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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