Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, B

Time bar (total: 8.7s)

analyze42.0ms (0.5%)

Memory
12.7MiB live, 90.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample2.1s (24.2%)

Memory
-115.5MiB live, 1 204.6MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 396.0ms
ival-mult: 210.0ms (53% of total)
ival-sub: 111.0ms (28% of total)
ival-div: 57.0ms (14.4% of total)
exact: 8.0ms (2% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess368.0ms (4.2%)

Memory
-40.5MiB live, 181.2MiB allocated
Algorithm
1×egg-herbie
Rules
2 736×lower-fma.f64
2 736×lower-fma.f32
1 156×div-sub
1 152×lower-*.f32
1 148×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039109
1126101
240599
3152581
4550581
01011
01511
12811
26811
31699
44099
59769
625779
745749
848889
948989
1049079
1149079
1252199
1354289
1454449
1554449
1654449
1754769
1855839
055838
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))

explain152.0ms (1.7%)

Memory
17.4MiB live, 211.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-z
00-0-#s(literal 4 binary64)
00-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
00-0-y
00-0-(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
00-0-(*.f64 z #s(literal 1/2 binary64))
00-0-(-.f64 x y)
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
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
79.0ms512×0valid
Compiler

Compiled 108 to 44 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 48.0ms (79.2% of total)
ival-mult: 6.0ms (9.9% of total)
ival-sub: 5.0ms (8.3% of total)
exact: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify218.0ms (2.5%)

Memory
15.5MiB live, 174.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
✓cost-diff128
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
✓cost-diff320
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Rules
2 736×lower-fma.f64
2 736×lower-fma.f32
1 156×div-sub
1 152×lower-*.f32
1 148×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
01538
12838
26838
316936
440936
597636
6257736
7457436
8488836
9489836
10490736
11490736
12521936
13542836
14544436
15544436
16544436
17547636
18558336
0558333
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
#s(literal 4 binary64)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(-.f64 x y)
x
y
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 1/2 binary64)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x y)))
#s(literal 4 binary64)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(-.f64 (fma.f64 z #s(literal -1/2 binary64) x) y)
(-.f64 x y)
x
y
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 1/2 binary64)

localize43.0ms (0.5%)

Memory
-26.0MiB live, 90.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 z #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Samples
30.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 12.0ms (54.5% of total)
ival-sub: 6.0ms (27.2% of total)
ival-mult: 3.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-2.4MiB live, 36.8MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)>
#<alt (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))>
#<alt (-.f64 x y)>
#<alt (*.f64 z #s(literal 1/2 binary64))>
Outputs
#<alt (* -4 (/ (+ y (* 1/2 z)) z))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x (* 1/2 z)) z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (* -1 (+ y (* 1/2 z)))>
#<alt (- x (+ y (* 1/2 z)))>
#<alt (- x (+ y (* 1/2 z)))>
#<alt (- x (+ y (* 1/2 z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt x>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (- x (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt (- x y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (* -1/2 z)>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* -1/2 z)>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
#<alt (* -4 (+ y (* 1/2 z)))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* 4 (- x (* 1/2 z)))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (* -4 y)>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* 4 (- x y))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (* -2 z)>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* -2 z)>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@0
(- x y)
1.0ms
z
@0
(/ (* 4 (- (- x y) (* z 1/2))) z)
1.0ms
z
@inf
(/ (* 4 (- (- x y) (* z 1/2))) z)
1.0ms
x
@inf
(/ (* 4 (- (- x y) (* z 1/2))) z)
1.0ms
x
@-inf
(/ (* 4 (- (- x y) (* z 1/2))) z)

rewrite318.0ms (3.7%)

Memory
32.9MiB live, 554.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 820×lower-fma.f64
4 820×lower-fma.f32
4 390×lower-*.f32
4 386×lower-*.f64
3 134×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
01533
16033
247033
3683133
0800930
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 338
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
(-.f64 x y)
(*.f64 z #s(literal 1/2 binary64))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(neg.f64 (/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) z))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))))
(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) z)
(/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) (*.f64 z (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 x y))) z))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) (*.f64 z (-.f64 (fma.f64 z #s(literal 1/2 binary64) x) y)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 z (fma.f64 z #s(literal 1/4 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))))) z))
(/.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) #s(literal 4 binary64)) (*.f64 (fma.f64 z #s(literal -1/2 binary64) (neg.f64 (-.f64 x y))) z))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (*.f64 x (/.f64 x (+.f64 x y))) (/.f64 (*.f64 y y) (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))) (fma.f64 x (/.f64 (*.f64 x x) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 y y (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(*.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (*.f64 x x))))
(*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (neg.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)

simplify321.0ms (3.7%)

Memory
-10.9MiB live, 423.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 634×lower-fma.f64
9 634×lower-fma.f32
3 970×lower-*.f64
3 970×lower-*.f32
1 970×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271088
13901087
211191031
33256885
08216800
Stop Event
1×iter limit
1×node limit
Counts
144 → 139
Calls
Call 1
Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* -1 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(- x y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* 4 (/ (- x (* 1/2 z)) z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (+ y (* 1/2 z)))
(-.f64 (*.f64 z #s(literal -1/2 binary64)) y)
(- x (+ y (* 1/2 z)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- x (+ y (* 1/2 z)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- x (+ y (* 1/2 z)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- x (* 1/2 z))
(fma.f64 z #s(literal -1/2 binary64) x)
(- (+ x (* -1 y)) (* 1/2 z))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- (+ x (* -1 y)) (* 1/2 z))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- (+ x (* -1 y)) (* 1/2 z))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- x y)
(-.f64 x y)
(- (+ x (* -1/2 z)) y)
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- (+ x (* -1/2 z)) y)
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(- (+ x (* -1/2 z)) y)
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))
(* -4 (+ y (* 1/2 z)))
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* 4 (- x (* 1/2 z)))
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* 4 (- x y))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* z (- (* 4 (/ (- x y) z)) 2))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* z (- (* 4 (/ (- x y) z)) 2))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* z (- (* 4 (/ (- x y) z)) 2))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)

eval60.0ms (0.7%)

Memory
7.8MiB live, 124.1MiB allocated
Compiler

Compiled 12 274 to 1 349 computations (89% saved)

prune55.0ms (0.6%)

Memory
10.4MiB live, 130.3MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4707477
Fresh000
Picked101
Done000
Total4717478
Accuracy
100.0%
Counts
478 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
▶69.6%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
63.6%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
▶33.8%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
▶34.8%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
69.4%
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
▶37.2%
#s(literal -2 binary64)
Compiler

Compiled 120 to 92 computations (23.3% saved)

simplify92.0ms (1.1%)

Memory
-18.5MiB live, 58.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
✓cost-diff0
(*.f64 #s(literal 4 binary64) x)
✓cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓cost-diff0
(*.f64 #s(literal -4 binary64) y)
✓cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 #s(literal 4 binary64) z)
✓cost-diff0
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
Rules
1 184×lower-fma.f32
1 180×lower-fma.f64
544×lower-*.f32
540×lower-*.f64
232×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01555
02655
13855
26155
310155
415655
523055
637555
763255
8102955
9174655
10201455
11207255
12209555
13209655
14209655
0209655
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(-.f64 x y)
x
y
#s(literal -2 binary64)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
z
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
#s(literal 4 binary64)
(/.f64 x z)
x
z
#s(literal -2 binary64)
Outputs
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(-.f64 x y)
x
y
#s(literal -2 binary64)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 #s(literal -4 binary64) y)
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
y
z
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
z
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
#s(literal 4 binary64)
(/.f64 x z)
x
z
#s(literal -2 binary64)

localize82.0ms (0.9%)

Memory
8.7MiB live, 99.6MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) x)
✓accuracy100.0%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) z)
✓accuracy100.0%
(-.f64 x y)
✓accuracy99.8%
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
Samples
63.0ms256×0valid
Compiler

Compiled 57 to 19 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 36.0ms (70.5% of total)
ival-div: 11.0ms (21.6% of total)
ival-add: 2.0ms (3.9% of total)
ival-sub: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
0.1MiB live, 36.4MiB allocated
Counts
9 → 192
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))>
#<alt (/.f64 #s(literal 4 binary64) z)>
#<alt (-.f64 x y)>
#<alt (/.f64 (*.f64 #s(literal -4 binary64) y) z)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 (*.f64 #s(literal 4 binary64) x) z)>
#<alt (*.f64 #s(literal 4 binary64) x)>
#<alt (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))>
#<alt (/.f64 x z)>
Outputs
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
Calls

48 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(* -4 y)
3.0ms
y
@-inf
(+ (* (/ 4 z) (- x y)) -2)
1.0ms
y
@inf
(/ (* -4 y) z)
0.0ms
x
@0
(+ (* (/ 4 z) (- x y)) -2)
0.0ms
y
@0
(/ (* -4 y) z)

rewrite353.0ms (4.1%)

Memory
14.7MiB live, 483.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 778×lower-fma.f32
6 774×lower-fma.f64
5 422×lower-*.f32
5 418×lower-*.f64
3 762×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01539
02639
19739
270139
0831139
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 465
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
(-.f64 x y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(*.f64 #s(literal 4 binary64) x)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/.f64 x z)
Outputs
(+.f64 #s(literal -2 binary64) (/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64))))
(+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (*.f64 y (/.f64 #s(literal -4 binary64) z)))
(+.f64 (/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64))) #s(literal -2 binary64))
(+.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 z #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(fma.f64 (-.f64 x y) (/.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64))) (*.f64 z #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))))
(fma.f64 #s(literal -4 binary64) (/.f64 x (neg.f64 z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) x) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (neg.f64 (*.f64 z (fma.f64 y (+.f64 x y) (*.f64 x x))))) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (neg.f64 (*.f64 z (+.f64 x y)))) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) z) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64))) (/.f64 (/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))))
(fma.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -4 binary64) z) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (neg.f64 x) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))) (*.f64 y (/.f64 #s(literal -4 binary64) z)))
(fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 1/4 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 z #s(literal 1/4 binary64))) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 z (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 z (fma.f64 y (+.f64 x y) (*.f64 x x))))) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (/.f64 #s(literal 4 binary64) z) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (*.f64 y (/.f64 #s(literal -4 binary64) z)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) x) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1 binary64)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 x y) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(fma.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (*.f64 y (/.f64 #s(literal -4 binary64) z)))
(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 x y)) #s(literal 1/4 binary64))) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 z #s(literal 1/4 binary64))) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 4 binary64) (*.f64 z (+.f64 x y))) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 z (+.f64 x y)))) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (/.f64 #s(literal 4 binary64) z) (+.f64 x y)) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) z) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal -2 binary64))
(fma.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (fma.f64 y (+.f64 x y) (*.f64 x x))))) #s(literal -2 binary64))
(fma.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (+.f64 x y)))) #s(literal -2 binary64))
(fma.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))) (*.f64 y (/.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) (*.f64 y (/.f64 #s(literal -4 binary64) z)))
(fma.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x #s(literal -4 binary64)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (*.f64 y (/.f64 #s(literal -4 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (*.f64 y (/.f64 #s(literal -4 binary64) z)))
(fma.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) z))) (*.f64 y (/.f64 #s(literal -4 binary64) z)))
(fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) (*.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) (*.f64 z #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) (neg.f64 x) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (/.f64 (/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64))) (*.f64 z #s(literal 1/4 binary64))) (/.f64 (-.f64 x y) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 z #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 z #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 z #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))) z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 4 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 4 binary64) x)) #s(literal -1/2 binary64)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)))) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (*.f64 y (/.f64 #s(literal -4 binary64) z)))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) z)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)))))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) #s(literal 4 binary64)) (fma.f64 x (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) #s(literal -512 binary64)) (*.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal -512 binary64))))))
(/.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) #s(literal -64 binary64)) (*.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal 8 binary64))))
(/.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) #s(literal -64 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (fma.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) #s(literal 16 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) z)))
(/.f64 (fma.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z)))) #s(literal -16 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) #s(literal 4 binary64))) (neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)))) (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal -512 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal 8 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) #s(literal 16 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z)))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(*.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))))
(*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) z))))
(*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)))) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)))))) (fma.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (*.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 x (/.f64 #s(literal -8 binary64) z) #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 z))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(/.f64 x z)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))

simplify268.0ms (3.1%)

Memory
-8.6MiB live, 395.6MiB allocated
Algorithm
1×egg-herbie
Rules
6 662×lower-fma.f64
6 662×lower-fma.f32
2 396×lower-*.f64
2 396×lower-*.f32
1 896×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079925
1210925
2571925
31781925
45508925
57586925
08305878
Stop Event
1×iter limit
1×node limit
Counts
192 → 189
Calls
Call 1
Inputs
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* 4 (/ x z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(- (* 4 (/ x z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(* 4 (/ x z))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
Outputs
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (fma.f64 #s(literal 4 binary64) x (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (fma.f64 #s(literal 4 binary64) x (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (fma.f64 #s(literal 4 binary64) x (*.f64 z #s(literal -2 binary64))) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)

eval81.0ms (0.9%)

Memory
2.5MiB live, 151.3MiB allocated
Compiler

Compiled 11 286 to 1 123 computations (90% saved)

prune83.0ms (1%)

Memory
-15.3MiB live, 150.1MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6522654
Fresh112
Picked055
Done000
Total6538661
Accuracy
100.0%
Counts
661 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
▶69.4%
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
✓69.6%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
▶63.6%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓33.8%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓34.8%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
▶33.8%
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
✓37.2%
#s(literal -2 binary64)
Compiler

Compiled 67 to 51 computations (23.9% saved)

simplify119.0ms (1.4%)

Memory
24.7MiB live, 61.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -4 binary64) z)
✓cost-diff0
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 x y))
✓cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓cost-diff0
(/.f64 #s(literal 4 binary64) z)
✓cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
Rules
864×lower-fma.f32
862×lower-fma.f64
512×lower-*.f32
508×lower-*.f64
260×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
02143
13343
25343
37343
412343
520343
635343
755243
884443
9142343
10176643
11181943
12184043
13184743
14185543
15185543
0185543
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
x
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(*.f64 #s(literal 4 binary64) (-.f64 x y))
#s(literal 4 binary64)
(-.f64 x y)
x
y
z
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
y
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
#s(literal -2 binary64)
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
x
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(*.f64 #s(literal 4 binary64) (-.f64 x y))
#s(literal 4 binary64)
(-.f64 x y)
x
y
z
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
y
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
#s(literal -2 binary64)

localize210.0ms (2.4%)

Memory
-13.4MiB live, 61.9MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal -4 binary64) z)
✓accuracy99.8%
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 x y))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) z)
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
Samples
26.0ms256×0valid
Compiler

Compiled 45 to 16 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 6.0ms (45.7% of total)
ival-mult: 4.0ms (30.5% of total)
ival-sub: 1.0ms (7.6% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 4 binary64) z) x)>
#<alt (/.f64 #s(literal 4 binary64) z)>
#<alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)>
#<alt (*.f64 #s(literal 4 binary64) (-.f64 x y))>
#<alt (-.f64 x y)>
#<alt (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))>
#<alt (/.f64 #s(literal -4 binary64) z)>
Outputs
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (* -4 (/ y z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* -4 y)>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* 4 x)>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (* -4 y)>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ y z))>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (/ -4 z)>
#<alt (/ -4 z)>
#<alt (/ -4 z)>
#<alt (/ -4 z)>
#<alt (/ -4 z)>
#<alt (/ -4 z)>
#<alt (/ -4 z)>
#<alt (/ -4 z)>
#<alt (/ -4 z)>
#<alt (/ -4 z)>
#<alt (/ -4 z)>
#<alt (/ -4 z)>
Calls

39 calls:

TimeVariablePointExpression
0.0ms
z
@0
(/ (* 4 (- x y)) z)
0.0ms
z
@inf
(/ (* 4 (- x y)) z)
0.0ms
y
@inf
(+ (* y (/ -4 z)) -2)
0.0ms
y
@inf
(* 4 (- x y))
0.0ms
z
@0
(/ -4 z)

rewrite311.0ms (3.6%)

Memory
19.7MiB live, 417.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 054×lower-*.f32
4 050×lower-*.f64
3 440×lower-fma.f32
3 438×lower-fma.f64
2 810×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
02132
17732
245432
3484632
0853532
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 407
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 #s(literal 4 binary64) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(-.f64 x y)
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 #s(literal 4 binary64) x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 x #s(literal -4 binary64)) z))
(/.f64 x (*.f64 z #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 #s(literal 4 binary64) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 #s(literal 4 binary64) x))))
(/.f64 (*.f64 x #s(literal -4 binary64)) (neg.f64 z))
(/.f64 (/.f64 x z) #s(literal 1/4 binary64))
(/.f64 (neg.f64 x) (*.f64 z #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 x #s(literal -4 binary64))) z)
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 z #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 z #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) z)
(pow.f64 (/.f64 z (*.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 #s(literal 4 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) x))
(*.f64 #s(literal -4 binary64) (/.f64 x (neg.f64 z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x (neg.f64 z)) #s(literal -4 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) z))
(exp.f64 (neg.f64 (log.f64 (*.f64 z #s(literal 1/4 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) z))
(neg.f64 (/.f64 #s(literal 4 binary64) z))
(/.f64 #s(literal 4 binary64) z)
(/.f64 #s(literal 4 binary64) (neg.f64 z))
(/.f64 #s(literal -4 binary64) z)
(/.f64 #s(literal -4 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/4 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 z #s(literal 1/4 binary64)) (*.f64 z #s(literal 1/4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -4 binary64))
(*.f64 (pow.f64 (*.f64 z #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) x) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 x (neg.f64 z)) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) x) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x #s(literal 1/4 binary64)) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (/.f64 x (neg.f64 z)) #s(literal -4 binary64) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y)))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) z))
(/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (neg.f64 z))
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 z)))
(/.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) z)
(/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/4 binary64) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 z (fma.f64 y (+.f64 x y) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (neg.f64 z) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 z (+.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 (neg.f64 z) (+.f64 x y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 x y)) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 x y)) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal -4 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal -4 binary64)) (*.f64 (+.f64 x y) (neg.f64 z)))
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(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 y (*.f64 y (/.f64 #s(literal 16 binary64) (*.f64 z z))) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -262144 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 4096 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 512 binary64)) (*.f64 z (*.f64 z z))))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 4096 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal 8 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 4096 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 (*.f64 y y) #s(literal 16 binary64))) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) #s(literal 16 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 (*.f64 y y) #s(literal 16 binary64))) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))) (fma.f64 y (*.f64 y (/.f64 #s(literal 16 binary64) (*.f64 z z))) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64)))
(*.f64 (fma.f64 y (*.f64 y (/.f64 #s(literal 16 binary64) (*.f64 z z))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))) (fma.f64 y (*.f64 y (/.f64 #s(literal 16 binary64) (*.f64 z z))) #s(literal -4 binary64)))
(*.f64 (fma.f64 y (*.f64 y (/.f64 #s(literal 16 binary64) (*.f64 z z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y (/.f64 #s(literal 16 binary64) (*.f64 z z))) #s(literal -4 binary64)) (fma.f64 y (*.f64 y (/.f64 #s(literal 16 binary64) (*.f64 z z))) #s(literal -4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (fma.f64 (fma.f64 y (/.f64 #s(literal 8 binary64) z) #s(literal 4 binary64)) (*.f64 (fma.f64 y (/.f64 #s(literal 8 binary64) z) #s(literal 4 binary64)) (fma.f64 y (/.f64 #s(literal 8 binary64) z) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 4096 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (fma.f64 (fma.f64 y (/.f64 #s(literal 8 binary64) z) #s(literal 4 binary64)) (-.f64 (fma.f64 y (/.f64 #s(literal 8 binary64) z) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 (*.f64 y y) #s(literal 16 binary64))) (*.f64 (*.f64 z z) (*.f64 z z)))))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (*.f64 (fma.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (fma.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y (/.f64 #s(literal 16 binary64) (*.f64 z z))) #s(literal -4 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64 binary64) (*.f64 z (*.f64 z z))) #s(literal 8 binary64))) (fma.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (neg.f64 (log.f64 (*.f64 z #s(literal 1/4 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) z))
(neg.f64 (/.f64 #s(literal 4 binary64) z))
(/.f64 #s(literal 4 binary64) z)
(/.f64 #s(literal 4 binary64) (neg.f64 z))
(/.f64 #s(literal -4 binary64) z)
(/.f64 #s(literal -4 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/4 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 z #s(literal 1/4 binary64)) (*.f64 z #s(literal 1/4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -4 binary64))
(*.f64 (pow.f64 (*.f64 z #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))

simplify523.0ms (6%)

Memory
-29.2MiB live, 330.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 234×lower-fma.f64
7 234×lower-fma.f32
3 744×lower-*.f64
3 744×lower-*.f32
1 624×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084909
1239909
2669753
32013753
43467753
55970753
08086735
Stop Event
1×iter limit
1×node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(* -4 (/ y z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* -4 y)
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ y x))))
(* x (+ 4 (* -4 (/ y x))))
(* x (+ 4 (* -4 (/ y x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* 4 x)
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(* -4 y)
(* y (- (* 4 (/ x y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(* -4 (/ y z))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
Outputs
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) z)
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)

eval66.0ms (0.8%)

Memory
14.4MiB live, 125.3MiB allocated
Compiler

Compiled 8 618 to 1 030 computations (88% saved)

prune62.0ms (0.7%)

Memory
-9.3MiB live, 150.4MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New5591560
Fresh000
Picked123
Done055
Total5608568
Accuracy
100.0%
Counts
568 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
✓69.4%
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
✓69.6%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
✓33.8%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓34.8%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
▶63.4%
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
✓33.8%
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
✓37.2%
#s(literal -2 binary64)
Compiler

Compiled 67 to 51 computations (23.9% saved)

simplify65.0ms (0.8%)

Memory
13.1MiB live, 86.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 #s(literal 4 binary64) z)
✓cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
Rules
784×lower-fma.f64
784×lower-fma.f32
496×lower-*.f32
494×lower-*.f64
234×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01017
11517
23617
37117
412617
519017
631417
752617
886217
9154317
10176517
11181017
12182517
13182617
14182617
0182617
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(-.f64 x y)
x
y
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(-.f64 x y)
x
y

localize32.0ms (0.4%)

Memory
9.5MiB live, 58.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) z)
✓accuracy100.0%
(-.f64 x y)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
Samples
18.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (36.4% of total)
ival-sub: 1.0ms (18.2% of total)
ival-mult: 1.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))>
#<alt (/.f64 #s(literal 4 binary64) z)>
#<alt (-.f64 x y)>
Outputs
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* -4 (/ y z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
Calls

18 calls:

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

rewrite325.0ms (3.7%)

Memory
27.5MiB live, 448.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 634×lower-/.f32
4 632×lower-/.f64
3 710×lower-*.f32
3 708×lower-*.f64
3 370×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
01013
13713
226113
3289913
0873413
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 577
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/.f64 #s(literal 4 binary64) z)
(-.f64 x y)
Outputs
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(+.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 z #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 z #s(literal 1/4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (*.f64 z #s(literal 1/4 binary64))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (*.f64 z #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/4 binary64))) (/.f64 (-.f64 y x) (*.f64 z #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 z #s(literal 1/4 binary64))) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z (*.f64 #s(literal 1/4 binary64) (+.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 z (*.f64 #s(literal 1/4 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 z (*.f64 #s(literal 1/4 binary64) (+.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 z (*.f64 #s(literal 1/4 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 z (*.f64 #s(literal 1/4 binary64) (+.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 z (*.f64 #s(literal 1/4 binary64) (+.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 z #s(literal 1/4 binary64)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z #s(literal 1/4 binary64)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 z #s(literal -1/4 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z #s(literal -1/4 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64))))) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 z #s(literal 1/4 binary64)) (neg.f64 (+.f64 x y)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (*.f64 z #s(literal 1/4 binary64)) (neg.f64 (+.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 z #s(literal -1/4 binary64)) (+.f64 x y))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (*.f64 z #s(literal -1/4 binary64)) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (*.f64 #s(literal 1/4 binary64) (+.f64 x y))))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (neg.f64 (*.f64 z (*.f64 #s(literal 1/4 binary64) (+.f64 x y))))))
(-.f64 (/.f64 (/.f64 x z) #s(literal 1/4 binary64)) (/.f64 (/.f64 y z) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) z) #s(literal 1/4 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) z) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) z) #s(literal 1/4 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) z) #s(literal 1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) z))
(-.f64 (/.f64 (*.f64 (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (/.f64 x (*.f64 z #s(literal 1/4 binary64)))) (/.f64 (+.f64 x y) (*.f64 z #s(literal 1/4 binary64)))) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) (/.f64 (*.f64 #s(literal -4 binary64) y) z)) (/.f64 (+.f64 x y) (*.f64 z #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (neg.f64 y) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) x) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -4 binary64) y) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 4 binary64) z) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal 4 binary64) z)) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z) (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) #s(literal -1 binary64)) y (/.f64 x (*.f64 z #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 x y)))
(neg.f64 (*.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z)))
(neg.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) z))
(/.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) z))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 z))))
(/.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 x y) (*.f64 z #s(literal 1/4 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 z)))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) z)))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 z #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 #s(literal 4 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x y) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal 1/4 binary64) (+.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 #s(literal -4 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 z (+.f64 x y))) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 x y) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 z #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 z #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 z #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 z #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y))))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 z (*.f64 #s(literal 1/4 binary64) (+.f64 x y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 z #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 z #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 z #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 #s(literal 4 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z (+.f64 x y)) (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x y) (+.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z (*.f64 #s(literal 1/4 binary64) (+.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 #s(literal -4 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 z #s(literal 1/4 binary64))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (*.f64 z (+.f64 x y))) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 x y) (+.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 z #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 z #s(literal 1/4 binary64))))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 z (+.f64 x y)))
(/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (neg.f64 (fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))) (neg.f64 (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))) (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (neg.f64 (fma.f64 x x (*.f64 y y))))
(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (pow.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))) (pow.f64 (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y)))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))

simplify624.0ms (7.2%)

Memory
-44.6MiB live, 357.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 782×lower-fma.f64
5 782×lower-fma.f32
3 260×lower-*.f64
3 260×lower-*.f32
1 744×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052339
1154339
2467339
31493339
43241339
55442339
67228339
77697339
87775339
97779339
08334339
Stop Event
1×iter limit
1×node limit
Counts
72 → 69
Calls
Call 1
Inputs
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* -4 (/ y z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval78.0ms (0.9%)

Memory
-2.8MiB live, 190.3MiB allocated
Compiler

Compiled 15 442 to 1 679 computations (89.1% saved)

prune151.0ms (1.7%)

Memory
-8.7MiB live, 189.8MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New6460646
Fresh000
Picked011
Done077
Total6468654
Accuracy
100.0%
Counts
654 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
✓69.4%
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
✓69.6%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
✓33.8%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓34.8%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓63.4%
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
✓33.8%
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
✓37.2%
#s(literal -2 binary64)
Compiler

Compiled 138 to 80 computations (42% saved)

regimes22.0ms (0.3%)

Memory
20.7MiB live, 59.1MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Calls

5 calls:

5.0ms
z
4.0ms
(-.f64 x y)
4.0ms
y
4.0ms
x
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
100.0%1(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes24.0ms (0.3%)

Memory
-20.3MiB live, 28.9MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
Outputs
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
Calls

5 calls:

8.0ms
(-.f64 x y)
4.0ms
z
4.0ms
y
4.0ms
x
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
99.8%1(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes20.0ms (0.2%)

Memory
15.4MiB live, 52.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
Calls

5 calls:

5.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
4.0ms
z
4.0ms
(-.f64 x y)
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
87.9%3x
88.6%3y
88.5%3z
98.8%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
88.1%5(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes5.0ms (0.1%)

Memory
-27.5MiB live, 10.8MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
Calls

1 calls:

4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
98.6%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory
28.2MiB live, 28.2MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
Outputs
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
Calls

3 calls:

3.0ms
z
3.0ms
y
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
73.0%2z
88.4%3y
73.4%2(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory
-12.7MiB live, 26.8MiB allocated
Counts
5 → 5
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
Outputs
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
Calls

3 calls:

3.0ms
y
3.0ms
x
2.0ms
(-.f64 x y)
Results
AccuracySegmentsBranch
75.6%4(-.f64 x y)
73.0%3x
85.8%5y
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes14.0ms (0.2%)

Memory
0.3MiB live, 42.8MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
Outputs
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
Calls

5 calls:

5.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(-.f64 x y)
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
55.9%4x
57.5%5(-.f64 x y)
60.3%4z
70.9%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
56.9%3y
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes2.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
Outputs
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
70.9%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
Calls

1 calls:

1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
67.6%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory
-16.6MiB live, 21.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -2 binary64)
Outputs
#s(literal -2 binary64)
Calls

5 calls:

3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
1.0ms
(-.f64 x y)
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
37.2%1x
37.2%1(-.f64 x y)
37.2%1y
37.2%1z
37.2%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
15432965933162.15
1337377637247943000.0
0.0ms
-42045786084970.87
-266933373618.1627
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
15432965933162.15
1337377637247943000.0
0.0ms
-42045786084970.87
-266933373618.1627
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch23.0ms (0.3%)

Memory
20.1MiB live, 58.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.1901662371647774e+34
1.0452349097431307e+35
12.0ms
-4.930585437728719e+49
-7.363878890739363e+46
Samples
12.0ms224×0valid
Compiler

Compiled 297 to 240 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40% of total)
ival-sub: 2.0ms (26.7% of total)
ival-div: 2.0ms (26.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch132.0ms (1.5%)

Memory
-29.5MiB live, 128.3MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.465276439256432e+121
8.761979935556248e+129
11.0ms
-4.930585437728719e+49
-7.363878890739363e+46
16.0ms
-4.782226143425885e+120
-2.8434243791618542e+110
12.0ms
-1.7059576495710623e+177
-8.761576575128994e+173
Samples
32.0ms544×0valid
Compiler

Compiled 682 to 541 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (46.6% of total)
ival-sub: 5.0ms (25.9% of total)
ival-div: 4.0ms (20.7% of total)
exact: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.7841805328930678
10134.26295292782
0.0ms
-1418092.7497158528
-2.0005648165242955
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.7841805328930678
10134.26295292782
0.0ms
-1418092.7497158528
-2.0005648165242955
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.7841805328930678
10134.26295292782
0.0ms
-6454940.5013326295
-1418092.7497158528
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify11.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
12×+-commutative_binary64
12×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063302
177302
291302
399302
4104302
5105302
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -40000000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 20000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -40000000000000 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 20000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))))
(if (<=.f64 y #s(literal -1550000000000000027396237512564765051788271288320 binary64)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) (if (<=.f64 y #s(literal 37000000000000000868587308037701632 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -1119999999999999927854478556823865492195243842143613143202124639149929370695748933236709544837938225490894200087696437639968694089912181651413552650972482123880156657377869824 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 y #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (if (<=.f64 y #s(literal -47999999999999999508452036896243658757186122678272 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 y #s(literal 439999999999999984321030224883233985101811598968422925613310289700696491223302121043738723103742249282045813749296836640768 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) z) x)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) z) x) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) z) x)))
#s(literal -2 binary64)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -40000000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 20000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -40000000000000 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 20000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -40000000000000 binary64)) (*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 20000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z))))
(if (<=.f64 y #s(literal -1550000000000000027396237512564765051788271288320 binary64)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) (if (<=.f64 y #s(literal 37000000000000000868587308037701632 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -1119999999999999927854478556823865492195243842143613143202124639149929370695748933236709544837938225490894200087696437639968694089912181651413552650972482123880156657377869824 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 y #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (if (<=.f64 y #s(literal -47999999999999999508452036896243658757186122678272 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 y #s(literal 439999999999999984321030224883233985101811598968422925613310289700696491223302121043738723103742249282045813749296836640768 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z)))))
(if (<=.f64 y #s(literal -1119999999999999927854478556823865492195243842143613143202124639149929370695748933236709544837938225490894200087696437639968694089912181651413552650972482123880156657377869824 binary64)) (/.f64 (*.f64 y #s(literal -4 binary64)) z) (if (<=.f64 y #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (if (<=.f64 y #s(literal -47999999999999999508452036896243658757186122678272 binary64)) (/.f64 (*.f64 y #s(literal -4 binary64)) z) (if (<=.f64 y #s(literal 439999999999999984321030224883233985101811598968422925613310289700696491223302121043738723103742249282045813749296836640768 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -4 binary64)) z)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000 binary64)) (/.f64 (*.f64 y #s(literal -4 binary64)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) z) x)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000 binary64)) (/.f64 (*.f64 y #s(literal -4 binary64)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) z))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) z) x) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) z) x)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000 binary64)) (*.f64 x (/.f64 #s(literal 4 binary64) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) z))))
#s(literal -2 binary64)

soundness940.0ms (10.8%)

Memory
5.0MiB live, 676.4MiB allocated
Rules
9 634×lower-fma.f64
9 634×lower-fma.f32
6 778×lower-fma.f32
6 774×lower-fma.f64
6 662×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
02132
17732
245432
3484632
0853532
01271088
13901087
211191031
33256885
08216800
079925
1210925
2571925
31781925
45508925
57586925
08305878
01539
02639
19739
270139
0831139
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 430 to 164 computations (61.9% saved)

preprocess221.0ms (2.5%)

Memory
-33.5MiB live, 218.1MiB allocated
Compiler

Compiled 670 to 168 computations (74.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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