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

Time bar (total: 10.0s)

analyze40.0ms (0.4%)

Memory
-25.8MiB live, 91.9MiB allocated
Algorithm
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
50%49.9%49.9%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
75%74.9%25%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
87.5%87.4%12.5%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
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample1.1s (11.3%)

Memory
56.1MiB live, 1 428.2MiB allocated
Samples
789.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 366.0ms
ival-mult: 111.0ms (30.3% of total)
ival-add: 104.0ms (28.4% of total)
ival-div: 68.0ms (18.6% of total)
ival-sub: 66.0ms (18% of total)
exact: 9.0ms (2.5% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess417.0ms (4.2%)

Memory
-64.1MiB live, 256.4MiB allocated
Algorithm
egg-herbie
Rules
4 256×accelerator-lowering-fma.f32
4 256×accelerator-lowering-fma.f64
1 398×div-sub
1 352×div-sub
1 344×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050143
1134130
2397130
31129130
43308114
57511114
01213
12413
25213
310213
420413
54629
69349
717669
828819
946089
1053459
1159419
1259489
1359509
1459509
1561689
1662779
1762779
1862779
1962779
2063099
2164359
064358
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
Call 2
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y))
(+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y)))
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y))
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y)))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y))))
(neg (+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y)))
(+ 1 (/ (* 4 (- (+ y (* x 3/4)) z)) x))
(+ 1 (/ (* 4 (- (+ z (* y 3/4)) x)) y))
(+ 1 (/ (* 4 (- (+ x (* z 3/4)) y)) z))
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+ 1 (* 4 (- 3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y))
(+ 1 (* 4 (- 3/4 (/ (+ x z) y))))
(+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y)))
(+ 1 (* 4 (+ 3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y))
(- 1 (* 4 (- -3/4 (/ (+ x z) y))))
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y)))
(+ -1 (* 4 (+ -3/4 (/ (+ x z) y))))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y))))
(+ -1 (* 4 (+ -3/4 (/ (- x z) y))))
(neg (+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y)))
(+ -1 (* 4 (- -3/4 (/ (+ x z) y))))
(+ 1 (/ (* 4 (- (+ y (* x 3/4)) z)) x))
(- 1 (* (- (- z (* x 3/4)) y) (/ 4 x)))
(+ 1 (/ (* 4 (- (+ z (* y 3/4)) x)) y))
(+ 1 (* 4 (+ 3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ x (* z 3/4)) y)) z))
(+ 1 (* (+ x (- (* z 3/4) y)) (/ 4 z)))

explain175.0ms (1.8%)

Memory
23.5MiB live, 295.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 y #s(literal 3/4 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 3/4 binary64)
00-0-y
00-0-(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
00-0-(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)o/n20
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z))overflow3
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms444×0valid
28.0ms4valid
5.0ms34×1valid
4.0ms16×3valid
3.0ms16×2valid
Compiler

Compiled 144 to 52 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 8.0ms (33.4% of total)
ival-add: 6.0ms (25.1% of total)
ival-div: 4.0ms (16.7% of total)
ival-sub: 3.0ms (12.5% of total)
adjust: 2.0ms (8.4% of total)
exact: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 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
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify345.0ms (3.5%)

Memory
23.3MiB live, 216.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z))
cost-diff128
(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
cost-diff192
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
cost-diff320
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Rules
4 256×accelerator-lowering-fma.f32
4 256×accelerator-lowering-fma.f64
1 352×div-sub
1 344×*-lowering-*.f32
1 344×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
12454
25254
310254
420454
546248
693448
7176648
8288148
9460848
10534548
11594148
12594848
13595048
14595048
15616848
16627748
17627748
18627748
19627748
20630948
21643548
0643543
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
1
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(* 4 (- (+ x (* y 3/4)) z))
4
(- (+ x (* y 3/4)) z)
(+ x (* y 3/4))
x
(* y 3/4)
y
3/4
z
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
1
#s(literal 1 binary64)
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))
(* 4 (- (+ x (* y 3/4)) z))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
4
#s(literal 4 binary64)
(- (+ x (* y 3/4)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(+ x (* y 3/4))
(fma.f64 y #s(literal 3/4 binary64) x)
x
(* y 3/4)
(*.f64 y #s(literal 3/4 binary64))
y
3/4
#s(literal 3/4 binary64)
z

localize55.0ms (0.6%)

Memory
-32.6MiB live, 62.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z))
accuracy99.9%
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
accuracy99.8%
(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
accuracy99.1%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Samples
21.0ms222×0valid
2.0ms17×1valid
2.0ms3valid
2.0ms2valid
0.0ms4valid
Compiler

Compiled 56 to 14 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (33.2% of total)
ival-add: 3.0ms (24.9% of total)
ival-div: 2.0ms (16.6% of total)
adjust: 1.0ms (8.3% of total)
ival-sub: 1.0ms (8.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-13.1MiB live, 23.9MiB allocated
Counts
5 → 168
Calls
Call 1
Inputs
#<alt (/ (* 4 (- (+ x (* y 3/4)) z)) y)>
#<alt (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))>
#<alt (+ x (* y 3/4))>
#<alt (* 4 (- (+ x (* y 3/4)) z))>
#<alt (- (+ x (* y 3/4)) z)>
Outputs
#<alt (* 4 (/ (- (* 3/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (+ x (* 3/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* 3/4 y)>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt x>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (* 3/4 y)>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* 3/4 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* 4 (- (* 3/4 y) z))>
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))>
#<alt (* 4 (- x z))>
#<alt (+ (* 3 y) (* 4 (- x z)))>
#<alt (+ (* 3 y) (* 4 (- x z)))>
#<alt (+ (* 3 y) (* 4 (- x z)))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))>
#<alt (* 4 (+ x (* 3/4 y)))>
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))>
#<alt (* -4 z)>
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))>
#<alt (* -4 z)>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))>
#<alt (- (* 3/4 y) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt x>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (- x z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (* 3/4 y)>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* 3/4 y)>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(* 4 (- (+ x (* y 3/4)) z))
1.0ms
y
@-inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
x
@inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
x
@0
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
x
@-inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)

rewrite402.0ms (4%)

Memory
35.0MiB live, 672.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 902×accelerator-lowering-fma.f32
6 902×accelerator-lowering-fma.f64
5 378×*-lowering-*.f32
5 378×*-lowering-*.f64
3 678×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
16845
262345
0846939
Stop Event
iter limit
node limit
Counts
5 → 436
Calls
Call 1
Inputs
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+ x (* y 3/4))
(* 4 (- (+ x (* y 3/4)) z))
(- (+ x (* y 3/4)) z)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4 binary64) z)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 z) #s(literal 4 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)))
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(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) y))
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(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) #s(literal 4 binary64))))
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(fma.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) y)))
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(neg.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) y))
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)))
(/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) (neg.f64 y))
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(/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal -4 binary64)) #s(literal -1 binary64)) y)
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(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z z))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z))))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 z z)) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))))
(*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (neg.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x))) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 (+.f64 x (*.f64 y #s(literal -3/4 binary64))) z)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y #s(literal -3/4 binary64))) z)))
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))
(*.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (*.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 z (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (-.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (*.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 z (-.f64 z (fma.f64 y #s(literal 3/4 binary64) x)))))

simplify446.0ms (4.5%)

Memory
10.4MiB live, 601.8MiB allocated
Algorithm
egg-herbie
Rules
12 206×accelerator-lowering-fma.f32
12 206×accelerator-lowering-fma.f64
4 778×*-lowering-*.f32
4 778×*-lowering-*.f64
2 668×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01481462
14461462
212221252
336841200
082661070
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 4 (/ (- (* 3/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(* 4 (/ (+ x (* 3/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* 3/4 y)
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
x
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
x
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
x
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(* 3/4 y)
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* 4 (- (* 3/4 y) z))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* 4 x)
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* 4 (- x z))
(+ (* 3 y) (* 4 (- x z)))
(+ (* 3 y) (* 4 (- x z)))
(+ (* 3 y) (* 4 (- x z)))
(* 3 y)
(* y (+ 3 (* 4 (/ (- x z) y))))
(* y (+ 3 (* 4 (/ (- x z) y))))
(* y (+ 3 (* 4 (/ (- x z) y))))
(* 3 y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* 4 (+ x (* 3/4 y)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(- (* 3/4 y) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(- x z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(* 3/4 y)
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(+ x (* 3/4 y))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(* -1 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
Outputs
(* 4 (/ (- (* 3/4 y) z) y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ (+ x (* 3/4 y)) y))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -3 binary64)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) (*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) (*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) (*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) #s(literal 1 binary64)))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 y (-.f64 x z)) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 y (-.f64 x z)) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 y (-.f64 x z)) y))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
x
(* x (+ 1 (* 3/4 (/ y x))))
(fma.f64 #s(literal 3/4 binary64) y x)
(* x (+ 1 (* 3/4 (/ y x))))
(fma.f64 #s(literal 3/4 binary64) y x)
(* x (+ 1 (* 3/4 (/ y x))))
(fma.f64 #s(literal 3/4 binary64) y x)
x
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(fma.f64 #s(literal 3/4 binary64) y x)
x
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* y (+ 3/4 (/ x y)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* y (+ 3/4 (/ x y)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* y (+ 3/4 (/ x y)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* 4 (- (* 3/4 y) z))
(fma.f64 y #s(literal 3 binary64) (*.f64 z #s(literal -4 binary64)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 4 (- x z))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* 3 y) (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* 3 y) (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* 3 y) (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (+ 3 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* y (+ 3 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* y (+ 3 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 4 (+ x (* 3/4 y)))
(fma.f64 y #s(literal 3 binary64) (*.f64 #s(literal 4 binary64) x))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(- (* 3/4 y) z)
(-.f64 (*.f64 #s(literal 3/4 binary64) y) z)
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- x z)
(-.f64 x z)
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 z)
(neg.f64 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))

eval138.0ms (1.4%)

Memory
6.4MiB live, 160.5MiB allocated
Compiler

Compiled 17 472 to 1 930 computations (89% saved)

prune184.0ms (1.8%)

Memory
-5.2MiB live, 153.1MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5959604
Fresh000
Picked101
Done000
Total5969605
Accuracy
100.0%
Counts
605 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64))
65.8%
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
63.2%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
37.1%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
87.1%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z))) y))
99.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))))
30.2%
(*.f64 z (/.f64 #s(literal -4 binary64) y))
72.7%
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
37.6%
#s(literal 4 binary64)
Compiler

Compiled 194 to 142 computations (26.8% saved)

simplify291.0ms (2.9%)

Memory
-2.3MiB live, 270.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
cost-diff0
(/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))
cost-diff192
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))))
cost-diff704
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)))
cost-diff0
(/.f64 #s(literal -4 binary64) y)
cost-diff0
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))
cost-diff128
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
cost-diff0
(*.f64 #s(literal 4 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
cost-diff0
(fma.f64 y #s(literal 3/4 binary64) x)
cost-diff0
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff384
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64))
Rules
4 304×accelerator-lowering-fma.f32
4 304×accelerator-lowering-fma.f64
1 392×*-lowering-*.f32
1 392×*-lowering-*.f64
1 036×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022118
147117
2111117
3263117
4564107
51641107
63815107
76281107
86948107
97035107
107086107
117092107
127460107
137771107
147771107
157771107
167803107
177916107
0791697
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (/ 4 y) (- (+ (* y 3/4) x) z)) 1)
(/ 4 y)
4
y
(- (+ (* y 3/4) x) z)
(+ (* y 3/4) x)
3/4
x
z
1
4
(/ (* 4 x) y)
(* 4 x)
4
x
y
(neg (+ (* x (/ -4 y)) -4))
(+ (* x (/ -4 y)) -4)
x
(/ -4 y)
-4
y
(+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z))))
1
(/ 4 (/ y (- (+ (* y 3/4) x) z)))
4
(/ y (- (+ (* y 3/4) x) z))
y
(- (+ (* y 3/4) x) z)
(+ (* y 3/4) x)
3/4
x
z
Outputs
(+ (* (/ 4 y) (- (+ (* y 3/4) x) z)) 1)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
(- (+ (* y 3/4) x) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ (* y 3/4) x)
(fma.f64 y #s(literal 3/4 binary64) x)
3/4
#s(literal 3/4 binary64)
x
z
1
#s(literal 1 binary64)
4
#s(literal 4 binary64)
(/ (* 4 x) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
4
#s(literal 4 binary64)
x
y
(neg (+ (* x (/ -4 y)) -4))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ (* x (/ -4 y)) -4)
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))
x
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
y
(+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
1
#s(literal 1 binary64)
(/ 4 (/ y (- (+ (* y 3/4) x) z)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
4
#s(literal 4 binary64)
(/ y (- (+ (* y 3/4) x) z))
(/.f64 y (-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)))
y
(- (+ (* y 3/4) x) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ (* y 3/4) x)
(fma.f64 y #s(literal 3/4 binary64) x)
3/4
#s(literal 3/4 binary64)
x
z

localize116.0ms (1.2%)

Memory
-28.2MiB live, 148.0MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))))
accuracy99.9%
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
accuracy99.8%
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)))
accuracy99.8%
(/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))
accuracy100.0%
(/.f64 #s(literal -4 binary64) y)
accuracy100.0%
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
accuracy99.9%
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
accuracy100.0%
(*.f64 #s(literal 4 binary64) x)
accuracy100.0%
(fma.f64 y #s(literal 3/4 binary64) x)
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy99.9%
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
accuracy99.7%
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64))
Samples
56.0ms222×0valid
13.0ms17×1valid
4.0ms3valid
3.0ms2valid
1.0ms4valid
Compiler

Compiled 109 to 24 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-add: 38.0ms (63.8% of total)
ival-div: 10.0ms (16.8% of total)
ival-mult: 6.0ms (10.1% of total)
adjust: 1.0ms (1.7% of total)
ival-sub: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-0.9MiB live, 42.3MiB allocated
Counts
12 → 312
Calls
Call 1
Inputs
#<alt (+ (* (/ 4 y) (- (+ (* y 3/4) x) z)) 1)>
#<alt (/ 4 y)>
#<alt (- (+ (* y 3/4) x) z)>
#<alt (+ (* y 3/4) x)>
#<alt (/ (* 4 x) y)>
#<alt (* 4 x)>
#<alt (neg (+ (* x (/ -4 y)) -4))>
#<alt (+ (* x (/ -4 y)) -4)>
#<alt (/ -4 y)>
#<alt (/ 4 (/ y (- (+ (* y 3/4) x) z)))>
#<alt (+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z))))>
#<alt (/ y (- (+ (* y 3/4) x) z))>
Outputs
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (- x z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (* 3/4 y)>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* 3/4 y)>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (- (* 3/4 y) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt x>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt x>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (* 3/4 y)>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* 3/4 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* 3/4 y)>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt x>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<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 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* 4 (/ x y))>
#<alt (/ (- (* 4 y) (* -4 x)) y)>
#<alt (/ (- (* 4 y) (* -4 x)) y)>
#<alt (/ (- (* 4 y) (* -4 x)) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt -4>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (* -4 (/ x y))>
#<alt (* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))>
#<alt (* -4 (/ x y))>
#<alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* -4 (/ x y))>
#<alt (/ (+ (* -4 x) (* -4 y)) y)>
#<alt (/ (+ (* -4 x) (* -4 y)) y)>
#<alt (/ (+ (* -4 x) (* -4 y)) y)>
#<alt -4>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<alt -4>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<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) y))>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (- (* 3/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (+ x (* 3/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (/ y (- x z))>
#<alt (* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))>
#<alt (* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))>
#<alt (* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))>
#<alt 4/3>
#<alt (+ 4/3 (* -16/9 (/ (- x z) y)))>
#<alt (- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y)))>
#<alt (- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y))))>
#<alt 4/3>
#<alt (+ 4/3 (* -16/9 (/ (- x z) y)))>
#<alt (+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y)))>
#<alt (+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y)))>
#<alt (/ y (- (* 3/4 y) z))>
#<alt (+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z)))>
#<alt (+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x)>
#<alt (/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x)>
#<alt (/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x))>
#<alt (/ y (+ x (* 3/4 y)))>
#<alt (+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2)))>
#<alt (+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))>
#<alt (+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z))>
Calls

78 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (* 4 x) y)
1.0ms
x
@inf
(/ y (- (+ (* y 3/4) x) z))
1.0ms
x
@0
(/ (* 4 x) y)
0.0ms
y
@0
(/ (* 4 x) y)
0.0ms
z
@0
(/ y (- (+ (* y 3/4) x) z))

rewrite393.0ms (3.9%)

Memory
12.2MiB live, 647.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 254×*-lowering-*.f32
5 254×*-lowering-*.f64
4 580×/-lowering-/.f32
4 580×/-lowering-/.f64
3 520×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02287
114186
2115386
0826976
Stop Event
iter limit
node limit
Counts
12 → 508
Calls
Call 1
Inputs
(+ (* (/ 4 y) (- (+ (* y 3/4) x) z)) 1)
(/ 4 y)
(- (+ (* y 3/4) x) z)
(+ (* y 3/4) x)
(/ (* 4 x) y)
(* 4 x)
(neg (+ (* x (/ -4 y)) -4))
(+ (* x (/ -4 y)) -4)
(/ -4 y)
(/ 4 (/ y (- (+ (* y 3/4) x) z)))
(+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z))))
(/ y (- (+ (* y 3/4) x) z))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z z))))) (/.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) (/.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 4 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) (/.f64 #s(literal 4 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z z))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)))))
(*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(neg.f64 (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (*.f64 y #s(literal 1 binary64))))
(/.f64 (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64))
(/.f64 (neg.f64 y) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(/.f64 (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(pow.f64 (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z z)))) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))
(*.f64 (/.f64 y (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (/.f64 y (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))
(*.f64 (/.f64 y (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))

simplify399.0ms (4%)

Memory
25.4MiB live, 698.3MiB allocated
Algorithm
egg-herbie
Rules
10 810×accelerator-lowering-fma.f32
10 810×accelerator-lowering-fma.f64
5 816×*-lowering-*.f32
5 816×*-lowering-*.f64
3 318×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03373044
110022992
228472853
082922650
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(- x z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(* 3/4 y)
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(- (* 3/4 y) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(+ x (* 3/4 y))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(* -1 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
x
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(* 3/4 y)
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* 3/4 y)
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
x
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
x
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* 4 (/ x y))
(/ (- (* 4 y) (* -4 x)) y)
(/ (- (* 4 y) (* -4 x)) y)
(/ (- (* 4 y) (* -4 x)) y)
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
-4
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(* -4 (/ x y))
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))
(* -4 (/ x y))
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -4 (/ x y))
(/ (+ (* -4 x) (* -4 y)) y)
(/ (+ (* -4 x) (* -4 y)) y)
(/ (+ (* -4 x) (* -4 y)) y)
-4
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
-4
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(/ -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) y))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(* 4 (/ (- (* 3/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (+ x (* 3/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(/ y (- x z))
(* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))
(* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
(* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
4/3
(+ 4/3 (* -16/9 (/ (- x z) y)))
(- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y)))
(- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y))))
4/3
(+ 4/3 (* -16/9 (/ (- x z) y)))
(+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y)))
(+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y)))
(/ y (- (* 3/4 y) z))
(+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z)))
(+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))
(/ y x)
(/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x)
(/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x)
(/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x))
(/ y (+ x (* 3/4 y)))
(+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2)))
(+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z)
(* -1 (/ y z))
(* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z))
Outputs
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 (-.f64 x z) y) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 (-.f64 x z) y) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 (-.f64 x z) y) y))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 x (+.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) x) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))) x) (/.f64 #s(literal 4 binary64) y)))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 3 binary64)) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 3 binary64)) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 3 binary64)) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y))))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) z)) (neg.f64 z))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(- x z)
(-.f64 x z)
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(* 3/4 y)
(*.f64 y #s(literal 3/4 binary64))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)))
(* 3/4 y)
(*.f64 y #s(literal 3/4 binary64))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(neg.f64 (*.f64 y (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 x z) y))))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(neg.f64 (*.f64 y (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 x z) y))))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(neg.f64 (*.f64 y (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 x z) y))))
(- (* 3/4 y) z)
(fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x) x)
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x) x)
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x) x)
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x))))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x))))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x))))
(+ x (* 3/4 y))
(fma.f64 y #s(literal 3/4 binary64) x)
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(-.f64 (*.f64 z (fma.f64 #s(literal 3/4 binary64) (/.f64 y z) (/.f64 x z))) z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(-.f64 (*.f64 z (fma.f64 #s(literal 3/4 binary64) (/.f64 y z) (/.f64 x z))) z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(-.f64 (*.f64 z (fma.f64 #s(literal 3/4 binary64) (/.f64 y z) (/.f64 x z))) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(-.f64 (*.f64 z (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(-.f64 (*.f64 z (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
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(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 3 binary64)) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 3 binary64)) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 3 binary64)) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y))))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) z)) (neg.f64 z))
(/ y (- x z))
(/.f64 y (-.f64 x z))
(* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))
(fma.f64 y (/.f64 (*.f64 y #s(literal -3/4 binary64)) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 y (-.f64 x z)))
(* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
(fma.f64 (fma.f64 y (/.f64 #s(literal 9/16 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal -3/4 binary64) (*.f64 (-.f64 x z) (-.f64 x z)))) (*.f64 y y) (/.f64 y (-.f64 x z)))
(* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
(fma.f64 (fma.f64 y (fma.f64 #s(literal -27/64 binary64) (/.f64 y (pow.f64 (-.f64 x z) #s(literal 4 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))))) (/.f64 #s(literal -3/4 binary64) (*.f64 (-.f64 x z) (-.f64 x z)))) (*.f64 y y) (/.f64 y (-.f64 x z)))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* -16/9 (/ (- x z) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal -16/9 binary64) #s(literal 4/3 binary64))
(- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y)))
(+.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (-.f64 x z) #s(literal -16/9 binary64) (*.f64 #s(literal 64/27 binary64) (/.f64 (*.f64 (-.f64 x z) (-.f64 x z)) y))) y))
(- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y))))
(+.f64 #s(literal 4/3 binary64) (fma.f64 #s(literal -256/81 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 (-.f64 x z) #s(literal -16/9 binary64) (*.f64 #s(literal 64/27 binary64) (/.f64 (*.f64 (-.f64 x z) (-.f64 x z)) y))) y)))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* -16/9 (/ (- x z) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal -16/9 binary64) #s(literal 4/3 binary64))
(+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y)))
(+.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (-.f64 x z) #s(literal -16/9 binary64) (*.f64 #s(literal 64/27 binary64) (/.f64 (*.f64 (-.f64 x z) (-.f64 x z)) y))) y))
(+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y)))
(+.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -256/81 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) y) (*.f64 (*.f64 #s(literal 64/27 binary64) (-.f64 x z)) (-.f64 x z))) y) (*.f64 (-.f64 x z) #s(literal -16/9 binary64))) y))
(/ y (- (* 3/4 y) z))
(/.f64 y (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)))
(+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z)))
(-.f64 (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))) (/.f64 (*.f64 x y) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)))))
(+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))
(fma.f64 x (*.f64 (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)))) (+.f64 (/.f64 x (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))) #s(literal -1 binary64))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))
(fma.f64 x (fma.f64 x (neg.f64 (*.f64 x (/.f64 y (pow.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) #s(literal 4 binary64))))) (*.f64 (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)))) (+.f64 (/.f64 x (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))) #s(literal -1 binary64)))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x) (neg.f64 y) y) x)
(/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x)
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x)) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))) y) x)
(/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x)
(/.f64 (+.f64 y (/.f64 (neg.f64 (fma.f64 y (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (/.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x)) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))))) x))) x)) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x) (neg.f64 y) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x))
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x)) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x))
(/.f64 (+.f64 y (/.f64 (neg.f64 (fma.f64 y (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (/.f64 (*.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x)) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z))))) x))) x)) x)
(/ y (+ x (* 3/4 y)))
(/.f64 y (fma.f64 y #s(literal 3/4 binary64) x))
(+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2)))
(*.f64 (+.f64 (/.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) #s(literal 1 binary64)) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x)))
(+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))
(fma.f64 z (*.f64 (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (+.f64 (/.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) #s(literal 1 binary64))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x)))
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))
(fma.f64 z (fma.f64 z (/.f64 (*.f64 z y) (pow.f64 (fma.f64 y #s(literal 3/4 binary64) x) #s(literal 4 binary64))) (*.f64 (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (+.f64 (/.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x)))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z)
(neg.f64 (/.f64 (fma.f64 y (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y) z))
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z)
(/.f64 (fma.f64 y (*.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) y) (neg.f64 z))
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z)
(/.f64 (fma.f64 y (-.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z (neg.f64 z)))) (*.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) (neg.f64 y)) z)
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z))
(neg.f64 (/.f64 (fma.f64 y (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z))
(/.f64 (fma.f64 y (*.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) y) (neg.f64 z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z))
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 y (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (*.f64 y (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) z))) z))) z) y) z)

eval164.0ms (1.6%)

Memory
-7.0MiB live, 252.2MiB allocated
Compiler

Compiled 20 777 to 1 917 computations (90.8% saved)

prune95.0ms (1%)

Memory
-3.6MiB live, 245.7MiB allocated
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New9545959
Fresh134
Picked325
Done000
Total95810968
Accuracy
100.0%
Counts
968 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.2%
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
72.7%
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
65.8%
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
63.2%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
37.1%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
42.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x)))
99.5%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)))
37.0%
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
30.2%
(*.f64 z (/.f64 #s(literal -4 binary64) y))
37.6%
#s(literal 4 binary64)
Compiler

Compiled 176 to 130 computations (26.1% saved)

simplify348.0ms (3.5%)

Memory
-2.5MiB live, 230.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x)))
cost-diff384
(/.f64 #s(literal 4 binary64) (/.f64 y x))
cost-diff0
(-.f64 x z)
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 x z))
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
cost-diff0
(/.f64 #s(literal -4 binary64) y)
cost-diff0
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
cost-diff0
(/.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 z (/.f64 #s(literal -4 binary64) y))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))
cost-diff192
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)
cost-diff704
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y))
Rules
4 352×accelerator-lowering-fma.f32
4 352×accelerator-lowering-fma.f64
1 440×*-lowering-*.f32
1 440×*-lowering-*.f64
802×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022127
146121
279121
3205121
4452121
5804115
61538115
72715115
84015115
94408115
104522115
114539115
124540115
134540115
144696115
154772115
164772115
174772115
184772115
194772115
04772108
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ 1 (/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y)))
1
(/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y))
4
(* (/ 1 (+ (* y 3/4) (- x z))) y)
(/ 1 (+ (* y 3/4) (- x z)))
(+ (* y 3/4) (- x z))
y
3/4
(- x z)
x
z
(* z (/ -4 y))
z
(/ -4 y)
-4
y
(+ (* z (/ -4 y)) 4)
z
(/ -4 y)
-4
y
4
(/ (* 4 (- x z)) y)
(* 4 (- x z))
4
(- x z)
x
z
y
(+ 1 (/ 4 (/ y x)))
1
(/ 4 (/ y x))
4
(/ y x)
y
x
Outputs
(+ 1 (/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
1
#s(literal 1 binary64)
(/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
4
#s(literal 4 binary64)
(* (/ 1 (+ (* y 3/4) (- x z))) y)
(/.f64 y (-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)))
(/ 1 (+ (* y 3/4) (- x z)))
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)))
(+ (* y 3/4) (- x z))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
y
3/4
#s(literal 3/4 binary64)
(- x z)
(-.f64 x z)
x
z
(* z (/ -4 y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
z
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
y
(+ (* z (/ -4 y)) 4)
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
z
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
y
4
#s(literal 4 binary64)
(/ (* 4 (- x z)) y)
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(* 4 (- x z))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
4
#s(literal 4 binary64)
(- x z)
(-.f64 x z)
x
z
y
(+ 1 (/ 4 (/ y x)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ 4 (/ y x))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
4
#s(literal 4 binary64)
(/ y x)
(/.f64 y x)
y
x

localize79.0ms (0.8%)

Memory
5.3MiB live, 159.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x)))
accuracy98.7%
(/.f64 #s(literal 4 binary64) (/.f64 y x))
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 x z))
accuracy99.6%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
accuracy100.0%
(/.f64 #s(literal -4 binary64) y)
accuracy99.8%
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
accuracy100.0%
(/.f64 #s(literal -4 binary64) y)
accuracy99.7%
(*.f64 z (/.f64 #s(literal -4 binary64) y))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)))
accuracy99.8%
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)
Samples
39.0ms240×0valid
3.0ms11×1valid
1.0ms2valid
1.0ms4valid
0.0ms3valid
Compiler

Compiled 123 to 24 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 10.0ms (41.9% of total)
ival-mult: 7.0ms (29.3% of total)
ival-add: 4.0ms (16.7% of total)
adjust: 1.0ms (4.2% of total)
ival-sub: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory
4.9MiB live, 42.6MiB allocated
Counts
13 → 360
Calls
Call 1
Inputs
#<alt (/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y))>
#<alt (* (/ 1 (+ (* y 3/4) (- x z))) y)>
#<alt (+ 1 (/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y)))>
#<alt (/ 1 (+ (* y 3/4) (- x z)))>
#<alt (* z (/ -4 y))>
#<alt (/ -4 y)>
#<alt (+ (* z (/ -4 y)) 4)>
#<alt (/ (* 4 (- x z)) y)>
#<alt (* 4 (- x z))>
#<alt (- x z)>
#<alt (/ 4 (/ y x))>
#<alt (+ 1 (/ 4 (/ y x)))>
#<alt (/ y x)>
Outputs
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (- (* 3/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (+ x (* 3/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (/ y (- x z))>
#<alt (* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))>
#<alt (* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))>
#<alt (* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))>
#<alt 4/3>
#<alt (+ 4/3 (* -16/9 (/ (- x z) y)))>
#<alt (- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y)))>
#<alt (- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y))))>
#<alt 4/3>
#<alt (+ 4/3 (* -16/9 (/ (- x z) y)))>
#<alt (+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y)))>
#<alt (+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y)))>
#<alt (/ y (- (* 3/4 y) z))>
#<alt (+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z)))>
#<alt (+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x)>
#<alt (/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x)>
#<alt (/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x))>
#<alt (/ y (+ x (* 3/4 y)))>
#<alt (+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2)))>
#<alt (+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))>
#<alt (+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (/ 1 (- x z))>
#<alt (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))>
#<alt (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))>
#<alt (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))>
#<alt (/ 4/3 y)>
#<alt (/ (+ 4/3 (* -16/9 (/ (- x z) y))) y)>
#<alt (/ (- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y))) y)>
#<alt (/ (- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y)))) y)>
#<alt (/ 4/3 y)>
#<alt (* -1 (/ (- (* 16/9 (/ (- x z) y)) 4/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 64/27 (/ (pow (- x z) 2) y)) (* 16/9 (- x z))) y)) 4/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 256/81 (/ (pow (- x z) 3) y)) (* 64/27 (pow (- x z) 2))) y)) (* 16/9 (- x z))) y)) 4/3) y))>
#<alt (/ 1 (- (* 3/4 y) z))>
#<alt (+ (* -1 (/ x (pow (- (* 3/4 y) z) 2))) (/ 1 (- (* 3/4 y) z)))>
#<alt (+ (* x (- (/ x (pow (- (* 3/4 y) z) 3)) (/ 1 (pow (- (* 3/4 y) z) 2)))) (/ 1 (- (* 3/4 y) z)))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (* 3/4 y) z) 4))) (/ 1 (pow (- (* 3/4 y) z) 3)))) (/ 1 (pow (- (* 3/4 y) z) 2)))) (/ 1 (- (* 3/4 y) z)))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (/ z x)) (* 3/4 (/ y x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) (pow x 2))) (/ z x))) (* 3/4 (/ y x))) x)>
#<alt (/ (- (+ 1 (+ (/ z x) (/ (* (- z (* 3/4 y)) (pow (- (* 3/4 y) z) 2)) (pow x 3)))) (+ (* 3/4 (/ y x)) (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) (pow x 2)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (- z (* 3/4 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) x))) (* 3/4 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* 3/4 y)) (pow (- (* 3/4 y) z) 2)) x)) (* -1 (* (- z (* 3/4 y)) (- (* 3/4 y) z)))) x))) (* 3/4 y)) x)) 1) x))>
#<alt (/ 1 (+ x (* 3/4 y)))>
#<alt (+ (/ 1 (+ x (* 3/4 y))) (/ z (pow (+ x (* 3/4 y)) 2)))>
#<alt (+ (* z (+ (/ 1 (pow (+ x (* 3/4 y)) 2)) (/ z (pow (+ x (* 3/4 y)) 3)))) (/ 1 (+ x (* 3/4 y))))>
#<alt (+ (* z (+ (* z (+ (/ 1 (pow (+ x (* 3/4 y)) 3)) (/ z (pow (+ x (* 3/4 y)) 4)))) (/ 1 (pow (+ x (* 3/4 y)) 2)))) (/ 1 (+ x (* 3/4 y))))>
#<alt (/ -1 z)>
#<alt (/ (- (* -1 (/ (+ x (* 3/4 y)) z)) 1) z)>
#<alt (/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow z 2))) (+ 1 (+ (* 3/4 (/ y z)) (/ x z)))) z)>
#<alt (/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 3) (pow z 3))) (+ 1 (+ (* 3/4 (/ y z)) (+ (/ x z) (/ (pow (+ x (* 3/4 y)) 2) (pow z 2)))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (+ (* 3/4 (/ y z)) (/ x z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 2) z)) (+ x (* 3/4 y))) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 3/4 y)) 3) z) (* -1 (pow (+ x (* 3/4 y)) 2))) z)) (+ x (* 3/4 y))) z))) z))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ z y))>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* -4 z)>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* 4 x)>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (* -4 z)>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* -4 z)>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (/ (+ y (* 4 x)) y)>
#<alt (/ (+ y (* 4 x)) y)>
#<alt (/ (+ y (* 4 x)) y)>
#<alt 1>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (/ 1 x) (* 4 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 4 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (/ 1 x)))>
#<alt (* x (+ (* 4 (/ 1 y)) (/ 1 x)))>
#<alt (* x (+ (* 4 (/ 1 y)) (/ 1 x)))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
Calls

90 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y))
1.0ms
z
@inf
(- x z)
1.0ms
y
@inf
(/ (* 4 (- x z)) y)
0.0ms
y
@0
(* z (/ -4 y))
0.0ms
y
@0
(/ (* 4 (- x z)) y)

rewrite376.0ms (3.8%)

Memory
-4.3MiB live, 487.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 938×/-lowering-/.f32
4 938×/-lowering-/.f64
4 608×*-lowering-*.f32
4 608×*-lowering-*.f64
4 156×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02293
114687
2118787
0837080
Stop Event
iter limit
node limit
Counts
13 → 368
Calls
Call 1
Inputs
(/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y))
(* (/ 1 (+ (* y 3/4) (- x z))) y)
(+ 1 (/ 4 (* (/ 1 (+ (* y 3/4) (- x z))) y)))
(/ 1 (+ (* y 3/4) (- x z)))
(* z (/ -4 y))
(/ -4 y)
(+ (* z (/ -4 y)) 4)
(/ (* 4 (- x z)) y)
(* 4 (- x z))
(- x z)
(/ 4 (/ y x))
(+ 1 (/ 4 (/ y x)))
(/ y x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))
(/.f64 #s(literal 4 binary64) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(/.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 #s(literal 4 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))))
(/.f64 #s(literal -4 binary64) (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))))
(/.f64 (/.f64 #s(literal -4 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)
(/.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) y)
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))) (neg.f64 (neg.f64 y)))
(pow.f64 (/.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))
(*.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 x z) (-.f64 (-.f64 x z) (*.f64 y #s(literal 3/4 binary64))) (*.f64 (*.f64 y y) #s(literal 9/16 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (*.f64 (-.f64 x z) (-.f64 x z))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) x) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 y #s(literal -1 binary64))))
(/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))
(/.f64 (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)))
(/.f64 (neg.f64 y) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(/.f64 (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(/.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))))
(pow.f64 (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(*.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64))
(*.f64 (/.f64 y (fma.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64)))) (fma.f64 (-.f64 x z) (-.f64 (-.f64 x z) (*.f64 y #s(literal 3/4 binary64))) (*.f64 (*.f64 y y) #s(literal 9/16 binary64))))
(*.f64 (/.f64 y (fma.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) (-.f64 (-.f64 x z) (*.f64 y #s(literal 3/4 binary64))) (*.f64 (*.f64 y y) #s(literal 9/16 binary64))))))
(*.f64 (/.f64 y (-.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (*.f64 (-.f64 x z) (-.f64 x z)))) (+.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) x) z))
(*.f64 (/.f64 y (-.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) x) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) (-.f64 (-.f64 x z) (*.f64 y #s(literal 3/4 binary64))) (*.f64 (*.f64 y y) #s(literal 9/16 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) x) z))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y)) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(fma.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (neg.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 x z) (-.f64 (-.f64 x z) (*.f64 y #s(literal 3/4 binary64))) (*.f64 (*.f64 y y) #s(literal 9/16 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (*.f64 (-.f64 x z) (-.f64 x z))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) x) z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)))) (fma.f64 #s(literal 64 binary64) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y))) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y))) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y) (/.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) y)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y))))
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(fma.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 x (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 (neg.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x y))))
(/.f64 y x)
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))

simplify479.0ms (4.8%)

Memory
-4.1MiB live, 716.1MiB allocated
Algorithm
egg-herbie
Rules
8 514×accelerator-lowering-fma.f32
8 514×accelerator-lowering-fma.f64
5 688×*-lowering-*.f32
5 688×*-lowering-*.f64
4 052×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04893664
114783584
242033493
086083281
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* 4 (/ (- x z) y))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(* 4 (/ (- (* 3/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (+ x (* 3/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(/ y (- x z))
(* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))
(* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
(* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
4/3
(+ 4/3 (* -16/9 (/ (- x z) y)))
(- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y)))
(- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y))))
4/3
(+ 4/3 (* -16/9 (/ (- x z) y)))
(+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y)))
(+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y)))
(/ y (- (* 3/4 y) z))
(+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z)))
(+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))
(/ y x)
(/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x)
(/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x)
(/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x))
(/ y (+ x (* 3/4 y)))
(+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2)))
(+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z)
(* -1 (/ y z))
(* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z))
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(/ 1 (- x z))
(+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))
(+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))
(+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))
(/ 4/3 y)
(/ (+ 4/3 (* -16/9 (/ (- x z) y))) y)
(/ (- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y))) y)
(/ (- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y)))) y)
(/ 4/3 y)
(* -1 (/ (- (* 16/9 (/ (- x z) y)) 4/3) y))
(* -1 (/ (- (* -1 (/ (- (* 64/27 (/ (pow (- x z) 2) y)) (* 16/9 (- x z))) y)) 4/3) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 256/81 (/ (pow (- x z) 3) y)) (* 64/27 (pow (- x z) 2))) y)) (* 16/9 (- x z))) y)) 4/3) y))
(/ 1 (- (* 3/4 y) z))
(+ (* -1 (/ x (pow (- (* 3/4 y) z) 2))) (/ 1 (- (* 3/4 y) z)))
(+ (* x (- (/ x (pow (- (* 3/4 y) z) 3)) (/ 1 (pow (- (* 3/4 y) z) 2)))) (/ 1 (- (* 3/4 y) z)))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (* 3/4 y) z) 4))) (/ 1 (pow (- (* 3/4 y) z) 3)))) (/ 1 (pow (- (* 3/4 y) z) 2)))) (/ 1 (- (* 3/4 y) z)))
(/ 1 x)
(/ (- (+ 1 (/ z x)) (* 3/4 (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) (pow x 2))) (/ z x))) (* 3/4 (/ y x))) x)
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (* 3/4 y)) (pow (- (* 3/4 y) z) 2)) (pow x 3)))) (+ (* 3/4 (/ y x)) (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) (pow x 2)))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- z (* 3/4 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (* 3/4 y)) (- (* 3/4 y) z)) x))) (* 3/4 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* 3/4 y)) (pow (- (* 3/4 y) z) 2)) x)) (* -1 (* (- z (* 3/4 y)) (- (* 3/4 y) z)))) x))) (* 3/4 y)) x)) 1) x))
(/ 1 (+ x (* 3/4 y)))
(+ (/ 1 (+ x (* 3/4 y))) (/ z (pow (+ x (* 3/4 y)) 2)))
(+ (* z (+ (/ 1 (pow (+ x (* 3/4 y)) 2)) (/ z (pow (+ x (* 3/4 y)) 3)))) (/ 1 (+ x (* 3/4 y))))
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (* 3/4 y)) 3)) (/ z (pow (+ x (* 3/4 y)) 4)))) (/ 1 (pow (+ x (* 3/4 y)) 2)))) (/ 1 (+ x (* 3/4 y))))
(/ -1 z)
(/ (- (* -1 (/ (+ x (* 3/4 y)) z)) 1) z)
(/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 2) (pow z 2))) (+ 1 (+ (* 3/4 (/ y z)) (/ x z)))) z)
(/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 3) (pow z 3))) (+ 1 (+ (* 3/4 (/ y z)) (+ (/ x z) (/ (pow (+ x (* 3/4 y)) 2) (pow z 2)))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (+ (* 3/4 (/ y z)) (/ x z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* 3/4 y)) 2) z)) (+ x (* 3/4 y))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 3/4 y)) 3) z) (* -1 (pow (+ x (* 3/4 y)) 2))) z)) (+ x (* 3/4 y))) z))) z))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(* -4 (/ z y))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ z y))
(/ (+ (* -4 z) (* 4 y)) y)
(/ (+ (* -4 z) (* 4 y)) y)
(/ (+ (* -4 z) (* 4 y)) y)
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* -4 z)
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ z x))))
(* x (+ 4 (* -4 (/ z x))))
(* x (+ 4 (* -4 (/ z x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* 4 x)
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(* -4 z)
(* z (- (* 4 (/ x z)) 4))
(* z (- (* 4 (/ x z)) 4))
(* z (- (* 4 (/ x z)) 4))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ (+ y (* 4 x)) y)
(/ (+ y (* 4 x)) y)
(/ (+ y (* 4 x)) y)
1
(+ 1 (* 4 (/ x y)))
(+ 1 (* 4 (/ x y)))
(+ 1 (* 4 (/ x y)))
1
(+ 1 (* 4 (/ x y)))
(+ 1 (* 4 (/ x y)))
(+ 1 (* 4 (/ x y)))
1
(+ 1 (* 4 (/ x y)))
(+ 1 (* 4 (/ x y)))
(+ 1 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (/ 1 x) (* 4 (/ 1 y))))
(* x (+ (/ 1 x) (* 4 (/ 1 y))))
(* x (+ (/ 1 x) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (/ 1 x)))
(* x (+ (* 4 (/ 1 y)) (/ 1 x)))
(* x (+ (* 4 (/ 1 y)) (/ 1 x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y)
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ (- (* 3/4 y) z) y))
(fma.f64 #s(literal 4 binary64) (/.f64 z (neg.f64 y)) #s(literal 3 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) (-.f64 #s(literal 3/4 binary64) (/.f64 z y))))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) (-.f64 #s(literal 3/4 binary64) (/.f64 z y))))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) (-.f64 #s(literal 3/4 binary64) (/.f64 z y))))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y)))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y)))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y)))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 z y)) x) (/.f64 #s(literal 4 binary64) y)))
(* 4 (/ (+ x (* 3/4 y)) y))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) x)) y)
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y)))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y)))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 x y)) z) (/.f64 #s(literal -4 binary64) y)))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal -3 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal -3 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal -4 binary64) #s(literal -3 binary64)) z)) (neg.f64 z))
(/ y (- x z))
(/.f64 y (-.f64 x z))
(* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))
(fma.f64 y (/.f64 (*.f64 y #s(literal -3/4 binary64)) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 y (-.f64 x z)))
(* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
(fma.f64 (fma.f64 y (/.f64 #s(literal 9/16 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal -3/4 binary64) (*.f64 (-.f64 x z) (-.f64 x z)))) (*.f64 y y) (/.f64 y (-.f64 x z)))
(* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))
(fma.f64 (fma.f64 y (fma.f64 #s(literal -27/64 binary64) (/.f64 y (pow.f64 (-.f64 x z) #s(literal 4 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))))) (/.f64 #s(literal -3/4 binary64) (*.f64 (-.f64 x z) (-.f64 x z)))) (*.f64 y y) (/.f64 y (-.f64 x z)))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* -16/9 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal -16/9 binary64) y) #s(literal 4/3 binary64))
(- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y)))
(+.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (-.f64 x z) #s(literal -16/9 binary64) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (/.f64 #s(literal 64/27 binary64) y))) y))
(- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y))))
(+.f64 #s(literal 4/3 binary64) (fma.f64 #s(literal -256/81 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 (-.f64 x z) #s(literal -16/9 binary64) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (/.f64 #s(literal 64/27 binary64) y))) y)))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* -16/9 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal -16/9 binary64) y) #s(literal 4/3 binary64))
(+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y)))
(+.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (-.f64 x z) #s(literal -16/9 binary64) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (/.f64 #s(literal 64/27 binary64) y))) y))
(+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y)))
(+.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -256/81 binary64) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (/.f64 (-.f64 x z) y)) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) #s(literal 64/27 binary64)))) y) (*.f64 (-.f64 x z) #s(literal -16/9 binary64))) y))
(/ y (- (* 3/4 y) z))
(/.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))
(+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z)))
(-.f64 (/.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) (/.f64 (*.f64 x y) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))
(+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))
(fma.f64 x (fma.f64 x (/.f64 y (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))) (/.f64 y (neg.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))) (/.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 y (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))) (/.f64 (*.f64 x y) (pow.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) #s(literal 4 binary64)))) (/.f64 y (neg.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))) (/.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x)
(/.f64 (-.f64 y (/.f64 (*.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x)) x)
(/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x)
(/.f64 (+.f64 y (/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) x)) x)
(/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x)
(/.f64 (+.f64 y (fma.f64 y (/.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) x))) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x))
(/.f64 (-.f64 y (/.f64 (*.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x)) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x))
(/.f64 (+.f64 y (/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))) x)) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x))
(/.f64 (+.f64 y (/.f64 (neg.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (/.f64 (*.f64 y (fma.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (/.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z)) x) (neg.f64 (*.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) (-.f64 (*.f64 y #s(literal 3/4 binary64)) z))))) x))) x)) x)
(/ y (+ x (* 3/4 y)))
(/.f64 y (fma.f64 y #s(literal 3/4 binary64) x))
(+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2)))
(fma.f64 z (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x)))
(+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))
(fma.f64 z (fma.f64 z (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x)))
(+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 y (pow.f64 (fma.f64 y #s(literal 3/4 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))) (/.f64 y (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (/.f64 y (fma.f64 y #s(literal 3/4 binary64) x)))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z)
(neg.f64 (/.f64 (fma.f64 y (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) y) z))
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z)
(/.f64 (-.f64 (*.f64 y (neg.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (fma.f64 y #s(literal 3/4 binary64) x)) z))) y) z)
(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z)
(/.f64 (-.f64 (*.f64 y (neg.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (fma.f64 y #s(literal 3/4 binary64) x)) z))) (fma.f64 y (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 z (*.f64 z z))) y)) z)
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
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(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y)))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y)))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 z (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y)))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -4 binary64) z)) (neg.f64 z))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -4 binary64) z)) (neg.f64 z))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -4 binary64) z)) (neg.f64 z))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(/ (+ (* -4 z) (* 4 y)) y)
(/.f64 (fma.f64 #s(literal 4 binary64) y (*.f64 z #s(literal -4 binary64))) y)
(/ (+ (* -4 z) (* 4 y)) y)
(/.f64 (fma.f64 #s(literal 4 binary64) y (*.f64 z #s(literal -4 binary64))) y)
(/ (+ (* -4 z) (* 4 y)) y)
(/.f64 (fma.f64 #s(literal 4 binary64) y (*.f64 z #s(literal -4 binary64))) y)
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(+ 4 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (/.f64 #s(literal 4 binary64) y)))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (/.f64 #s(literal 4 binary64) y)))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (/.f64 #s(literal 4 binary64) y)))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (neg.f64 (/.f64 #s(literal -4 binary64) y))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (neg.f64 (/.f64 #s(literal -4 binary64) y))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) (*.f64 x y)) (neg.f64 (/.f64 #s(literal -4 binary64) y))))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal -4 binary64) y)))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal -4 binary64) y)))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal -4 binary64) y)))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal 4 binary64) y))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal 4 binary64) y))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal 4 binary64) y))))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ z x))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) x) #s(literal 4 binary64)))
(* x (+ 4 (* -4 (/ z x))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) x) #s(literal 4 binary64)))
(* x (+ 4 (* -4 (/ z x))))
(*.f64 x (fma.f64 z (/.f64 #s(literal -4 binary64) x) #s(literal 4 binary64)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ z x)) 4)))
(neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 z x) #s(literal -4 binary64))))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 z x) #s(literal -4 binary64))))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 z x) #s(literal -4 binary64))))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* z (- (* 4 (/ x z)) 4))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -4 binary64)))
(* z (- (* 4 (/ x z)) 4))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -4 binary64)))
(* z (- (* 4 (/ x z)) 4))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -4 binary64)))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal 4 binary64)) (neg.f64 z))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal 4 binary64)) (neg.f64 z))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal 4 binary64)) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x (*.f64 (/.f64 z x) x))
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x (*.f64 (/.f64 z x) x))
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x (*.f64 (/.f64 z x) x))
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x (*.f64 (/.f64 z x) x))
(* -1 (* x (- (/ z x) 1)))
(-.f64 x (*.f64 (/.f64 z x) x))
(* -1 (* x (- (/ z x) 1)))
(-.f64 x (*.f64 (/.f64 z x) x))
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* z (- (/ x z) 1))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* z (- (/ x z) 1))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* z (- (/ x z) 1))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ (+ y (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y)
(/ (+ y (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y)
(/ (+ y (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (/ 1 x) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 y)) (/ 1 x)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(* x (+ (* 4 (/ 1 y)) (/ 1 x)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(* x (+ (* 4 (/ 1 y)) (/ 1 x)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

eval121.0ms (1.2%)

Memory
24.0MiB live, 227.6MiB allocated
Compiler

Compiled 12 723 to 1 723 computations (86.5% saved)

prune212.0ms (2.1%)

Memory
-22.1MiB live, 174.4MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New8044808
Fresh123
Picked235
Done022
Total80711818
Accuracy
100.0%
Counts
818 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
65.8%
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
63.2%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
37.1%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
30.3%
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
42.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x)))
42.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
37.0%
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
63.4%
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
37.6%
#s(literal 4 binary64)
8.2%
#s(literal 1 binary64)
Compiler

Compiled 143 to 108 computations (24.5% saved)

simplify165.0ms (1.7%)

Memory
3.1MiB live, 80.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(-.f64 x z)
cost-diff0
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
cost-diff0
(*.f64 y #s(literal -1/4 binary64))
cost-diff0
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
Rules
960×accelerator-lowering-fma.f32
960×accelerator-lowering-fma.f64
576×*-lowering-*.f32
576×*-lowering-*.f64
334×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01353
12753
24353
36953
412353
519453
631753
753053
887953
9159353
10190353
11206753
12212953
13218653
14254953
15254953
0254952
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (/ 4 y) x) 4)
(/ 4 y)
4
y
x
1
(* (/ 4 y) x)
(/ 4 y)
4
y
x
(/ z (* y -1/4))
z
(* y -1/4)
y
-1/4
(* (- x z) (/ 4 y))
(- x z)
x
z
(/ 4 y)
4
y
Outputs
(+ (* (/ 4 y) x) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
x
1
#s(literal 1 binary64)
(* (/ 4 y) x)
(/.f64 x (*.f64 y #s(literal 1/4 binary64)))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
x
(/ z (* y -1/4))
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
z
(* y -1/4)
(*.f64 y #s(literal -1/4 binary64))
y
-1/4
#s(literal -1/4 binary64)
(* (- x z) (/ 4 y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(- x z)
(-.f64 x z)
x
z
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y

localize147.0ms (1.5%)

Memory
4.2MiB live, 84.2MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy100.0%
(-.f64 x z)
accuracy99.7%
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
accuracy100.0%
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
accuracy100.0%
(*.f64 y #s(literal -1/4 binary64))
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy99.7%
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy99.9%
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
Samples
78.0ms256×0valid
Compiler

Compiled 54 to 15 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36% of total)
ival-mult: 4.0ms (36% of total)
ival-sub: 1.0ms (9% of total)
ival-add: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#<alt (+ (* (/ 4 y) x) 4)>
#<alt (/ 4 y)>
#<alt (* (/ 4 y) x)>
#<alt (/ z (* y -1/4))>
#<alt (* y -1/4)>
#<alt (* (- x z) (/ 4 y))>
#<alt (- x z)>
Outputs
#<alt (* 4 (/ x y))>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<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 y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
Calls

39 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(* y -1/4)
0.0ms
y
@inf
(* y -1/4)
0.0ms
y
@0
(* y -1/4)
0.0ms
y
@0
(+ (* (/ 4 y) x) 4)
0.0ms
y
@inf
(+ (* (/ 4 y) x) 4)

rewrite557.0ms (5.6%)

Memory
-12.7MiB live, 314.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 724×*-lowering-*.f32
4 724×*-lowering-*.f64
4 180×accelerator-lowering-fma.f32
4 180×accelerator-lowering-fma.f64
2 594×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
16633
248133
3580333
0861832
Stop Event
iter limit
node limit
Counts
7 → 556
Calls
Call 1
Inputs
(+ (* (/ 4 y) x) 4)
(/ 4 y)
(* (/ 4 y) x)
(/ z (* y -1/4))
(* y -1/4)
(* (- x z) (/ 4 y))
(- x z)
Outputs
(+.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (*.f64 y y))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))
(fma.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(fma.f64 #s(literal -4 binary64) (/.f64 x (neg.f64 y)) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal 4 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y) #s(literal 4 binary64))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1/4 binary64)) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 y y)) (/.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal -4 binary64) #s(literal 4 binary64))
(fma.f64 (/.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal -64 binary64))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) (fma.f64 x (/.f64 #s(literal 16 binary64) y) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (/.f64 x y))) #s(literal 4 binary64))
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (neg.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64)) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y)) (-.f64 #s(literal 16 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)))))
(/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (neg.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -16 binary64))) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 262144 binary64) (*.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 262144 binary64)) (*.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 4096 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (*.f64 y (*.f64 y y)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -4096 binary64)) (*.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal -64 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -4096 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 #s(literal 16 binary64) (*.f64 x x)) #s(literal 256 binary64)))))
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(*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (+.f64 x z)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(*.f64 (*.f64 (neg.f64 (+.f64 x z)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (*.f64 (-.f64 x z) (+.f64 x z)))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 z (-.f64 z x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (*.f64 (-.f64 x z) (+.f64 x z))) (-.f64 x z))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (+.f64 x z)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 z (+.f64 x z)) (-.f64 (*.f64 z (+.f64 x z)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z))))) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z))))

simplify292.0ms (2.9%)

Memory
2.0MiB live, 317.8MiB allocated
Algorithm
egg-herbie
Rules
4 780×accelerator-lowering-fma.f32
4 780×accelerator-lowering-fma.f64
3 220×*-lowering-*.f32
3 220×*-lowering-*.f64
1 462×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065879
1186879
2516759
31601759
43712759
55895759
67643759
77979759
08001741
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* 4 (/ x y))
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(/ 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 y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Outputs
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ (+ (* 4 x) (* 4 y)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ (+ (* 4 x) (* 4 y)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ (+ (* 4 x) (* 4 y)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)

eval308.0ms (3.1%)

Memory
25.0MiB live, 215.7MiB allocated
Compiler

Compiled 11 330 to 1 321 computations (88.3% saved)

prune372.0ms (3.7%)

Memory
-1.8MiB live, 217.7MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New7771778
Fresh101
Picked055
Done055
Total77811789
Accuracy
100.0%
Counts
789 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
65.8%
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
63.2%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
37.1%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
30.3%
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
63.3%
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y))
42.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x)))
37.0%
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
63.4%
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
37.6%
#s(literal 4 binary64)
8.2%
#s(literal 1 binary64)
Compiler

Compiled 249 to 129 computations (48.2% saved)

regimes35.0ms (0.4%)

Memory
-32.1MiB live, 83.4MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z))) y))
Outputs
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64))
Calls

5 calls:

8.0ms
z
8.0ms
x
7.0ms
y
6.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
6.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
99.7%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes24.0ms (0.2%)

Memory
35.3MiB live, 73.8MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x)))
Outputs
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Calls

5 calls:

6.0ms
z
5.0ms
y
4.0ms
x
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
4.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
89.9%3x
88.7%3y
90.8%3z
98.6%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
98.6%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes10.0ms (0.1%)

Memory
-19.1MiB live, 23.6MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Outputs
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Calls

2 calls:

6.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
4.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
98.6%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
98.6%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

Memory
-14.9MiB live, 24.0MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
Outputs
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
Calls

2 calls:

4.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
98.5%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
98.5%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes11.0ms (0.1%)

Memory
34.9MiB live, 34.9MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
Outputs
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
Calls

3 calls:

4.0ms
z
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
90.8%3z
72.7%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
72.7%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes12.0ms (0.1%)

Memory
-7.3MiB live, 29.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
Calls

3 calls:

5.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
71.6%3y
80.5%3x
70.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Memory
3.6MiB live, 42.8MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
Calls

4 calls:

3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
3.0ms
y
3.0ms
x
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
60.8%4y
71.2%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
71.2%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
63.0%5x
Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes7.0ms (0.1%)

Memory
-27.3MiB live, 16.1MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
Calls

2 calls:

5.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
71.1%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
71.1%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory
19.9MiB live, 19.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
Outputs
(*.f64 z (/.f64 #s(literal -4 binary64) y))
#s(literal 4 binary64)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
Calls

3 calls:

2.0ms
z
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
54.7%3z
64.4%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
64.4%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes9.0ms (0.1%)

Memory
-2.6MiB live, 37.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
Outputs
#s(literal 4 binary64)
Calls

5 calls:

2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
2.0ms
z
2.0ms
x
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
2.0ms
y
Results
AccuracySegmentsBranch
37.6%1z
37.6%1y
37.6%1x
37.6%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
37.6%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes8.0ms (0.1%)

Memory
-16.9MiB live, 22.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

2.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
1.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
8.2%1y
8.2%1z
8.2%1x
8.2%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
8.2%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1556045905.4172413
3.441881208264749e+32
0.0ms
-53.29783346197619
2.9999665246036473
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1556045905.4172413
3.441881208264749e+32
0.0ms
-53.29783346197619
2.9999665246036473
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1556045905.4172413
3.441881208264749e+32
0.0ms
-53.29783346197619
2.9999665246036473
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch33.0ms (0.3%)

Memory
-4.1MiB live, 81.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
4.504517094209143e+45
2.4444930353302437e+63
12.0ms
-7.083259573841078e-8
-5.3699404770807334e-11
Samples
17.0ms288×0valid
Compiler

Compiled 379 to 288 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (38.1% of total)
ival-add: 3.0ms (28.6% of total)
ival-div: 2.0ms (19% of total)
ival-sub: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
23.9MiB live, 63.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.952809219281171e+132
1.111493242563292e+136
10.0ms
-3.076757499343425e+38
-3.6895752509369435e+36
Samples
15.0ms240×0valid
Compiler

Compiled 304 to 243 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43% of total)
ival-div: 2.0ms (21.5% of total)
ival-add: 2.0ms (21.5% of total)
ival-sub: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.002294146173961
1556045905.4172413
0.0ms
-53.29783346197619
2.9999665246036473
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.002294146173961
1556045905.4172413
0.0ms
-53.29783346197619
2.9999665246036473
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.441881208264749e+32
8.558343309847583e+34
0.0ms
-53.29783346197619
2.9999665246036473
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify13.0ms (0.1%)

Memory
-9.3MiB live, 29.6MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
12×if-if-or-not_binary32
10×+-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059298
190298
296298
398298
499298
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))))
(if (<=.f64 z #s(literal -3191564163782621/9671406556917033397649408 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (if (<=.f64 z #s(literal 7200000000000000487475840722802739848802682094463962054656 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))))
(if (<=.f64 x #s(literal -290000000000000006694174640057505284096 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 x #s(literal 5299999999999999967157509711072557472450642944964615555547584508729825171006995433563816258727554567524598443785865164765095346044928 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 499999999999999972787615493521408 binary64)) #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))))
(if (<=.f64 z #s(literal -3191564163782621/9671406556917033397649408 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (if (<=.f64 z #s(literal 7200000000000000487475840722802739848802682094463962054656 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))))
(if (<=.f64 x #s(literal -290000000000000006694174640057505284096 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 x #s(literal 5299999999999999967157509711072557472450642944964615555547584508729825171006995433563816258727554567524598443785865164765095346044928 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50 binary64)) (*.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 499999999999999972787615493521408 binary64)) #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))))
#s(literal 4 binary64)
#s(literal 1 binary64)

soundness1.4s (13.6%)

Memory
17.1MiB live, 1 079.9MiB allocated
Rules
12 206×accelerator-lowering-fma.f32
12 206×accelerator-lowering-fma.f64
10 810×accelerator-lowering-fma.f32
10 810×accelerator-lowering-fma.f64
8 514×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02293
114687
2118787
0837080
04893664
114783584
242033493
086083281
03373044
110022992
228472853
082922650
01481462
14461462
212221252
336841200
082661070
01245
16845
262345
0846939
02287
114186
2115386
0826976
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 526 to 212 computations (59.7% saved)

preprocess87.0ms (0.9%)

Memory
-14.2MiB live, 190.6MiB allocated
Compiler

Compiled 688 to 142 computations (79.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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