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

Time bar (total: 7.9s)

analyze52.0ms (0.7%)

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
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (47.4% of total)
ival-sub: 7.0ms (36.9% of total)
ival-div: 2.0ms (10.5% of total)
const: 1.0ms (5.3% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (12.9%)

Results
599.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 336.0ms
ival-mult: 151.0ms (44.9% of total)
ival-sub: 102.0ms (30.3% of total)
ival-div: 66.0ms (19.6% of total)
const: 14.0ms (4.2% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess337.0ms (4.3%)

Algorithm
egg-herbie
Rules
2736×accelerator-lowering-fma.f32
2736×accelerator-lowering-fma.f64
1160×div-sub
1152×*-lowering-*.f32
1152×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042120
1135112
2427110
3158990
4570890
01011
12311
26311
31649
44059
59789
625899
745229
848419
948519
1048609
1148609
1251729
1353819
1453979
1553979
1653979
1754299
1855369
055368
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
Outputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
Call 2
Inputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(/ (* 4 (- (- (neg x) y) (* z 1/2))) z)
(/ (* 4 (- (- x (neg y)) (* z 1/2))) z)
(/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z))
(neg (/ (* 4 (- (- (neg x) y) (* z 1/2))) z))
(neg (/ (* 4 (- (- x (neg y)) (* z 1/2))) z))
(neg (/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z)))
(/ (* 4 (- (- y x) (* z 1/2))) z)
(/ (* 4 (- (- z y) (* x 1/2))) x)
(/ (* 4 (- (- x z) (* y 1/2))) y)
Outputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(+ (* 4 (/ (- x y) z)) -2)
(/ (* 4 (- (- (neg x) y) (* z 1/2))) z)
(+ (* -4 (/ (+ x y) z)) -2)
(/ (* 4 (- (- x (neg y)) (* z 1/2))) z)
(+ (* 4 (/ (+ x y) z)) -2)
(/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z))
(* 4 (- -1/2 (/ (- x y) z)))
(neg (/ (* 4 (- (- (neg x) y) (* z 1/2))) z))
(+ (* 4 (/ (+ x y) z)) 2)
(neg (/ (* 4 (- (- x (neg y)) (* z 1/2))) z))
(* (+ (/ (+ x y) z) -1/2) -4)
(neg (/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z)))
(+ (* 4 (/ (- x y) z)) 2)
(/ (* 4 (- (- y x) (* z 1/2))) z)
(* 4 (- -1/2 (/ (- x y) z)))
(/ (* 4 (- (- z y) (* x 1/2))) x)
(+ (* 4 (/ (- z y) x)) -2)
(/ (* 4 (- (- x z) (* y 1/2))) y)
(* 4 (+ (/ (- x z) y) -1/2))

explain131.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 z #s(literal 1/2 binary64))
00-0-(-.f64 x y)
00-0-(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
00-0-y
00-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
00-0-z
00-0-#s(literal 4 binary64)
Results
87.0ms512×0valid
Compiler

Compiled 98 to 56 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 24.0ms (48.6% of total)
ival-sub: 19.0ms (38.5% of total)
ival-div: 4.0ms (8.1% of total)
const: 2.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
100.0%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
Compiler

Compiled 26 to 19 computations (26.9% saved)

localize400.0ms (5.1%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
cost-diff128
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 x y))
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
cost-diff0
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(*.f64 z #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 x y))
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
Rules
2736×accelerator-lowering-fma.f32
2736×accelerator-lowering-fma.f64
1770×div-sub
1152×*-lowering-*.f32
1152×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01458
13158
27858
319358
443958
5108558
6291258
7511858
8590958
9592758
10593658
11593658
12627258
13644158
14644158
15644158
16644158
17647358
18658058
0658054
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ -2 (/ (* 4 (- x y)) z))
-2
(/ (* 4 (- x y)) z)
(* 4 (- x y))
4
(- x y)
x
y
z
(/ (* 4 (- (- x y) (* z 1/2))) z)
(* 4 (- (- x y) (* z 1/2)))
(- (- x y) (* z 1/2))
(* z 1/2)
1/2
Outputs
(+ -2 (/ (* 4 (- x y)) z))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 y x) z)))
-2
#s(literal -2 binary64)
(/ (* 4 (- x y)) z)
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (- x y))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
4
#s(literal 4 binary64)
(- x y)
(-.f64 x y)
x
y
z
(/ (* 4 (- (- x y) (* z 1/2))) z)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 y x) z)))
(* 4 (- (- x y) (* z 1/2)))
(*.f64 #s(literal 4 binary64) (-.f64 x (+.f64 y (*.f64 z #s(literal 1/2 binary64)))))
(- (- x y) (* z 1/2))
(-.f64 x (+.f64 y (*.f64 z #s(literal 1/2 binary64))))
(* z 1/2)
(*.f64 z #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
Results
99.0ms256×0valid
Compiler

Compiled 71 to 35 computations (50.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 18.0ms (55.2% of total)
ival-sub: 6.0ms (18.4% of total)
ival-div: 5.0ms (15.3% of total)
const: 2.0ms (6.1% of total)
ival-add: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.3%)

Counts
8 → 240
Calls
Call 1
Inputs
#<alt (/ (* 4 (- x y)) z)>
#<alt (* 4 (- x y))>
#<alt (+ -2 (/ (* 4 (- x y)) z))>
#<alt (- x y)>
#<alt (/ (* 4 (- (- x y) (* z 1/2))) z)>
#<alt (* 4 (- (- x y) (* z 1/2)))>
#<alt (* z 1/2)>
#<alt (- (- x y) (* z 1/2))>
Outputs
#<alt (* -4 (/ y z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* -4 y)>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* 4 x)>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (* -4 y)>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -4 (/ (+ y (* 1/2 z)) z))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x (* 1/2 z)) z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (* -4 (+ y (* 1/2 z)))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (+ (* -4 (+ y (* 1/2 z))) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))>
#<alt (* 4 (- x (* 1/2 z)))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (+ (* -4 y) (* 4 (- x (* 1/2 z))))>
#<alt (* -4 y)>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))>
#<alt (* 4 (- x y))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (+ (* -2 z) (* 4 (- x y)))>
#<alt (* -2 z)>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* z (- (* 4 (/ (- x y) z)) 2))>
#<alt (* -2 z)>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* -1 (+ y (* 1/2 z)))>
#<alt (- x (+ y (* 1/2 z)))>
#<alt (- x (+ y (* 1/2 z)))>
#<alt (- x (+ y (* 1/2 z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))>
#<alt x>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))>
#<alt (- x (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (- (+ x (* -1 y)) (* 1/2 z))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))>
#<alt (- x y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (- (+ x (* -1/2 z)) y)>
#<alt (* -1/2 z)>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* z (- (/ x z) (+ 1/2 (/ y z))))>
#<alt (* -1/2 z)>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(+ -2 (/ (* 4 (- x y)) z))
2.0ms
x
@-inf
(/ (* 4 (- (- x y) (* z 1/2))) z)
1.0ms
z
@inf
(/ (* 4 (- x y)) z)
1.0ms
y
@0
(/ (* 4 (- x y)) z)
1.0ms
x
@inf
(/ (* 4 (- x y)) z)

rewrite775.0ms (9.9%)

Algorithm
batch-egg-rewrite
Rules
7066×accelerator-lowering-fma.f32
7066×accelerator-lowering-fma.f64
5694×*-lowering-*.f32
5694×*-lowering-*.f64
4034×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01454
18154
271554
0836950
Stop Event
iter limit
node limit
Counts
8 → 677
Calls
Call 1
Inputs
(/ (* 4 (- x y)) z)
(* 4 (- x y))
(+ -2 (/ (* 4 (- x y)) z))
(- x y)
(/ (* 4 (- (- x y) (* z 1/2))) z)
(* 4 (- (- x y) (* z 1/2)))
(* z 1/2)
(- (- x y) (* z 1/2))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -4 binary64) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -4 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) z)))
(neg.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) z))
(neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) z) #s(literal 1 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/4 binary64) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (-.f64 x y) #s(literal -4 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 z (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 4 binary64)) (*.f64 z (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 z (+.f64 x y)))
(/.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) #s(literal -1 binary64)) z)
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 4 binary64))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 4 binary64) z)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 4 binary64) z)) (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 4 binary64) z)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 4 binary64) z)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 4 binary64) z)) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) z)) (+.f64 x y))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) z)) (+.f64 x y))
(pow.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 1 binary64)))
(*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z))
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)))
(*.f64 (-.f64 x y) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 4 binary64) z)))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) z))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 x y) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) z))
(*.f64 #s(literal -4 binary64) (*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z))
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 4 binary64) (-.f64 x y))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)) (-.f64 x y))
(+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal -4 binary64) y))
(+.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 #s(literal 4 binary64) x))
(+.f64 (*.f64 x #s(literal 4 binary64)) (neg.f64 (*.f64 y #s(literal 4 binary64))))
(+.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) #s(literal -4 binary64)))
(fma.f64 #s(literal 4 binary64) x (*.f64 #s(literal -4 binary64) y))
(fma.f64 #s(literal 4 binary64) (neg.f64 y) (*.f64 #s(literal 4 binary64) x))
(fma.f64 x #s(literal 4 binary64) (neg.f64 (*.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 (neg.f64 y) #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) x))
(fma.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 x y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 4 binary64)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 4 binary64)) (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(/.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x y))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -4 binary64) y)) (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal -4 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) (neg.f64 (*.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 x #s(literal 4 binary64)) (neg.f64 (*.f64 y #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) (*.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -4 binary64) y))) (-.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal -4 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) (neg.f64 (*.f64 y #s(literal 4 binary64))))) (-.f64 (*.f64 x #s(literal 4 binary64)) (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 4 binary64))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 x y))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 x y))) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x y) #s(literal 1 binary64)))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 x y) #s(literal -4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
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(*.f64 (/.f64 (+.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) (*.f64 (*.f64 z (+.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (/.f64 z #s(literal 4 binary64)))) (*.f64 (*.f64 z (/.f64 z #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) (+.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (+.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (/.f64 z #s(literal 4 binary64)))) (-.f64 (*.f64 z (+.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (/.f64 z #s(literal 4 binary64)))) (*.f64 (-.f64 x y) (-.f64 x y))))))
(*.f64 (/.f64 (+.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (/.f64 z #s(literal 4 binary64))) (*.f64 (+.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) (+.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))))) (-.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 z (+.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (/.f64 z #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (*.f64 z z) #s(literal -1/4 binary64))) (+.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64)))) (+.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 z (-.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))))))

simplify525.0ms (6.7%)

Algorithm
egg-herbie
Rules
11544×accelerator-lowering-fma.f32
11544×accelerator-lowering-fma.f64
4328×*-lowering-*.f32
4328×*-lowering-*.f64
1428×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821938
15681937
216771525
350011525
083501410
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* -4 (/ y z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* -4 y)
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ y x))))
(* x (+ 4 (* -4 (/ y x))))
(* x (+ 4 (* -4 (/ y x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* 4 x)
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(* -4 y)
(* y (- (* 4 (/ x y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* 4 (/ x z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(- (* 4 (/ x z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* -1 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(- x y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
Outputs
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(- (* -4 (/ y z)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x))) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -4 (/ (+ y (* 1/2 z)) z))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* 4 (/ (- x (* 1/2 z)) z))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x))) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)))
(* -4 (+ y (* 1/2 z)))
(+.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* 4 (- x (* 1/2 z)))
(+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* 4 (- x y))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -2 z) (* 4 (- x y)))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(+ (* -2 z) (* 4 (- x y)))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(+ (* -2 z) (* 4 (- x y)))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 #s(literal -4 binary64) (+.f64 y (-.f64 (*.f64 z #s(literal 1/2 binary64)) x)))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* -1 (+ y (* 1/2 z)))
(-.f64 (*.f64 z #s(literal -1/2 binary64)) y)
(- x (+ y (* 1/2 z)))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(- x (+ y (* 1/2 z)))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(- x (+ y (* 1/2 z)))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(- x (* 1/2 z))
(+.f64 x (*.f64 z #s(literal -1/2 binary64)))
(- (+ x (* -1 y)) (* 1/2 z))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(- (+ x (* -1 y)) (* 1/2 z))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(- (+ x (* -1 y)) (* 1/2 z))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(- x y)
(-.f64 x y)
(- (+ x (* -1/2 z)) y)
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(- (+ x (* -1/2 z)) y)
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(- (+ x (* -1/2 z)) y)
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(+.f64 x (-.f64 (*.f64 z #s(literal -1/2 binary64)) y))

eval198.0ms (2.5%)

Compiler

Compiled 22782 to 9449 computations (58.5% saved)

prune199.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New9927999
Fresh000
Picked112
Done000
Total99381001
Accuracy
100.0%
Counts
1001 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
39.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
37.3%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
66.0%
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
99.8%
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal -2 binary64))
100.0%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
63.5%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
28.5%
#s(literal -2 binary64)
Compiler

Compiled 136 to 105 computations (22.8% saved)

localize212.0ms (2.7%)

Algorithm
egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
cost-diff0
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
cost-diff0
(*.f64 #s(literal 4 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 z (-.f64 x y))
cost-diff0
(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y)))
cost-diff0
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal -2 binary64))
accuracy100.0%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
accuracy100.0%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
accuracy100.0%
(*.f64 #s(literal -4 binary64) y)
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
accuracy100.0%
(*.f64 #s(literal 4 binary64) x)
accuracy100.0%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
accuracy100.0%
(*.f64 #s(literal -4 binary64) y)
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal -2 binary64))
accuracy100.0%
(/.f64 z (-.f64 x y))
accuracy99.4%
(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y)))
Rules
1232×accelerator-lowering-fma.f32
1232×accelerator-lowering-fma.f64
592×*-lowering-*.f32
592×*-lowering-*.f64
400×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
12753
24553
38553
414053
522253
636953
763253
8107253
9185553
10230553
11255653
12259753
13261053
14261053
0261051
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (/ 4 (/ z (- x y))) -2)
(/ 4 (/ z (- x y)))
4
(/ z (- x y))
z
(- x y)
x
y
-2
(/ (* -4 y) z)
(* -4 y)
-4
(/ (* 4 x) z)
(* 4 x)
(+ -2 (/ (* -4 y) z))
Outputs
(+ (/ 4 (/ z (- x y))) -2)
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal -2 binary64))
(/ 4 (/ z (- x y)))
(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y)))
4
#s(literal 4 binary64)
(/ z (- x y))
(/.f64 z (-.f64 x y))
z
(- x y)
(-.f64 x y)
x
y
-2
#s(literal -2 binary64)
(/ (* -4 y) z)
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 y)
(*.f64 y #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (* 4 x) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ -2 (/ (* -4 y) z))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z))
Results
60.0ms256×0valid
Compiler

Compiled 75 to 39 computations (48% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 14.0ms (42.3% of total)
ival-div: 13.0ms (39.2% of total)
ival-add: 3.0ms (9.1% of total)
ival-sub: 2.0ms (6% of total)
const: 2.0ms (6% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.3%)

Counts
9 → 228
Calls
Call 1
Inputs
#<alt (/ 4 (/ z (- x y)))>
#<alt (/ z (- x y))>
#<alt (+ (/ 4 (/ z (- x y))) -2)>
#<alt (- x y)>
#<alt (* -4 y)>
#<alt (/ (* -4 y) z)>
#<alt (* 4 x)>
#<alt (/ (* 4 x) z)>
#<alt (+ -2 (/ (* -4 y) z))>
Outputs
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* -4 (/ y z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (/ z (- x y))>
#<alt (/ z (- x y))>
#<alt (/ z (- x y))>
#<alt (/ z (- x y))>
#<alt (/ z (- x y))>
#<alt (/ z (- x y))>
#<alt (/ z (- x y))>
#<alt (/ z (- x y))>
#<alt (/ z (- x y))>
#<alt (/ z (- x y))>
#<alt (/ z (- x y))>
#<alt (/ z (- x y))>
#<alt (* -1 (/ z y))>
#<alt (+ (* -1 (/ z y)) (* -1 (/ (* x z) (pow y 2))))>
#<alt (+ (* -1 (/ z y)) (* x (- (* -1 (/ (* x z) (pow y 3))) (/ z (pow y 2)))))>
#<alt (+ (* -1 (/ z y)) (* x (- (* x (- (* -1 (/ (* x z) (pow y 4))) (/ z (pow y 3)))) (/ z (pow y 2)))))>
#<alt (/ z x)>
#<alt (/ (+ z (/ (* y z) x)) x)>
#<alt (/ (- (+ z (/ (* (pow y 2) z) (pow x 2))) (* -1 (/ (* y z) x))) x)>
#<alt (/ (- (+ z (/ (* (pow y 3) z) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) z) (pow x 2))))) x)>
#<alt (/ z x)>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (* y z) x))) x))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* y z) (/ (* (pow y 2) z) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* -1 (/ (* (pow y 3) z) x))) x)) (* y z)) x))) x))>
#<alt (/ z x)>
#<alt (+ (/ z x) (/ (* y z) (pow x 2)))>
#<alt (+ (* y (- (/ (* y z) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ z x))>
#<alt (+ (* y (- (* y (- (/ (* y z) (pow x 4)) (* -1 (/ z (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ z x))>
#<alt (* -1 (/ z y))>
#<alt (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y)>
#<alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow x 2) z) (pow y 2)))) (/ (* x z) y)) y)>
#<alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow x 3) z) (pow y 3)))) (+ (/ (* x z) y) (/ (* (pow x 2) z) (pow y 2)))) y)>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ (+ z (/ (* x z) y)) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow x 2) z) y)) (* x z)) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) y) (* -1 (* (pow x 2) z))) y)) (* x z)) y))) y))>
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -4 y)>
#<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 z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* 4 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 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ y z))>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
Calls

57 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/ z (- x y))
3.0ms
x
@-inf
(/ z (- x y))
1.0ms
y
@inf
(/ (* -4 y) z)
1.0ms
y
@0
(/ z (- x y))
0.0ms
y
@0
(/ (* -4 y) z)

rewrite704.0ms (9%)

Algorithm
batch-egg-rewrite
Rules
5776×accelerator-lowering-fma.f32
5776×accelerator-lowering-fma.f64
5640×*-lowering-*.f32
5640×*-lowering-*.f64
4238×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01547
18947
273647
0844545
Stop Event
iter limit
node limit
Counts
9 → 586
Calls
Call 1
Inputs
(/ 4 (/ z (- x y)))
(/ z (- x y))
(+ (/ 4 (/ z (- x y))) -2)
(- x y)
(* -4 y)
(/ (* -4 y) z)
(* 4 x)
(/ (* 4 x) z)
(+ -2 (/ (* -4 y) z))
Outputs
(+.f64 (/.f64 #s(literal -4 binary64) (/.f64 z y)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z #s(literal -4 binary64)) (-.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 y x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 y (*.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) z) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 #s(literal -4 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (/.f64 #s(literal -4 binary64) (/.f64 z y)) #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z y)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal -1/4 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z y)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) z) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 4 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 4 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (/.f64 z y)))
(fma.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -4 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z #s(literal -4 binary64)) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
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(*.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y z) #s(literal 16 binary64)) #s(literal 8 binary64))) (*.f64 (*.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y z) #s(literal 16 binary64)) #s(literal 8 binary64))) (*.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y z) #s(literal 16 binary64)) #s(literal 8 binary64))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y z) #s(literal 16 binary64)) #s(literal 8 binary64))) (-.f64 (*.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y z) #s(literal 16 binary64)) #s(literal 8 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y z) #s(literal 16 binary64)) #s(literal 8 binary64))) (*.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y z) #s(literal 16 binary64)) #s(literal 8 binary64)))))) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y z) #s(literal 16 binary64)) #s(literal 8 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (/.f64 y z) (/.f64 z y)))) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 64 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (+.f64 (*.f64 (/.f64 y z) #s(literal 16 binary64)) #s(literal 8 binary64)))))

simplify718.0ms (9.1%)

Algorithm
egg-herbie
Rules
10866×accelerator-lowering-fma.f32
10866×accelerator-lowering-fma.f64
5338×*-lowering-*.f32
5338×*-lowering-*.f64
2704×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111625
16211587
218291542
367561530
080371450
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* -4 (/ y z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/ z (- x y))
(/ z (- x y))
(/ z (- x y))
(/ z (- x y))
(/ z (- x y))
(/ z (- x y))
(/ z (- x y))
(/ z (- x y))
(/ z (- x y))
(/ z (- x y))
(/ z (- x y))
(/ z (- x y))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (* -1 (/ (* x z) (pow y 2))))
(+ (* -1 (/ z y)) (* x (- (* -1 (/ (* x z) (pow y 3))) (/ z (pow y 2)))))
(+ (* -1 (/ z y)) (* x (- (* x (- (* -1 (/ (* x z) (pow y 4))) (/ z (pow y 3)))) (/ z (pow y 2)))))
(/ z x)
(/ (+ z (/ (* y z) x)) x)
(/ (- (+ z (/ (* (pow y 2) z) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/ (- (+ z (/ (* (pow y 3) z) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) z) (pow x 2))))) x)
(/ z x)
(* -1 (/ (+ (* -1 z) (* -1 (/ (* y z) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* y z) (/ (* (pow y 2) z) x)) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* -1 (/ (* (pow y 3) z) x))) x)) (* y z)) x))) x))
(/ z x)
(+ (/ z x) (/ (* y z) (pow x 2)))
(+ (* y (- (/ (* y z) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ z x))
(+ (* y (- (* y (- (/ (* y z) (pow x 4)) (* -1 (/ z (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ z x))
(* -1 (/ z y))
(/ (+ (* -1 z) (* -1 (/ (* x z) y))) y)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow x 2) z) (pow y 2)))) (/ (* x z) y)) y)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow x 3) z) (pow y 3)))) (+ (/ (* x z) y) (/ (* (pow x 2) z) (pow y 2)))) y)
(* -1 (/ z y))
(* -1 (/ (+ z (/ (* x z) y)) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow x 2) z) y)) (* x z)) y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) y) (* -1 (* (pow x 2) z))) y)) (* x z)) y))) y))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* 4 (/ x z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(- (* 4 (/ x z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(* -4 (/ y z))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
Outputs
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 #s(literal -4 binary64) (*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 #s(literal -4 binary64) (*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 #s(literal -4 binary64) (*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z))))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal -4 binary64) (*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal -4 binary64) (*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal -4 binary64) (*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z))))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(/ z (- x y))
(/.f64 z (-.f64 x y))
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(+ (* -1 (/ z y)) (* -1 (/ (* x z) (pow y 2))))
(*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 (/ z y)) (* x (- (* -1 (/ (* x z) (pow y 3))) (/ z (pow y 2)))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 z y)))) y)
(+ (* -1 (/ z y)) (* x (- (* x (- (* -1 (/ (* x z) (pow y 4))) (/ z (pow y 3)))) (/ z (pow y 2)))))
(-.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x z))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 z (*.f64 y y)))))) (/.f64 z y))
(/ z x)
(/.f64 z x)
(/ (+ z (/ (* y z) x)) x)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x))
(/ (- (+ z (/ (* (pow y 2) z) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/.f64 (+.f64 z (*.f64 y (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z x)))) x)
(/ (- (+ z (/ (* (pow y 3) z) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) z) (pow x 2))))) x)
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 z (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)))) x)
(/ z x)
(/.f64 z x)
(* -1 (/ (+ (* -1 z) (* -1 (/ (* y z) x))) x))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* y z) (/ (* (pow y 2) z) x)) x))) x))
(/.f64 (+.f64 z (*.f64 y (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z x)))) x)
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) z)) (* -1 (/ (* (pow y 3) z) x))) x)) (* y z)) x))) x))
(/.f64 (+.f64 z (/.f64 (-.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 y y) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)))) x)) x)) x)
(/ z x)
(/.f64 z x)
(+ (/ z x) (/ (* y z) (pow x 2)))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z x))
(+ (* y (- (/ (* y z) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ z x))
(+.f64 (/.f64 z x) (*.f64 y (*.f64 (/.f64 z (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))))
(+ (* y (- (* y (- (/ (* y z) (pow x 4)) (* -1 (/ z (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ z x))
(+.f64 (/.f64 z x) (*.f64 y (+.f64 (/.f64 (*.f64 y (*.f64 y z)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 z (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal 1 binary64))))))
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(/ (+ (* -1 z) (* -1 (/ (* x z) y))) y)
(*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/ (- (+ (* -1 z) (* -1 (/ (* (pow x 2) z) (pow y 2)))) (/ (* x z) y)) y)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 z y)))) y)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow x 3) z) (pow y 3)))) (+ (/ (* x z) y) (/ (* (pow x 2) z) (pow y 2)))) y)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 z (/.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 x (*.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))) y)) y)) y))
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(* -1 (/ (+ z (/ (* x z) y)) y))
(*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow x 2) z) y)) (* x z)) y))) y))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 z y)))) y)
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) y) (* -1 (* (pow x 2) z))) y)) (* x z)) y))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 z (/.f64 (+.f64 (*.f64 x z) (/.f64 (*.f64 x (*.f64 x (+.f64 z (/.f64 (*.f64 x z) y)))) y)) y)) y))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x y))) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (* -4 (/ y z)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)) x)))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)) x)))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)) x)))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)) x)))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)) x)))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)) x)))
(- (* 4 (/ x z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 x z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 y)
(*.f64 y #s(literal -4 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(* 4 (/ x z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(- (* -4 (/ y z)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(- (* -4 (/ y z)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -4 binary64))) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -4 binary64))) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -4 binary64))) z)
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(- (* -4 (/ y z)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(- (* -4 (/ y z)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(- (* -4 (/ y z)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(- (* -4 (/ y z)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))

eval211.0ms (2.7%)

Compiler

Compiled 15123 to 6693 computations (55.7% saved)

prune120.0ms (1.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New9022904
Fresh022
Picked055
Done011
Total90210912
Accuracy
100.0%
Counts
912 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
39.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
37.3%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
39.5%
(/.f64 #s(literal 4 binary64) (/.f64 z x))
37.2%
(/.f64 #s(literal -4 binary64) (/.f64 z y))
66.0%
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
99.8%
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal -2 binary64))
100.0%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
63.5%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
28.5%
#s(literal -2 binary64)
Compiler

Compiled 90 to 69 computations (23.3% saved)

localize287.0ms (3.6%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 x y))
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
cost-diff0
(/.f64 z x)
cost-diff0
(/.f64 #s(literal 4 binary64) (/.f64 z x))
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 #s(literal -4 binary64) (/.f64 z y))
cost-diff0
(*.f64 #s(literal 4 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
cost-diff0
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 x y))
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
accuracy100.0%
(/.f64 z x)
accuracy98.6%
(/.f64 #s(literal 4 binary64) (/.f64 z x))
accuracy100.0%
(/.f64 z y)
accuracy99.3%
(/.f64 #s(literal -4 binary64) (/.f64 z y))
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
accuracy100.0%
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
accuracy100.0%
(*.f64 #s(literal 4 binary64) x)
Rules
960×accelerator-lowering-fma.f32
960×accelerator-lowering-fma.f64
608×*-lowering-*.f32
608×*-lowering-*.f64
482×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01652
12952
24752
36852
411552
519452
633952
753552
883652
9149052
10198552
11228852
12265952
13287752
14289552
15289952
16289952
0289951
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (/ (* 4 x) z) -2)
(/ (* 4 x) z)
(* 4 x)
4
x
z
-2
(/ -4 (/ z y))
-4
(/ z y)
y
(/ 4 (/ z x))
(/ z x)
(/ (* 4 (- x y)) z)
(* 4 (- x y))
(- x y)
Outputs
(+ (/ (* 4 x) z) -2)
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal -2 binary64))
(/ (* 4 x) z)
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
4
#s(literal 4 binary64)
x
z
-2
#s(literal -2 binary64)
(/ -4 (/ z y))
(/.f64 #s(literal -4 binary64) (/.f64 z y))
-4
#s(literal -4 binary64)
(/ z y)
(/.f64 z y)
y
(/ 4 (/ z x))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/ z x)
(/.f64 z x)
(/ (* 4 (- x y)) z)
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (- x y))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(- x y)
(-.f64 x y)
Results
51.0ms256×0valid
Compiler

Compiled 64 to 31 computations (51.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 13.0ms (49.7% of total)
ival-mult: 8.0ms (30.6% of total)
const: 2.0ms (7.6% of total)
ival-sub: 1.0ms (3.8% of total)
ival-add: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.4%)

Counts
10 → 240
Calls
Call 1
Inputs
#<alt (* 4 x)>
#<alt (+ (/ (* 4 x) z) -2)>
#<alt (/ (* 4 x) z)>
#<alt (/ -4 (/ z y))>
#<alt (/ z y)>
#<alt (/ 4 (/ z x))>
#<alt (/ z x)>
#<alt (/ (* 4 (- x y)) z)>
#<alt (* 4 (- x y))>
#<alt (- x y)>
Outputs
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (* -4 (/ y z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* -4 y)>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* 4 x)>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (* -4 y)>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
Calls

60 calls:

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

rewrite490.0ms (6.2%)

Algorithm
batch-egg-rewrite
Rules
4492×*-lowering-*.f32
4492×*-lowering-*.f64
4072×accelerator-lowering-fma.f32
4072×accelerator-lowering-fma.f64
3680×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01646
19246
261246
0814345
Stop Event
iter limit
node limit
Counts
10 → 523
Calls
Call 1
Inputs
(* 4 x)
(+ (/ (* 4 x) z) -2)
(/ (* 4 x) z)
(/ -4 (/ z y))
(/ z y)
(/ 4 (/ z x))
(/ z x)
(/ (* 4 (- x y)) z)
(* 4 (- x y))
(- x y)
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -4 binary64)))
(neg.f64 (*.f64 x #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) x)
(*.f64 x #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -4 binary64)))
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(+.f64 (*.f64 (/.f64 #s(literal 16 binary64) (/.f64 z x)) (/.f64 (/.f64 x z) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z x)))
(-.f64 (*.f64 (/.f64 #s(literal 16 binary64) (/.f64 z x)) (/.f64 (/.f64 x z) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z x)))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z x)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 z x) (/.f64 z x))) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 z (/.f64 z x))) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) z) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) z) #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal -2 binary64))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) x) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z x)) #s(literal -2 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 16 binary64) (/.f64 (/.f64 x (*.f64 (/.f64 z x) z)) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x #s(literal -4 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 16 binary64) (/.f64 z x)) (/.f64 (/.f64 x z) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 4 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 4 binary64) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) #s(literal -1 binary64)) x #s(literal -2 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 1 binary64)) x #s(literal -2 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)))) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal -2 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 z (*.f64 z z))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal -8 binary64)) z))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)) (/.f64 z (*.f64 #s(literal 4 binary64) x)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 z x)) #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)) (/.f64 z (*.f64 #s(literal 4 binary64) x))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)) (/.f64 z (*.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z x))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z)))))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)) (/.f64 z (*.f64 #s(literal 4 binary64) x))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 z z))) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 z x)) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))) #s(literal -512 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 2 binary64)) (/.f64 z (*.f64 #s(literal 4 binary64) x)))) (+.f64 (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 64 binary64) (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 y (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (+.f64 x y) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (+.f64 y (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (+.f64 x y) (+.f64 y (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))

simplify399.0ms (5.1%)

Algorithm
egg-herbie
Rules
7366×accelerator-lowering-fma.f32
7366×accelerator-lowering-fma.f64
4004×*-lowering-*.f32
4004×*-lowering-*.f64
1340×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831257
12371257
26511101
319951101
438931101
555461101
667051101
768671101
869441101
969801101
1078611101
080631083
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(* 4 (/ x z))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(* -4 (/ y z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* -4 y)
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ y x))))
(* x (+ 4 (* -4 (/ y x))))
(* x (+ 4 (* -4 (/ y x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* 4 x)
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(* -4 y)
(* y (- (* 4 (/ x y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 z #s(literal -2 binary64))) z)
-2
#s(literal -2 binary64)
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(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
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(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
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(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
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(/ z y)
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(/ z y)
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(/ z y)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/ z x)
(/.f64 z x)
(/ z x)
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(/ z x)
(/.f64 z x)
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(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
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(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (/ (- x y) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval194.0ms (2.5%)

Compiler

Compiled 10638 to 4849 computations (54.4% saved)

prune118.0ms (1.5%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New7630763
Fresh000
Picked044
Done066
Total76310773
Accuracy
100.0%
Counts
773 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
39.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
37.3%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
39.5%
(/.f64 #s(literal 4 binary64) (/.f64 z x))
37.2%
(/.f64 #s(literal -4 binary64) (/.f64 z y))
66.0%
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
99.8%
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal -2 binary64))
100.0%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
63.5%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
28.5%
#s(literal -2 binary64)
Compiler

Compiled 164 to 115 computations (29.9% saved)

regimes26.0ms (0.3%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal -2 binary64)
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Outputs
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
Calls

5 calls:

9.0ms
z
5.0ms
x
5.0ms
(-.f64 x y)
4.0ms
y
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
100.0%1(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes45.0ms (0.6%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
Calls

4 calls:

12.0ms
x
12.0ms
y
11.0ms
z
8.0ms
(-.f64 x y)
Results
AccuracySegmentsBranch
93.6%8x
88.4%3y
87.9%3z
86.2%5(-.f64 x y)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
Outputs
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
Calls

2 calls:

10.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
69.3%3z
85.9%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
Calls

2 calls:

6.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
83.5%3x
71.1%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes26.0ms (0.3%)

Counts
5 → 6
Calls
Call 1
Inputs
#s(literal -2 binary64)
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
Calls

3 calls:

10.0ms
z
9.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
59.2%7z
59.9%3y
65.7%6x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts
4 → 6
Calls
Call 1
Inputs
#s(literal -2 binary64)
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
Outputs
(/.f64 #s(literal 4 binary64) (/.f64 z x))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 #s(literal 4 binary64) (/.f64 z x))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
65.6%6x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts
3 → 6
Calls
Call 1
Inputs
#s(literal -2 binary64)
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
Outputs
(/.f64 #s(literal 4 binary64) (/.f64 z x))
#s(literal -2 binary64)
(/.f64 #s(literal -4 binary64) (/.f64 z y))
#s(literal -2 binary64)
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
65.6%6x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.2%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(/.f64 #s(literal -4 binary64) (/.f64 z y))
Outputs
#s(literal -2 binary64)
(/.f64 #s(literal -4 binary64) (/.f64 z y))
#s(literal -2 binary64)
Calls

3 calls:

5.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
51.1%3z
52.2%5y
42.7%5x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

0.0ms
x
0.0ms
z
0.0ms
y
Results
AccuracySegmentsBranch
28.5%1x
28.5%1y
28.5%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
9.998916967867483e-13
91.810134532086
13.0ms
-7.051179807096811e-82
-8.291007702319282e-84
Results
19.0ms272×0valid
Compiler

Compiled 394 to 314 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (42.6% of total)
ival-sub: 3.0ms (32% of total)
ival-div: 2.0ms (21.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
9.998916967867483e-13
91.810134532086
12.0ms
-6.832150941966104e+77
-1.059918524157737e+76
Results
20.0ms272×0valid
Compiler

Compiled 394 to 321 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (49.7% of total)
ival-sub: 3.0ms (24.8% of total)
ival-div: 2.0ms (16.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.286213100501563e+164
2.5907486633789988e+165
14.0ms
-1.8224369258491543e+110
-1.0597277755450185e+106
Results
17.0ms240×0valid
Compiler

Compiled 320 to 255 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43.5% of total)
ival-sub: 3.0ms (32.6% of total)
ival-div: 2.0ms (21.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch71.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.062361302721786e+124
4.586544345088564e+124
15.0ms
1.133909902550291e-287
1.0367711227674135e-285
13.0ms
-1.0256679830324725e-154
-1.6636818423452982e-158
15.0ms
-4.296655791080797e-43
-3.758827636510804e-49
11.0ms
-2.1638470747284817e+91
-8.24261401200966e+90
Results
45.0ms560×0valid
Compiler

Compiled 534 to 447 computations (16.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sub: 11.0ms (46.3% of total)
ival-mult: 8.0ms (33.6% of total)
ival-div: 4.0ms (16.8% of total)
const: 1.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch67.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.062361302721786e+124
4.586544345088564e+124
12.0ms
1.133909902550291e-287
1.0367711227674135e-285
13.0ms
-1.0256679830324725e-154
-1.6636818423452982e-158
15.0ms
-4.296655791080797e-43
-3.758827636510804e-49
9.0ms
-2.1638470747284817e+91
-8.24261401200966e+90
Results
41.0ms560×0valid
Compiler

Compiled 534 to 447 computations (16.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (47.2% of total)
ival-sub: 7.0ms (30% of total)
ival-div: 4.0ms (17.2% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch131.0ms (1.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.062361302721786e+124
4.586544345088564e+124
77.0ms
1.133909902550291e-287
1.0367711227674135e-285
13.0ms
-1.0256679830324725e-154
-1.6636818423452982e-158
15.0ms
-4.296655791080797e-43
-3.758827636510804e-49
9.0ms
-2.1638470747284817e+91
-8.24261401200966e+90
Results
105.0ms560×0valid
Compiler

Compiled 534 to 447 computations (16.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-sub: 72.0ms (82.8% of total)
ival-mult: 10.0ms (11.5% of total)
ival-div: 4.0ms (4.6% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.4193803752289813e+72
8.93051076713652e+72
15.0ms
-8.638679599226795e+118
-2.093279106455249e+110
Results
22.0ms240×0valid
Compiler

Compiled 230 to 195 computations (15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 8.0ms (55.7% of total)
ival-mult: 4.0ms (27.9% of total)
ival-div: 2.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

soundness3.0ms (0%)

Stop Event
done
Compiler

Compiled 237 to 160 computations (32.5% saved)

preprocess148.0ms (1.9%)

Compiler

Compiled 534 to 364 computations (31.8% saved)

end0.0ms (0%)

Profiling

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