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

Time bar (total: 4.5s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

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

sample1.1s (24%)

Results
692.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 331.0ms
ival-div: 137.0ms (41.4% of total)
ival-mult: 121.0ms (36.5% of total)
ival-sub: 56.0ms (16.9% of total)
const: 15.0ms (4.5% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess228.0ms (5%)

Algorithm
egg-herbie
Rules
1890×fnmadd-define
1322×fma-define
1158×fmsub-define
1152×fnmsub-define
1104×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03496
17683
217180
340480
4111980
5250380
6471080
7530680
8533080
9533080
099
1148
2298
3438
4758
51368
62758
76228
810688
915778
1018928
1119518
1219598
019598
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (/ (* x y) 2) (/ z 8))
Outputs
(- (/ (* x y) 2) (/ z 8))
(+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
Call 2
Inputs
(- (/ (* x y) 2) (/ z 8))
(- (/ (* (neg x) y) 2) (/ z 8))
(- (/ (* x (neg y)) 2) (/ z 8))
(- (/ (* x y) 2) (/ (neg z) 8))
(neg (- (/ (* (neg x) y) 2) (/ z 8)))
(neg (- (/ (* x (neg y)) 2) (/ z 8)))
(neg (- (/ (* x y) 2) (/ (neg z) 8)))
(- (/ (* y x) 2) (/ z 8))
(- (/ (* z y) 2) (/ x 8))
(- (/ (* x z) 2) (/ y 8))
Outputs
(- (/ (* x y) 2) (/ z 8))
(fnmsub x (* y -1/2) (* z 1/8))
(- (/ (* (neg x) y) 2) (/ z 8))
(fnmsub x (* y 1/2) (* z 1/8))
(- (/ (* x (neg y)) 2) (/ z 8))
(fnmsub x (* y 1/2) (* z 1/8))
(- (/ (* x y) 2) (/ (neg z) 8))
(fnmsub x (* y -1/2) (* z -1/8))
(neg (- (/ (* (neg x) y) 2) (/ z 8)))
(fnmsub x (* y -1/2) (* z -1/8))
(neg (- (/ (* x (neg y)) 2) (/ z 8)))
(fnmsub x (* y -1/2) (* z -1/8))
(neg (- (/ (* x y) 2) (/ (neg z) 8)))
(fnmsub x (* y 1/2) (* z 1/8))
(- (/ (* y x) 2) (/ z 8))
(fnmsub x (* y -1/2) (* z 1/8))
(- (/ (* z y) 2) (/ x 8))
(fnmsub x 1/8 (* y (* z -1/2)))
(- (/ (* x z) 2) (/ y 8))
(fnmsub y 1/8 (* z (* x -1/2)))
Symmetry

(sort x y)

explain119.0ms (2.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 z #s(literal 8 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
00-0-(*.f64 x y)
00-0-z
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-#s(literal 8 binary64)
Results
77.0ms512×0valid
Compiler

Compiled 70 to 29 computations (58.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (46.1% of total)
ival-mult: 5.0ms (32.9% of total)
ival-sub: 3.0ms (19.7% of total)
const: 1.0ms (6.6% 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 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Compiler

Compiled 12 to 9 computations (25% saved)

simplify48.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z #s(literal 8 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff0
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Rules
676×fnmadd-define
424×fma-define
416×fmsub-define
400×fnmsub-define
392×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
11424
22924
34324
47524
513624
627524
762224
8106824
9157724
10189224
11195124
12195924
0195924
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ (* x y) 2) (/ z 8))
(/ (* x y) 2)
(* x y)
x
y
2
(/ z 8)
z
8
Outputs
(- (/ (* x y) 2) (/ z 8))
(+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(/ (* x y) 2)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(* x y)
(*.f64 x y)
x
y
2
#s(literal 2 binary64)
(/ z 8)
(/.f64 z #s(literal 8 binary64))
z
8
#s(literal 8 binary64)

localize43.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy100.0%
(/.f64 z #s(literal 8 binary64))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Results
34.0ms256×0valid
Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 7.0ms (60.1% of total)
ival-mult: 2.0ms (17.2% of total)
ival-sub: 1.0ms (8.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.3%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (- (/ (* x y) 2) (/ z 8))>
#<alt (/ (* x y) 2)>
#<alt (* x y)>
#<alt (/ z 8)>
Outputs
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
Calls

24 calls:

TimeVariablePointExpression
5.0ms
z
@inf
(- (/ (* x y) 2) (/ z 8))
2.0ms
x
@0
(/ (* x y) 2)
1.0ms
x
@inf
(/ (* x y) 2)
1.0ms
y
@inf
(- (/ (* x y) 2) (/ z 8))
0.0ms
x
@0
(- (/ (* x y) 2) (/ z 8))

rewrite273.0ms (6%)

Algorithm
batch-egg-rewrite
Rules
4654×*-lowering-*.f32
4654×*-lowering-*.f64
3062×/-lowering-/.f32
3062×/-lowering-/.f64
1682×frac-add
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0920
15219
251519
0905119
Stop Event
iter limit
node limit
Counts
4 → 219
Calls
Call 1
Inputs
(- (/ (* x y) 2) (/ z 8))
(/ (* x y) 2)
(* x y)
(/ z 8)
Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64)))
(+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 z #s(literal -8 binary64)) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(+.f64 (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64))) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64))))
(+.f64 (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64))) (fma.f64 (/.f64 z #s(literal -8 binary64)) #s(literal 1 binary64) (/.f64 z #s(literal 8 binary64))))
(+.f64 (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1/8 binary64) (/.f64 z #s(literal 8 binary64))))
(+.f64 (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64))) (+.f64 (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64))) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(+.f64 (/.f64 z #s(literal -8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 16 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (+.f64 (*.f64 x (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 x y)))) (*.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))) (neg.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z z)) #s(literal 512 binary64)) (+.f64 (*.f64 x (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 x y)))) (*.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64))))))))
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 x y)))) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 z z) #s(literal 64 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64))))))
(+.f64 (fma.f64 x (/.f64 y #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)) (neg.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (neg.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) x (neg.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (-.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 z #s(literal 8 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) #s(literal 16 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64)) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (+.f64 (*.f64 x (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 x y)))) (*.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) #s(literal 512 binary64)) (+.f64 (*.f64 x (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 x y)))) (*.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (+.f64 (*.f64 x (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 x y)))) (*.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))) (-.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z z)) #s(literal 512 binary64)) (+.f64 (*.f64 x (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 x y)))) (*.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 x y)))) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))) (/.f64 (/.f64 (*.f64 z z) #s(literal 64 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 x y)))) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))) (-.f64 (/.f64 (/.f64 (*.f64 z z) #s(literal 64 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) #s(literal -16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x y) (/.f64 z #s(literal 8 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 z #s(literal 8 binary64)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64))) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 z #s(literal 8 binary64))) (/.f64 #s(literal -2 binary64) (/.f64 z #s(literal 8 binary64)))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64))))
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(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 z #s(literal -8 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1/8 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64)))

simplify131.0ms (2.9%)

Algorithm
egg-herbie
Rules
1994×fmsub-define
1950×*-lowering-*.f32
1950×*-lowering-*.f64
1834×fmm-def
1278×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042481
1132481
2400481
31073481
42981481
55790481
08068481
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))

eval38.0ms (0.8%)

Compiler

Compiled 5711 to 635 computations (88.9% saved)

prune30.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3123315
Fresh000
Picked011
Done000
Total3124316
Accuracy
100.0%
Counts
316 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
47.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
53.4%
(*.f64 #s(literal -1/8 binary64) z)
Compiler

Compiled 37 to 28 computations (24.3% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z #s(literal -8 binary64))
cost-diff0
(/.f64 y #s(literal 2 binary64))
cost-diff6272
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
cost-diff0
(*.f64 #s(literal -1/8 binary64) z)
Rules
36×*-lowering-*.f32
36×*-lowering-*.f64
16×*-commutative
fma-lowering-fma.f32
fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
12435
23435
33835
43935
03935
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* -1/8 z)
-1/8
z
(* 1/2 (* x y))
1/2
(* x y)
x
y
(+ (* (/ y 2) x) (/ z -8))
(/ y 2)
y
2
x
(/ z -8)
z
-8
Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
-1/8
#s(literal -1/8 binary64)
z
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
1/2
#s(literal 1/2 binary64)
(* x y)
(*.f64 x y)
x
y
(+ (* (/ y 2) x) (/ z -8))
(+.f64 (*.f64 y (/.f64 x #s(literal 2 binary64))) (/.f64 z #s(literal -8 binary64)))
(/ y 2)
(/.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
x
(/ z -8)
(/.f64 z #s(literal -8 binary64))
z
-8
#s(literal -8 binary64)

localize90.0ms (2%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
accuracy100.0%
(/.f64 z #s(literal -8 binary64))
accuracy100.0%
(/.f64 y #s(literal 2 binary64))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
accuracy100.0%
(*.f64 #s(literal -1/8 binary64) z)
Results
77.0ms256×0valid
Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 20.0ms (68.6% of total)
compiled-spec: 4.0ms (13.7% of total)
ival-div: 3.0ms (10.3% of total)
ival-add: 1.0ms (3.4% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
6 → 120
Calls
Call 1
Inputs
#<alt (* -1/8 z)>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (+ (* (/ y 2) x) (/ z -8))>
#<alt (/ y 2)>
#<alt (/ z -8)>
Outputs
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
Calls

30 calls:

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

rewrite204.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
3350×*-lowering-*.f32
3350×*-lowering-*.f64
2232×/-lowering-/.f32
2232×/-lowering-/.f64
1404×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01425
15325
241425
3668325
0807325
Stop Event
iter limit
node limit
Counts
6 → 207
Calls
Call 1
Inputs
(* -1/8 z)
(* 1/2 (* x y))
(* x y)
(+ (* (/ y 2) x) (/ z -8))
(/ y 2)
(/ z -8)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (/.f64 z #s(literal 8 binary64)))
(neg.f64 (*.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 z #s(literal -8 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
(pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (/.f64 z #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1/8 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z #s(literal -8 binary64)))
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 z #s(literal 8 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(neg.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) x))
(neg.f64 (*.f64 x (/.f64 y #s(literal -2 binary64))))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -2 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y))) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -2 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 y (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 x #s(literal 2 binary64)) y)
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 x (*.f64 y #s(literal 1 binary64)))
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))) (neg.f64 (/.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 z #s(literal -8 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) x))
(-.f64 (/.f64 z #s(literal -8 binary64)) (*.f64 x (/.f64 y #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))) (/.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))) (/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64)) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))))
(fma.f64 #s(literal -1/8 binary64) z (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 z #s(literal -1/8 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (/.f64 z #s(literal -8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (/.f64 z #s(literal -8 binary64)))
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1/8 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 z #s(literal -8 binary64)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal -8 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (/.f64 (*.f64 z (*.f64 z z)) #s(literal -512 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64)) (/.f64 z (/.f64 #s(literal -64 binary64) z))) (+.f64 (/.f64 x (/.f64 #s(literal -2 binary64) y)) (/.f64 z #s(literal -8 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (/.f64 (*.f64 z (*.f64 z z)) #s(literal -512 binary64)))) (+.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64))) (/.f64 z (/.f64 #s(literal 64 binary64) z))) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (/.f64 (*.f64 z (*.f64 z z)) #s(literal -512 binary64))) (+.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (+.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) (*.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (+.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -16 binary64) z) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) y))) (-.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64)) (/.f64 z (/.f64 #s(literal -64 binary64) z))) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64))))))
(/.f64 (+.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) (*.f64 z #s(literal 2 binary64))) #s(literal -16 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 x y) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y)) (/.f64 #s(literal -16 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (/.f64 (*.f64 z (*.f64 z z)) #s(literal -512 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64))) (/.f64 z (/.f64 #s(literal 64 binary64) z))) (+.f64 (/.f64 x (/.f64 #s(literal -2 binary64) y)) (/.f64 z #s(literal -8 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) #s(literal -512 binary64)) (*.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (*.f64 (+.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) #s(literal -512 binary64)) (-.f64 (/.f64 (*.f64 z (*.f64 z z)) #s(literal -512 binary64)) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64))) (*.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (*.f64 #s(literal 1/512 binary64) (*.f64 z (*.f64 z z))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) #s(literal 8 binary64))) (*.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64)) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64))) (*.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64)) (/.f64 z (/.f64 #s(literal 64 binary64) z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64)) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/4096 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64)) (/.f64 z (/.f64 #s(literal 64 binary64) z)))))
(/.f64 (-.f64 (/.f64 z (/.f64 #s(literal 64 binary64) z)) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) #s(literal 4 binary64))) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 x (/.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (*.f64 x #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) y) z)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -8 binary64)))
(/.f64 (+.f64 (*.f64 x #s(literal 8 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) z))) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 8 binary64)))
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 8 binary64) z)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 8 binary64) z)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) z)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -8 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) z))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal -8 binary64) z)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) z)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) z))) #s(literal -16 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -8 binary64) z)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal 8 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -8 binary64) z)) (/.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -8 binary64) z)))
(/.f64 (+.f64 (*.f64 z (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal -8 binary64) x)) (*.f64 #s(literal -8 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (+.f64 (*.f64 z (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -8 binary64)) (*.f64 #s(literal -8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 #s(literal -8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))) #s(literal 16 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 8 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal 8 binary64)) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -2 binary64)) (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))) #s(literal -16 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (/.f64 #s(literal -8 binary64) z)) (*.f64 (/.f64 #s(literal -8 binary64) z) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -8 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (*.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -2 binary64)))
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(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (/.f64 z #s(literal 8 binary64)))
(neg.f64 (*.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 z #s(literal -8 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
(pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (/.f64 z #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1/8 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z #s(literal -8 binary64)))
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 z #s(literal 8 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1/2 binary64)))

simplify167.0ms (3.7%)

Algorithm
egg-herbie
Rules
2658×*-lowering-*.f32
2658×*-lowering-*.f64
1684×fmsub-define
1530×fmm-def
1086×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040553
1126553
2393553
3986553
42505553
55225553
08072553
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)

eval35.0ms (0.8%)

Compiler

Compiled 4882 to 525 computations (89.2% saved)

prune54.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3252327
Fresh000
Picked123
Done011
Total3265331
Accuracy
100.0%
Counts
331 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.6%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y)) (/.f64 #s(literal -16 binary64) z))
47.8%
(/.f64 x (/.f64 #s(literal 2 binary64) y))
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
47.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
53.4%
(*.f64 #s(literal -1/8 binary64) z)
Compiler

Compiled 50 to 38 computations (24% saved)

simplify318.0ms (7%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal -8 binary64) z) x)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y)
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y))
cost-diff256
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y)) (/.f64 #s(literal -16 binary64) z))
cost-diff0
(/.f64 #s(literal 2 binary64) y)
cost-diff0
(/.f64 x (/.f64 #s(literal 2 binary64) y))
Rules
4718×associate-/l/
4238×/-lowering-/.f32
4238×/-lowering-/.f64
4192×*-lowering-*.f32
4192×*-lowering-*.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01457
12555
25055
37855
410455
518155
637551
759851
8124751
9295251
10442351
11454151
12458551
13458651
14458651
15485551
16491051
17512451
18512451
19512451
20707951
21749151
22775351
23782951
24783051
25783051
0804251
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ x (/ 2 y))
x
(/ 2 y)
2
y
(/ (+ 2 (* (* (/ -8 z) x) y)) (/ -16 z))
(+ 2 (* (* (/ -8 z) x) y))
2
(* (* (/ -8 z) x) y)
(* (/ -8 z) x)
(/ -8 z)
-8
z
x
y
(/ -16 z)
-16
Outputs
(/ x (/ 2 y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
x
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
(/ (+ 2 (* (* (/ -8 z) x) y)) (/ -16 z))
(+.f64 (*.f64 z #s(literal -1/8 binary64)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(+ 2 (* (* (/ -8 z) x) y))
(+.f64 #s(literal 2 binary64) (*.f64 y (/.f64 (*.f64 x #s(literal -8 binary64)) z)))
2
#s(literal 2 binary64)
(* (* (/ -8 z) x) y)
(*.f64 y (/.f64 (*.f64 x #s(literal -8 binary64)) z))
(* (/ -8 z) x)
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
-8
#s(literal -8 binary64)
z
x
y
(/ -16 z)
(/.f64 #s(literal -16 binary64) z)
-16
#s(literal -16 binary64)

localize89.0ms (2%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y))
accuracy99.7%
(*.f64 (/.f64 #s(literal -8 binary64) z) x)
accuracy94.3%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y)) (/.f64 #s(literal -16 binary64) z))
accuracy93.6%
(*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y)
accuracy100.0%
(/.f64 #s(literal 2 binary64) y)
accuracy99.7%
(/.f64 x (/.f64 #s(literal 2 binary64) y))
Results
71.0ms256×0valid
Compiler

Compiled 61 to 15 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 19.0ms (51.8% of total)
ival-div: 15.0ms (40.9% of total)
ival-add: 1.0ms (2.7% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series104.0ms (2.3%)

Counts
6 → 168
Calls
Call 1
Inputs
#<alt (/ x (/ 2 y))>
#<alt (/ 2 y)>
#<alt (/ (+ 2 (* (* (/ -8 z) x) y)) (/ -16 z))>
#<alt (+ 2 (* (* (/ -8 z) x) y))>
#<alt (* (* (/ -8 z) x) y)>
#<alt (* (/ -8 z) x)>
Outputs
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -8 (/ (* x y) z))>
#<alt (/ (+ (* -8 (* x y)) (* 2 z)) z)>
#<alt (/ (+ (* -8 (* x y)) (* 2 z)) z)>
#<alt (/ (+ (* -8 (* x y)) (* 2 z)) z)>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
#<alt (* -8 (/ x z))>
Calls

42 calls:

TimeVariablePointExpression
90.0ms
z
@0
(/ (+ 2 (* (* (/ -8 z) x) y)) (/ -16 z))
3.0ms
x
@0
(* (/ -8 z) x)
1.0ms
z
@inf
(/ (+ 2 (* (* (/ -8 z) x) y)) (/ -16 z))
1.0ms
x
@0
(/ (+ 2 (* (* (/ -8 z) x) y)) (/ -16 z))
1.0ms
x
@inf
(/ (+ 2 (* (* (/ -8 z) x) y)) (/ -16 z))

rewrite275.0ms (6.1%)

Algorithm
batch-egg-rewrite
Rules
3528×*-lowering-*.f32
3528×*-lowering-*.f64
2452×/-lowering-/.f32
2452×/-lowering-/.f64
1520×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01442
17640
250140
3543540
0819240
Stop Event
iter limit
node limit
Counts
6 → 390
Calls
Call 1
Inputs
(/ x (/ 2 y))
(/ 2 y)
(/ (+ 2 (* (* (/ -8 z) x) y)) (/ -16 z))
(+ 2 (* (* (/ -8 z) x) y))
(* (* (/ -8 z) x) y)
(* (/ -8 z) x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) y)) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(*.f64 (/.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) y)
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(*.f64 (/.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) y)
(*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) y))
(neg.f64 (/.f64 #s(literal -2 binary64) y))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) y)
(/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y #s(literal -2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 z #s(literal -16 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 z #s(literal -16 binary64)) (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64))))))
(+.f64 (*.f64 (/.f64 z #s(literal -16 binary64)) (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64))))) (*.f64 (/.f64 z #s(literal -16 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 z #s(literal -16 binary64))) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (/.f64 z #s(literal -16 binary64))))
(+.f64 (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (/.f64 z #s(literal -16 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 z #s(literal -16 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 16 binary64) z) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z))) #s(literal -16 binary64)) z))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z)))) (/.f64 #s(literal -16 binary64) z)) (/.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z)))) (/.f64 #s(literal -16 binary64) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 16 binary64) z)) (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z))) #s(literal -16 binary64)) z))
(-.f64 (/.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z))) (/.f64 z #s(literal -16 binary64)))) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z))) (/.f64 z #s(literal -16 binary64)))))
(neg.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z))) #s(literal -16 binary64)) z))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z))) #s(literal -16 binary64)) z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 16 binary64) z) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z))))))
(/.f64 z (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z)))))
(/.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z)))) #s(literal -16 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64))))) (/.f64 #s(literal -16 binary64) z))
(/.f64 (/.f64 z (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z))) (/.f64 #s(literal 16 binary64) z))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))))) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64)))) (/.f64 z #s(literal -16 binary64))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64))))) (/.f64 #s(literal 16 binary64) z)))
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(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64))))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 (+.f64 #s(literal -8 binary64) (neg.f64 (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64)))))))
(*.f64 (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z)))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)))))
(*.f64 (+.f64 (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))))) (+.f64 #s(literal 2 binary64) (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))) (*.f64 (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64)) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64))) (-.f64 (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z))) (*.f64 (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64)) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z)) (+.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) #s(literal -2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)))) (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x y) z) (/.f64 (*.f64 x y) z)))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))) (+.f64 #s(literal 2 binary64) (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64))))))))
(neg.f64 (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) z)))
(/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y (*.f64 x #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 8 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(literal -8 binary64)) (*.f64 x y)))
(/.f64 (*.f64 x y) (/.f64 z #s(literal -8 binary64)))
(/.f64 (/.f64 (*.f64 x y) z) #s(literal -1/8 binary64))
(/.f64 (*.f64 y (*.f64 x #s(literal -8 binary64))) z)
(/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (neg.f64 (*.f64 y (*.f64 x #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y))) z)
(/.f64 (*.f64 y (*.f64 x #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) #s(literal -1 binary64)) z)
(*.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)))
(*.f64 y (*.f64 x (/.f64 #s(literal -8 binary64) z)))
(*.f64 #s(literal -8 binary64) (/.f64 (*.f64 x y) z))
(*.f64 (/.f64 #s(literal -8 binary64) z) (*.f64 x y))
(*.f64 (*.f64 x (/.f64 #s(literal -8 binary64) z)) y)
(*.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x y)))
(*.f64 #s(literal 8 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) z)))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z (*.f64 x #s(literal -8 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 x #s(literal -8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) #s(literal -1/8 binary64)))
(*.f64 (*.f64 x y) (/.f64 #s(literal -8 binary64) z))
(*.f64 (*.f64 x #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 (*.f64 x #s(literal -8 binary64)) (/.f64 y z))
(*.f64 (/.f64 (*.f64 x y) z) #s(literal -8 binary64))
(*.f64 (*.f64 y (/.f64 #s(literal -8 binary64) z)) x)
(*.f64 (*.f64 y (*.f64 x #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 y #s(literal -8 binary64)) (/.f64 x z))
(*.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) z)) #s(literal 8 binary64))
(*.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -8 binary64) z))
(neg.f64 (/.f64 (*.f64 x #s(literal 8 binary64)) z))
(/.f64 x (/.f64 z #s(literal -8 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x #s(literal -8 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x #s(literal -8 binary64)))))
(/.f64 (*.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 x z) #s(literal -1/8 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal -8 binary64)) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (*.f64 x #s(literal 8 binary64))) z)
(/.f64 (*.f64 (*.f64 x #s(literal -8 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (*.f64 x #s(literal 8 binary64)) #s(literal -1 binary64)) z)
(pow.f64 (/.f64 z (*.f64 x #s(literal -8 binary64))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -8 binary64) z))
(*.f64 #s(literal -8 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal -8 binary64) z) x)
(*.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) x))
(*.f64 #s(literal 8 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -8 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal -8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x #s(literal -1/8 binary64)))
(*.f64 (*.f64 x #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x #s(literal 8 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x z) #s(literal -8 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal -8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 8 binary64) z))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal 8 binary64))

simplify224.0ms (4.9%)

Algorithm
egg-herbie
Rules
2416×*-lowering-*.f32
2416×*-lowering-*.f64
1686×fmm-def
1670×fma-lowering-fma.f32
1670×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711066
12241042
26401042
316311042
435311042
568491042
080131042
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -8 (/ (* x y) z))
(/ (+ (* -8 (* x y)) (* 2 z)) z)
(/ (+ (* -8 (* x y)) (* 2 z)) z)
(/ (+ (* -8 (* x y)) (* 2 z)) z)
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(* -8 (/ (* x y) z))
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(* -8 (/ (* x y) z))
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(* -8 (/ (* x y) z))
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(* -8 (/ (* x y) z))
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
(* -8 (/ x z))
Outputs
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal -1/8 binary64) z))
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(/ (+ (* -8 (* x y)) (* 2 z)) z)
(/.f64 (+.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) (*.f64 #s(literal 2 binary64) z)) z)
(/ (+ (* -8 (* x y)) (* 2 z)) z)
(/.f64 (+.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) (*.f64 #s(literal 2 binary64) z)) z)
(/ (+ (* -8 (* x y)) (* 2 z)) z)
(/.f64 (+.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) (*.f64 #s(literal 2 binary64) z)) z)
2
#s(literal 2 binary64)
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x y) z) #s(literal 8 binary64)))
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ (* x y) z))
(/.f64 (*.f64 x (*.f64 y #s(literal -8 binary64))) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)
(* -8 (/ x z))
(/.f64 (*.f64 x #s(literal -8 binary64)) z)

eval66.0ms (1.4%)

Compiler

Compiled 12366 to 1067 computations (91.4% saved)

prune57.0ms (1.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New5580558
Fresh000
Picked022
Done033
Total5585563
Accuracy
100.0%
Counts
563 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.6%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y)) (/.f64 #s(literal -16 binary64) z))
47.8%
(/.f64 x (/.f64 #s(literal 2 binary64) y))
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
47.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
53.4%
(*.f64 #s(literal -1/8 binary64) z)
Compiler

Compiled 96 to 64 computations (33.3% saved)

regimes38.0ms (0.8%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y)) (/.f64 #s(literal -16 binary64) z))
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
Outputs
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
Calls

7 calls:

22.0ms
y
3.0ms
(/.f64 z #s(literal 8 binary64))
3.0ms
x
3.0ms
(/.f64 (*.f64 x y) #s(literal 2 binary64))
3.0ms
z
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes18.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -8 binary64) z) x) y)) (/.f64 #s(literal -16 binary64) z))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Calls

7 calls:

3.0ms
z
2.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms
y
2.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes9.0ms (0.2%)

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

4 calls:

3.0ms
x
2.0ms
z
2.0ms
y
2.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
74.3%3x
74.9%3y
70.2%3z
81.2%3(*.f64 x y)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
53.4%1z
53.4%1x
53.4%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.007515005626046e+73
6.689013483560773e+73
0.0ms
-2.4610260457068906e+155
-7.753442079126897e+138
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify41.0ms (0.9%)

Algorithm
egg-herbie
Rules
12×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02341
13141
24041
34641
45141
55341
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 (*.f64 x y) #s(literal -200000000000000001435246308182033660816122962378320623613425544292501323360976680256533213969152378660773147626593524272520163068458938451905467307354226688 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 65000000000000001251103442442491463310430055267325172130333243971196682240 binary64)) (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(*.f64 #s(literal -1/8 binary64) z)
Outputs
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 (*.f64 x y) #s(literal -200000000000000001435246308182033660816122962378320623613425544292501323360976680256533213969152378660773147626593524272520163068458938451905467307354226688 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 65000000000000001251103442442491463310430055267325172130333243971196682240 binary64)) (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(if (<=.f64 (*.f64 y x) #s(literal -200000000000000001435246308182033660816122962378320623613425544292501323360976680256533213969152378660773147626593524272520163068458938451905467307354226688 binary64)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (if (<=.f64 (*.f64 y x) #s(literal 65000000000000001251103442442491463310430055267325172130333243971196682240 binary64)) (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))

soundness685.0ms (15.1%)

Rules
4654×*-lowering-*.f32
4654×*-lowering-*.f64
3062×/-lowering-/.f32
3062×/-lowering-/.f64
1994×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042481
1132481
2400481
31073481
42981481
55790481
08068481
0920
15219
251519
0905119
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 79 to 47 computations (40.5% saved)

preprocess34.0ms (0.8%)

Remove

(sort x y)

Compiler

Compiled 186 to 112 computations (39.8% saved)

end0.0ms (0%)

Profiling

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