Diagrams.Color.HSV:lerp from diagrams-contrib-1.3.0.5

Time bar (total: 8.2s)

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
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 11 to 10 computations (9.1% saved)

sample615.0ms (7.5%)

Memory
-7.3MiB live, 1 112.1MiB allocated
Samples
413.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-mult: 105.0ms (48.3% of total)
ival-sub: 62.0ms (28.5% of total)
ival-add: 37.0ms (17% of total)
ival-true: 6.0ms (2.8% of total)
exact: 4.0ms (1.8% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess105.0ms (1.3%)

Memory
2.1MiB live, 75.0MiB allocated
Algorithm
egg-herbie
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
392×distribute-rgt-in
374×unsub-neg
308×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03399
18290
218990
355375
4118471
5197670
6234670
7238670
8239070
9239070
089
1159
2259
3489
41038
51517
62427
73947
85547
96277
106297
06296
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (* (- 1 x) y) (* x z))
Outputs
(+ (* (- 1 x) y) (* x z))
(fma.f64 x (-.f64 z y) y)
Call 2
Inputs
(+ (* (- 1 x) y) (* x z))
(+ (* (- 1 (neg x)) y) (* (neg x) z))
(+ (* (- 1 x) (neg y)) (* x z))
(+ (* (- 1 x) y) (* x (neg z)))
(neg (+ (* (- 1 (neg x)) y) (* (neg x) z)))
(neg (+ (* (- 1 x) (neg y)) (* x z)))
(neg (+ (* (- 1 x) y) (* x (neg z))))
(+ (* (- 1 y) x) (* y z))
(+ (* (- 1 z) y) (* z x))
(+ (* (- 1 x) z) (* x y))
Outputs
(+ (* (- 1 x) y) (* x z))
(+ y (* x (- z y)))
(+ (* (- 1 (neg x)) y) (* (neg x) z))
(+ y (* x (- y z)))
(+ (* (- 1 x) (neg y)) (* x z))
(- (* x (+ y z)) y)
(+ (* (- 1 x) y) (* x (neg z)))
(- y (* x (+ y z)))
(neg (+ (* (- 1 (neg x)) y) (* (neg x) z)))
(- (* x (- z y)) y)
(neg (+ (* (- 1 x) (neg y)) (* x z)))
(- y (* x (+ y z)))
(neg (+ (* (- 1 x) y) (* x (neg z))))
(- (* x (+ y z)) y)
(+ (* (- 1 y) x) (* y z))
(+ x (* y (- z x)))
(+ (* (- 1 z) y) (* z x))
(+ y (* z (- x y)))
(+ (* (- 1 x) z) (* x y))
(+ z (* x (- y z)))

explain89.0ms (1.1%)

Memory
32.5MiB live, 114.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
00-0-y
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) y)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))nan-rescue50
(*.f64 (-.f64 #s(literal 1 binary64) x) y)overflow34
(*.f64 x z)overflow28
Confusion
Predicted +Predicted -
+50
-0251
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-00251
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (55.5% of total)
ival-sub: 3.0ms (23.8% of total)
ival-add: 2.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify36.0ms (0.4%)

Memory
2.3MiB live, 38.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 x z)
cost-diff-64
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff576
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
152×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11524
22524
34824
410323
515122
624222
739422
855422
962722
1062922
062921
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (- 1 x) y) (* x z))
(* (- 1 x) y)
(- 1 x)
1
x
y
(* x z)
z
Outputs
(+ (* (- 1 x) y) (* x z))
(fma.f64 x (-.f64 z y) y)
(* (- 1 x) y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) y #s(literal 0 binary64))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
y
(* x z)
(fma.f64 x z #s(literal 0 binary64))
z

localize31.0ms (0.4%)

Memory
-27.4MiB live, 47.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy100.0%
(*.f64 x z)
accuracy98.0%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Samples
14.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (48.8% of total)
ival-sub: 1.0ms (16.3% of total)
ival-add: 1.0ms (16.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (* (- 1 x) y) (* x z))>
#<alt (- 1 x)>
#<alt (* (- 1 x) y)>
#<alt (* x z)>
Outputs
#<alt y>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ y (* -1 z))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* x z)>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (* y (- 1 x))>
#<alt (* y (- (+ 1 (/ (* x z) y)) x))>
#<alt (* y (- (+ 1 (/ (* x z) y)) x))>
#<alt (* y (- (+ 1 (/ (* x z) y)) x))>
#<alt (* y (- 1 x))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))>
#<alt (* y (- 1 x))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* y (- 1 x)) z)))>
#<alt (* z (+ x (/ (* y (- 1 x)) z)))>
#<alt (* z (+ x (/ (* y (- 1 x)) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt y>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
Calls

24 calls:

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

rewrite923.0ms (11.2%)

Memory
8.4MiB live, 802.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 442×accelerator-lowering-fma.f32
9 442×accelerator-lowering-fma.f64
7 738×*-lowering-*.f32
7 738×*-lowering-*.f64
4 066×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
14020
230920
3372320
01249619
Stop Event
iter limit
node limit
Counts
4 → 284
Calls
Call 1
Inputs
(+ (* (- 1 x) y) (* x z))
(- 1 x)
(* (- 1 x) y)
(* x z)
Outputs
(+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (fma.f64 x z y) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 x z (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 x z (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (*.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (pow.f64 z #s(literal 1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (exp.f64 (log.f64 z)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 y #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (*.f64 x z))
(fma.f64 y (/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 z x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y) (*.f64 x z))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x z))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y) (*.f64 x z))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(fma.f64 (+.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 y (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x z))
(fma.f64 (*.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 z #s(literal 1 binary64)) x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
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simplify421.0ms (5.1%)

Memory
13.1MiB live, 329.2MiB allocated
Algorithm
egg-herbie
Rules
7 472×accelerator-lowering-fma.f32
7 472×accelerator-lowering-fma.f64
2 438×*-lowering-*.f32
2 438×*-lowering-*.f64
1 490×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057471
1192442
2558442
31391442
43878442
56295442
08006415
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* x z)
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* y (- 1 x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* y (- 1 x))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* x z)
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
Outputs
y
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 x (-.f64 z y) y)
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 x (-.f64 z y) y)
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 x (-.f64 z y) y)
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(fma.f64 x (-.f64 z y) y)
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (/ (* y (- 1 x)) z)))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (/ (* y (- 1 x)) z)))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (/ (* y (- 1 x)) z)))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(fma.f64 x (-.f64 z y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
y
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(* x (+ (* -1 y) (/ y x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x (+ (* -1 y) (/ y x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x (+ (* -1 y) (/ y x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(* -1 (* x (+ y (* -1 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))

eval90.0ms (1.1%)

Memory
-0.8MiB live, 81.5MiB allocated
Compiler

Compiled 10 111 to 907 computations (91% saved)

prune63.0ms (0.8%)

Memory
-26.8MiB live, 93.9MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3755380
Fresh000
Picked011
Done000
Total3756381
Accuracy
100.0%
Counts
381 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x (-.f64 z y) y)
39.7%
(fma.f64 x z #s(literal 0 binary64))
98.0%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
98.8%
(+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
70.5%
(+.f64 y (*.f64 x z))
33.3%
y
Compiler

Compiled 94 to 60 computations (36.2% saved)

simplify31.0ms (0.4%)

Memory
32.6MiB live, 32.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 x z)
cost-diff0
(-.f64 #s(literal 0 binary64) x)
cost-diff192
(+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
cost-diff384
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z))
cost-diff-64
(*.f64 x z)
cost-diff192
(+.f64 y (*.f64 x z))
cost-diff0
(fma.f64 x z #s(literal 0 binary64))
cost-diff0
(-.f64 z y)
cost-diff0
(fma.f64 x (-.f64 z y) y)
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
152×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
12955
27152
310652
417552
530152
644652
754952
866652
968052
068049
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x (- z y)) y)
x
(- z y)
z
y
y
(+ (* x z) 0)
x
z
0
(+ y (* x z))
y
(* x z)
x
z
(+ y (+ (* y (- 0 x)) (* x z)))
y
(+ (* y (- 0 x)) (* x z))
(- 0 x)
0
x
(* x z)
z
Outputs
(+ (* x (- z y)) y)
(fma.f64 x (-.f64 z y) y)
x
(- z y)
(-.f64 z y)
z
y
y
(+ (* x z) 0)
(fma.f64 x z #s(literal 0 binary64))
x
z
0
#s(literal 0 binary64)
(+ y (* x z))
(fma.f64 x z y)
y
(* x z)
(fma.f64 x z #s(literal 0 binary64))
x
z
(+ y (+ (* y (- 0 x)) (* x z)))
(fma.f64 x (-.f64 z y) y)
y
(+ (* y (- 0 x)) (* x z))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(* x z)
(fma.f64 x z #s(literal 0 binary64))
z

localize49.0ms (0.6%)

Memory
1.3MiB live, 76.9MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
accuracy100.0%
(+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
accuracy100.0%
(*.f64 x z)
accuracy98.8%
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(+.f64 y (*.f64 x z))
accuracy100.0%
(fma.f64 x z #s(literal 0 binary64))
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(fma.f64 x (-.f64 z y) y)
Samples
33.0ms256×0valid
Compiler

Compiled 61 to 16 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 11.0ms (56.7% of total)
ival-add: 5.0ms (25.8% of total)
ival-sub: 3.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-18.2MiB live, 19.3MiB allocated
Counts
8 → 228
Calls
Call 1
Inputs
#<alt (+ (* x (- z y)) y)>
#<alt (- z y)>
#<alt (+ (* x z) 0)>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (+ (* y (- 0 x)) (* x z))>
#<alt (+ y (+ (* y (- 0 x)) (* x z)))>
#<alt (- 0 x)>
Outputs
#<alt y>
#<alt (+ y (* x (- z y)))>
#<alt (+ y (* x (- z y)))>
#<alt (+ y (* x (- z y)))>
#<alt (* x (- z y))>
#<alt (* x (- (+ z (/ y x)) y))>
#<alt (* x (- (+ z (/ y x)) y))>
#<alt (* x (- (+ z (/ y x)) y))>
#<alt (* x (- z y))>
#<alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (* x z)>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* x z)>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (- x 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt z>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt y>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (* x z) y)))>
#<alt (* y (+ (* -1 x) (/ (* x z) y)))>
#<alt (* y (+ (* -1 x) (/ (* x z) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x z) y)))))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* -1 (* x (+ y (* -1 z))))>
#<alt (* -1 (* x (+ y (* -1 z))))>
#<alt (* -1 (* x (+ y (* -1 z))))>
#<alt (* -1 (* x (+ y (* -1 z))))>
#<alt (* -1 (* x y))>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (* -1 (/ (* x y) z))))>
#<alt (* z (+ x (* -1 (/ (* x y) z))))>
#<alt (* z (+ x (* -1 (/ (* x y) z))))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (/ (* x y) z))))>
#<alt (* -1 (* z (+ (* -1 x) (/ (* x y) z))))>
#<alt (* -1 (* z (+ (* -1 x) (/ (* x y) z))))>
#<alt (* x z)>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (- x 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt y>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ y (* -1 z))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (* x z)>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

57 calls:

TimeVariablePointExpression
5.0ms
y
@0
(+ (* y (- 0 x)) (* x z))
1.0ms
x
@0
(+ (* y (- 0 x)) (* x z))
0.0ms
x
@-inf
(+ (* x (- z y)) y)
0.0ms
z
@-inf
(+ (* x (- z y)) y)
0.0ms
z
@inf
(+ (* x (- z y)) y)

rewrite875.0ms (10.7%)

Memory
-20.8MiB live, 883.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 438×accelerator-lowering-fma.f32
9 438×accelerator-lowering-fma.f64
3 796×/-lowering-/.f32
3 796×/-lowering-/.f64
3 484×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
110238
2105635
0872332
Stop Event
iter limit
node limit
Counts
8 → 1 228
Calls
Call 1
Inputs
(+ (* x (- z y)) y)
(- z y)
(+ (* x z) 0)
(+ y (* x z))
(* x z)
(+ (* y (- 0 x)) (* x z))
(+ y (+ (* y (- 0 x)) (* x z)))
(- 0 x)
Outputs
(+.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))
(+.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 y (*.f64 x y)))
(+.f64 (fma.f64 x z y) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (fma.f64 x z y))
(+.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) y)
(+.f64 (fma.f64 x (-.f64 z y) y) #s(literal 0 binary64))
(+.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64))))))
(+.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))))
(-.f64 (fma.f64 x z y) (*.f64 x y))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (/.f64 (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y))) (-.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))))
(fma.f64 x z (-.f64 y (*.f64 x y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 #s(literal 0 binary64) y) (fma.f64 x z y))
(fma.f64 x (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z z)) (-.f64 y (*.f64 x y)))
(fma.f64 x (/.f64 (*.f64 z z) z) (-.f64 y (*.f64 x y)))
(fma.f64 z x (-.f64 y (*.f64 x y)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 x z y))
(fma.f64 (-.f64 z y) x y)
(fma.f64 (fma.f64 x z #s(literal 0 binary64)) (/.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64))) (-.f64 y (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (fma.f64 x z y))
(fma.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 y (*.f64 x y)))
(fma.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x z #s(literal 0 binary64))) (-.f64 y (*.f64 x y)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (-.f64 z y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (*.f64 y (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64))))))
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))))) y)
(fma.f64 (*.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) y)
(fma.f64 (*.f64 (fma.f64 y y (*.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y))) (fma.f64 x z y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y)))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (fma.f64 y y (*.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y))) (fma.f64 x z y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) (fma.f64 y y (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y))
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (neg.f64 (fma.f64 x y (fma.f64 x z #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x y (fma.f64 x z #s(literal 0 binary64)))) y)
(fma.f64 (*.f64 (fma.f64 x z y) (-.f64 y (fma.f64 x z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 x z #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (-.f64 z y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (*.f64 y (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64))))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (-.f64 z y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))))) y)
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x y (fma.f64 x z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 x z #s(literal 0 binary64)))) y)
(fma.f64 (*.f64 (fma.f64 y y (*.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y))) (neg.f64 (fma.f64 x z y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y))))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (fma.f64 x z y) (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 x z #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 x z #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 y (*.f64 x y)))
(fma.f64 (fma.f64 (-.f64 y (*.f64 x y)) (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y))) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y)) (-.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y)))))) (fma.f64 x z #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x z #s(literal 0 binary64)) (-.f64 y (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x z y) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) y)
(fma.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z #s(literal 0 binary64))) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 y (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))) (-.f64 y (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (fma.f64 x z y))
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (-.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 y (*.f64 x y)) (+.f64 y (*.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x y))) (fma.f64 x z #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x z (*.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x z (*.f64 x y))) y)
(fma.f64 (*.f64 (fma.f64 x z y) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x z #s(literal 0 binary64)) y)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) y (fma.f64 x z #s(literal 0 binary64)))
(fma.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x z y))
(fma.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x) (fma.f64 x z y))
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(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (-.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64))))) (neg.f64 (-.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 y (*.f64 x y)) (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y))))) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) (-.f64 (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y))) (*.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 y (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 (fma.f64 x z y) (fma.f64 x z y) (-.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x z y) (-.f64 #s(literal 0 binary64) (*.f64 x y))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (fma.f64 x z y) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (fma.f64 x z y)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (-.f64 z y) y) (fma.f64 x (-.f64 z y) y) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (-.f64 z y) y) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (*.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))))))
(/.f64 (-.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y)))) (-.f64 (fma.f64 x z #s(literal 0 binary64)) (-.f64 y (*.f64 x y))))
(/.f64 (-.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 (fma.f64 x z y) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x z y) (fma.f64 x z y))) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (fma.f64 x z y)))
(/.f64 (-.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (fma.f64 x (-.f64 z y) y)) #s(literal 0 binary64)) (-.f64 (fma.f64 x (-.f64 z y) y) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64))))) (*.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))) (*.f64 (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))))) (+.f64 (/.f64 (*.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 y y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) y)) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y))))
(*.f64 (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (-.f64 z y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (*.f64 y (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))))
(*.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x (-.f64 z y) #s(literal 0 binary64)) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)) (*.f64 y y)) (fma.f64 x (-.f64 z y) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (-.f64 z y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64))) (*.f64 y (-.f64 y (fma.f64 x (-.f64 z y) #s(literal 0 binary64))))))))
(*.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x (-.f64 z y) #s(literal 0 binary64)))))
(*.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 z y) (-.f64 #s(literal 0 binary64) y)))))
(*.f64 (fma.f64 (-.f64 y (*.f64 x y)) (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y))) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y)) (-.f64 (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) y))
(*.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (-.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y (*.f64 x y)) (fma.f64 x z #s(literal 0 binary64)))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1 binary64) x)

simplify342.0ms (4.2%)

Memory
-3.2MiB live, 508.8MiB allocated
Algorithm
egg-herbie
Rules
7 574×accelerator-lowering-fma.f32
7 574×accelerator-lowering-fma.f64
2 820×*-lowering-*.f32
2 820×*-lowering-*.f64
1 736×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01001010
13441004
29531004
323731004
444901004
562271004
675381004
08032923
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
y
(+ y (* x (- z y)))
(+ y (* x (- z y)))
(+ y (* x (- z y)))
(* x (- z y))
(* x (- (+ z (/ y x)) y))
(* x (- (+ z (/ y x)) y))
(* x (- (+ z (/ y x)) y))
(* x (- z y))
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(+ y (* -1 (* x y)))
(+ y (+ (* -1 (* x y)) (* x z)))
(+ y (+ (* -1 (* x y)) (* x z)))
(+ y (+ (* -1 (* x y)) (* x z)))
(* x z)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* x z)
(+ (* x z) (* y (+ 1 (* -1 x))))
(+ (* x z) (* y (+ 1 (* -1 x))))
(+ (* x z) (* y (+ 1 (* -1 x))))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (- x 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 y)
(- z y)
(- z y)
(- z y)
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
(* -1 y)
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
y
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x z) y)))
(* y (+ (* -1 x) (/ (* x z) y)))
(* y (+ (* -1 x) (/ (* x z) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* x (+ z (* -1 y)))
(* x (+ z (* -1 y)))
(* x (+ z (* -1 y)))
(* x (+ z (* -1 y)))
(* x (+ z (* -1 y)))
(* x (+ z (* -1 y)))
(* x (+ z (* -1 y)))
(* x (+ z (* -1 y)))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(* x z)
(* z (+ x (* -1 (/ (* x y) z))))
(* z (+ x (* -1 (/ (* x y) z))))
(* z (+ x (* -1 (/ (* x y) z))))
(* x z)
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(* x z)
(+ (* x z) (* y (+ 1 (* -1 x))))
(+ (* x z) (* y (+ 1 (* -1 x))))
(+ (* x z) (* y (+ 1 (* -1 x))))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (- x 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(+ y (* -1 (* x y)))
(+ y (+ (* -1 (* x y)) (* x z)))
(+ y (+ (* -1 (* x y)) (* x z)))
(+ y (+ (* -1 (* x y)) (* x z)))
(* x z)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
y
(+ y (* x (- z y)))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (- z y)))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (- z y)))
(fma.f64 x (-.f64 z y) y)
(* x (- z y))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (- (+ z (/ y x)) y))
(fma.f64 x (-.f64 z y) y)
(* x (- (+ z (/ y x)) y))
(fma.f64 x (-.f64 z y) y)
(* x (- (+ z (/ y x)) y))
(fma.f64 x (-.f64 z y) y)
(* x (- z y))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(fma.f64 x (-.f64 z y) y)
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (* -1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- x 1)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
z
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
z
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
z
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
y
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ (* -1 (* x y)) (* x z))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* x z))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* x z))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(* y (+ (* -1 x) (/ (* x z) y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* y (+ (* -1 x) (/ (* x z) y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* y (+ (* -1 x) (/ (* x z) y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(+ (* -1 (* x y)) (* x z))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* x z))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* x z))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (* -1 (/ (* x y) z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* z (+ x (* -1 (/ (* x y) z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* z (+ x (* -1 (/ (* x y) z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (* -1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- x 1)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
y
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval369.0ms (4.5%)

Memory
56.8MiB live, 355.9MiB allocated
Compiler

Compiled 44 296 to 2 342 computations (94.7% saved)

prune180.0ms (2.2%)

Memory
-25.2MiB live, 465.7MiB allocated
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1 63841 642
Fresh000
Picked325
Done101
Total1 64261 648
Accuracy
100.0%
Counts
1 648 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y))
99.2%
(fma.f64 z x (-.f64 y (*.f64 x y)))
70.5%
(fma.f64 z x y)
100.0%
(fma.f64 x (-.f64 z y) y)
39.7%
(*.f64 z x)
33.3%
y
Compiler

Compiled 49 to 29 computations (40.8% saved)

simplify32.0ms (0.4%)

Memory
-21.9MiB live, 59.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x z y)
cost-diff0
(-.f64 #s(literal 0 binary64) y)
cost-diff384
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y))
cost-diff-64
(*.f64 x y)
cost-diff0
(-.f64 y (*.f64 x y))
cost-diff384
(fma.f64 z x (-.f64 y (*.f64 x y)))
cost-diff0
(fma.f64 z x y)
cost-diff-64
(*.f64 z x)
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
152×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01453
13351
26749
312149
419949
535149
654449
764649
866249
066245
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* z x)
z
x
(+ (* z x) y)
z
x
y
(+ (* z x) (- y (* x y)))
z
x
(- y (* x y))
y
(* x y)
(+ (* (- 0 y) x) (+ (* x z) y))
(- 0 y)
0
y
x
(+ (* x z) y)
z
Outputs
(* z x)
(fma.f64 z x #s(literal 0 binary64))
z
x
(+ (* z x) y)
(fma.f64 z x y)
z
x
y
(+ (* z x) (- y (* x y)))
(fma.f64 x (-.f64 z y) y)
z
x
(- y (* x y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
y
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* (- 0 y) x) (+ (* x z) y))
(fma.f64 x (-.f64 z y) y)
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
x
(+ (* x z) y)
(fma.f64 z x y)
z

localize43.0ms (0.5%)

Memory
27.7MiB live, 67.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x z y)
accuracy100.0%
(-.f64 #s(literal 0 binary64) y)
accuracy98.8%
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(-.f64 y (*.f64 x y))
accuracy99.2%
(fma.f64 z x (-.f64 y (*.f64 x y)))
accuracy100.0%
(fma.f64 z x y)
accuracy100.0%
(*.f64 z x)
Samples
28.0ms256×0valid
Compiler

Compiled 53 to 16 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (46.6% of total)
ival-add: 4.0ms (31.1% of total)
ival-sub: 2.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
8 → 228
Calls
Call 1
Inputs
#<alt (* z x)>
#<alt (+ (* z x) y)>
#<alt (+ (* z x) (- y (* x y)))>
#<alt (- y (* x y))>
#<alt (* x y)>
#<alt (+ (* (- 0 y) x) (+ (* x z) y))>
#<alt (- 0 y)>
#<alt (+ (* x z) y)>
Outputs
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* x z)>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt y>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (- y (* x y))>
#<alt (- (+ y (* x z)) (* x y))>
#<alt (- (+ y (* x z)) (* x y))>
#<alt (- (+ y (* x z)) (* x y))>
#<alt (* x z)>
#<alt (* z (- (+ x (/ y z)) (/ (* x y) z)))>
#<alt (* z (- (+ x (/ y z)) (/ (* x y) z)))>
#<alt (* z (- (+ x (/ y z)) (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z)))))>
#<alt y>
#<alt (+ y (* x (- z y)))>
#<alt (+ y (* x (- z y)))>
#<alt (+ y (* x (- z y)))>
#<alt (* x (- z y))>
#<alt (* x (- (+ z (/ y x)) y))>
#<alt (* x (- (+ z (/ y x)) y))>
#<alt (* x (- (+ z (/ y x)) y))>
#<alt (* -1 (* x (- (* -1 z) (* -1 y))))>
#<alt (* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y))))>
#<alt (* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y))))>
#<alt (* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y))))>
#<alt (* x z)>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (* y (- 1 x))>
#<alt (* y (- (+ 1 (/ (* x z) y)) x))>
#<alt (* y (- (+ 1 (/ (* x z) y)) x))>
#<alt (* y (- (+ 1 (/ (* x z) y)) x))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x)))))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt y>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ y x) y))>
#<alt (* x (- (/ y x) y))>
#<alt (* x (- (/ y x) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 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 (* x z)>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (- x 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt y>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ y (* -1 z))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (* x z)>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* x z)>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt y>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
Calls

57 calls:

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

rewrite655.0ms (8%)

Memory
-16.8MiB live, 1 064.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
15 980×accelerator-lowering-fma.f32
15 980×accelerator-lowering-fma.f64
5 228×*-lowering-*.f32
5 228×*-lowering-*.f64
2 998×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01441
110139
284237
0903633
Stop Event
iter limit
node limit
Counts
8 → 722
Calls
Call 1
Inputs
(* z x)
(+ (* z x) y)
(+ (* z x) (- y (* x y)))
(- y (* x y))
(* x y)
(+ (* (- 0 y) x) (+ (* x z) y))
(- 0 y)
(+ (* x z) y)
Outputs
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) y)
(+.f64 y (*.f64 z x))
(+.f64 y (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(+.f64 #s(literal 0 binary64) (fma.f64 z x y))
(+.f64 (fma.f64 z x y) #s(literal 0 binary64))
(+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y))))
(+.f64 (fma.f64 z x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y)))
(-.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 y (*.f64 z x))) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 y (*.f64 z x))))
(fma.f64 z x y)
(fma.f64 x z y)
(fma.f64 y (/.f64 y y) (*.f64 z x))
(fma.f64 y (/.f64 y y) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (fma.f64 z x y) (*.f64 (-.f64 (*.f64 z x) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y))) #s(literal 0 binary64))
(fma.f64 (*.f64 z (*.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 z x) y))))
(fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 z x))
(fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 z x))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (fma.f64 z x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 z x))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 z x y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 z x y) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 z x))) #s(literal 0 binary64))
(fma.f64 (/.f64 y y) y (*.f64 z x))
(fma.f64 (/.f64 y y) y (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (*.f64 z x))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z x y)))
(/.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))))
(/.f64 (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)) (-.f64 (*.f64 z x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y))) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)))))
(/.f64 (*.f64 (fma.f64 z x y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 z x)) (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x y))))
(/.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x))) (-.f64 y (*.f64 z x)))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 (*.f64 z x) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (-.f64 (*.f64 z x) y) (-.f64 (*.f64 z x) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 z x)) (*.f64 z (*.f64 z (*.f64 x x)))))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x)))) (neg.f64 (-.f64 y (*.f64 z x))))
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(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
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(/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y))
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(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
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(fma.f64 z x y)
(fma.f64 x z y)
(fma.f64 y (/.f64 y y) (*.f64 z x))
(fma.f64 y (/.f64 y y) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
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(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 z x))
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(fma.f64 (*.f64 (fma.f64 z x y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 z x y) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 z x))) #s(literal 0 binary64))
(fma.f64 (/.f64 y y) y (*.f64 z x))
(fma.f64 (/.f64 y y) y (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (*.f64 z x))
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(/.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 z x y)) (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z x y)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x y)) #s(literal 1 binary64)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x y)) #s(literal -1 binary64))
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(*.f64 (*.f64 (fma.f64 z x y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)))
(*.f64 #s(literal 1 binary64) (fma.f64 z x y))
(*.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 z x))))

simplify319.0ms (3.9%)

Memory
8.1MiB live, 473.2MiB allocated
Algorithm
egg-herbie
Rules
6 300×accelerator-lowering-fma.f32
6 300×accelerator-lowering-fma.f64
2 518×*-lowering-*.f32
2 518×*-lowering-*.f64
1 250×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041146
13511038
28341038
321711038
453191038
571101038
08127930
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
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(* x z)
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
y
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
Outputs
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
y
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(- y (* x y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(- (+ y (* x z)) (* x y))
(fma.f64 x (-.f64 z y) y)
(- (+ y (* x z)) (* x y))
(fma.f64 x (-.f64 z y) y)
(- (+ y (* x z)) (* x y))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (- (+ x (/ y z)) (/ (* x y) z)))
(fma.f64 x (-.f64 z y) y)
(* z (- (+ x (/ y z)) (/ (* x y) z)))
(fma.f64 x (-.f64 z y) y)
(* z (- (+ x (/ y z)) (/ (* x y) z)))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y (* x y)) z)))))
(fma.f64 x (-.f64 z y) y)
y
(+ y (* x (- z y)))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (- z y)))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (- z y)))
(fma.f64 x (-.f64 z y) y)
(* x (- z y))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (- (+ z (/ y x)) y))
(fma.f64 x (-.f64 z y) y)
(* x (- (+ z (/ y x)) y))
(fma.f64 x (-.f64 z y) y)
(* x (- (+ z (/ y x)) y))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (- (* -1 z) (* -1 y))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (- (+ (* -1 z) (* -1 (/ y x))) (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 x (-.f64 z y) y)
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 x (-.f64 z y) y)
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (* -1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (* -1 (/ (* x z) y)) (+ 1 (* -1 x)))))
(fma.f64 x (-.f64 z y) y)
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (+ 1 (* -1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (+ 1 (* -1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (+ 1 (* -1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (+ 1 (* -1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
y
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x (- (/ y x) y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x (- (/ y x) y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x (- (/ y x) y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (* -1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- x 1)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
y
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
y
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)

eval159.0ms (1.9%)

Memory
-12.2MiB live, 229.6MiB allocated
Compiler

Compiled 24 450 to 1 179 computations (95.2% saved)

prune78.0ms (1%)

Memory
26.5MiB live, 224.6MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New9491950
Fresh000
Picked224
Done022
Total9515956
Accuracy
100.0%
Counts
956 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (neg.f64 y) x (fma.f64 x z y))
70.5%
(fma.f64 z x y)
100.0%
(fma.f64 x (-.f64 z y) y)
39.7%
(*.f64 z x)
33.3%
y
Compiler

Compiled 37 to 22 computations (40.5% saved)

simplify35.0ms (0.4%)

Memory
-18.8MiB live, 58.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(neg.f64 y)
cost-diff0
(fma.f64 x z y)
cost-diff384
(fma.f64 (neg.f64 y) x (fma.f64 x z y))
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
152×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
12018
24018
37817
413117
524117
638217
755117
862217
963217
063215
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (neg y) x) (+ (* x z) y))
(neg y)
y
x
(+ (* x z) y)
z
Outputs
(+ (* (neg y) x) (+ (* x z) y))
(fma.f64 x (-.f64 z y) y)
(neg y)
(-.f64 #s(literal 0 binary64) y)
y
x
(+ (* x z) y)
(fma.f64 x z y)
z

localize23.0ms (0.3%)

Memory
12.9MiB live, 50.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x z y)
accuracy100.0%
(neg.f64 y)
accuracy98.8%
(fma.f64 (neg.f64 y) x (fma.f64 x z y))
Samples
16.0ms256×0valid
Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (44.5% of total)
ival-add: 2.0ms (29.6% of total)
ival-neg: 1.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
3 → 84
Calls
Call 1
Inputs
#<alt (+ (* (neg y) x) (+ (* x z) y))>
#<alt (+ (* x z) y)>
#<alt (neg y)>
Outputs
#<alt (* x z)>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (- x 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt y>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ y (* -1 z))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (* x z)>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* x z)>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt y>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
Calls

21 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(+ (* (neg y) x) (+ (* x z) y))
0.0ms
y
@0
(+ (* (neg y) x) (+ (* x z) y))
0.0ms
y
@-inf
(+ (* (neg y) x) (+ (* x z) y))
0.0ms
x
@-inf
(+ (* (neg y) x) (+ (* x z) y))
0.0ms
x
@inf
(+ (* (neg y) x) (+ (* x z) y))

rewrite711.0ms (8.7%)

Memory
-124.3MiB live, 834.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 270×accelerator-lowering-fma.f32
8 270×accelerator-lowering-fma.f64
4 748×*-lowering-*.f32
4 748×*-lowering-*.f64
2 618×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
14515
240415
3635315
0822813
Stop Event
iter limit
node limit
Counts
3 → 216
Calls
Call 1
Inputs
(+ (* (neg y) x) (+ (* x z) y))
(+ (* x z) y)
(neg y)
Outputs
(+.f64 y (*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (fma.f64 x z y))
(+.f64 (*.f64 x z) (fma.f64 (-.f64 #s(literal 0 binary64) y) x y))
(+.f64 (fma.f64 x z y) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(+.f64 (*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z)) y)
(+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) x y) (*.f64 x z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y))) #s(literal -1 binary64)))
(-.f64 (fma.f64 x z y) (*.f64 y x))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) (fma.f64 x z y)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y)) (-.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x z) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y)) (fma.f64 y (/.f64 y (-.f64 (*.f64 x z) y)) (*.f64 y x)))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)))
(-.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (+.f64 (fma.f64 x z y) (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (+.f64 (fma.f64 x z y) (*.f64 y x))))
(-.f64 (/.f64 (*.f64 x (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) z) (*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z)))) (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) (-.f64 #s(literal 0 binary64) y))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x z) y)))
(-.f64 (+.f64 (fma.f64 x z y) #s(literal 0 binary64)) (*.f64 y x))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 x z y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) x)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(fma.f64 x (-.f64 #s(literal 0 binary64) y) (fma.f64 x z y))
(fma.f64 x z (fma.f64 (-.f64 #s(literal 0 binary64) y) x y))
(fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y)
(fma.f64 x (/.f64 (*.f64 y (*.f64 y x)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(fma.f64 z x (fma.f64 (-.f64 #s(literal 0 binary64) y) x y))
(fma.f64 (fma.f64 x z y) (*.f64 (-.f64 (*.f64 x z) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) y))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (fma.f64 x z y) (/.f64 (-.f64 (*.f64 x z) y) (-.f64 (*.f64 x z) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(fma.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 x z y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (*.f64 y (*.f64 x (*.f64 y x))) (/.f64 #s(literal -1 binary64) (fma.f64 y x (fma.f64 x z y))) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (fma.f64 x z y))
(fma.f64 (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (fma.f64 x z y))
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (*.f64 (fma.f64 x z y) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x z) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x z) y))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y y #s(literal 0 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 0 binary64) y) x)) (*.f64 y (*.f64 x (*.f64 y x))))) y)
(fma.f64 #s(literal 1 binary64) (fma.f64 x z y) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) y)) (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (*.f64 (fma.f64 x z y) (-.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x z))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z))) y)
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (fma.f64 x z y))
(fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) z) x y)
(fma.f64 (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) y) x)) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(fma.f64 (*.f64 y (*.f64 y x)) (/.f64 x (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(fma.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) y (*.f64 x z))
(fma.f64 (/.f64 (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y)) (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y))) (fma.f64 x z y) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))) (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(fma.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (fma.f64 (fma.f64 x z y) (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))) (fma.f64 (fma.f64 x z y) (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y) (*.f64 y (*.f64 x (*.f64 y x)))) (neg.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 x z y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))))
(fma.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (*.f64 y (-.f64 y (*.f64 x z))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (-.f64 y (*.f64 x z)) (-.f64 y (*.f64 x z)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))) (fma.f64 (*.f64 y (-.f64 y (*.f64 x z))) (-.f64 (*.f64 y (-.f64 y (*.f64 x z))) (*.f64 x (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y) (*.f64 y (*.f64 x z))))) (fma.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y) (*.f64 y (*.f64 x z))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(fma.f64 (/.f64 (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y (fma.f64 x z y) (*.f64 x (*.f64 x (*.f64 z z)))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x z y) (*.f64 (fma.f64 x z y) (fma.f64 x z y))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x z y) (+.f64 (fma.f64 x z y) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (fma.f64 y x (fma.f64 x z y))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 x z y) (*.f64 (fma.f64 x z y) (fma.f64 x z y))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (*.f64 x (*.f64 x x))))) (fma.f64 (fma.f64 x z y) (+.f64 (fma.f64 x z y) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y) (fma.f64 y x (fma.f64 x z y))) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)))
(/.f64 (-.f64 (*.f64 (fma.f64 x z y) (*.f64 (fma.f64 x z y) (fma.f64 x z y))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 (fma.f64 x z y) (+.f64 (fma.f64 x z y) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y))))
(/.f64 (*.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 0 binary64) y) z) y) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y)) (-.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) z)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 x z y) (*.f64 (fma.f64 x z y) (fma.f64 x z y))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x z y) (+.f64 (fma.f64 x z y) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y)) (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y)) (fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x z) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x z) y)) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x z) y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y)) (/.f64 (*.f64 x (*.f64 x (*.f64 z z))) (-.f64 (*.f64 x z) y))) (*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x z) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x z) y)))) (fma.f64 (*.f64 x (*.f64 x z)) (/.f64 z (-.f64 (*.f64 x z) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 x z) y))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (-.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) y))) (fma.f64 (*.f64 x z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (*.f64 x (*.f64 z z)) (fma.f64 y y #s(literal 0 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 z z)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) y))) (fma.f64 x (*.f64 x (*.f64 z z)) (fma.f64 y y #s(literal 0 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y (*.f64 x z)) (*.f64 (fma.f64 x z y) (-.f64 y (*.f64 x z)))) #s(literal -1 binary64))
(*.f64 (fma.f64 x z y) (*.f64 (-.f64 (*.f64 x z) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) y))))
(*.f64 (fma.f64 x z y) (/.f64 (-.f64 (*.f64 x z) y) (-.f64 (*.f64 x z) y)))
(*.f64 (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 x z y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))))))
(*.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))))))
(*.f64 (*.f64 (fma.f64 x z y) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x z) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x z) y))))
(*.f64 #s(literal 1 binary64) (fma.f64 x z y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x z) y)) (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y)))
(*.f64 (*.f64 (fma.f64 x z y) (-.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x z))))
(*.f64 (/.f64 (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y)) (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y))) (fma.f64 x z y))
(*.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (*.f64 y (-.f64 y (*.f64 x z))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (-.f64 y (*.f64 x z)) (-.f64 y (*.f64 x z)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))))) (fma.f64 (*.f64 y (-.f64 y (*.f64 x z))) (-.f64 (*.f64 y (-.f64 y (*.f64 x z))) (*.f64 x (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x z y) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y) (*.f64 y (*.f64 x z))))) (fma.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y) (*.f64 y (*.f64 x z))))
(*.f64 (/.f64 (*.f64 (fma.f64 x z y) (-.f64 (*.f64 x z) y)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y (fma.f64 x z y) (*.f64 x (*.f64 x (*.f64 z z)))))
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y))

simplify351.0ms (4.3%)

Memory
-11.3MiB live, 472.5MiB allocated
Algorithm
egg-herbie
Rules
7 206×accelerator-lowering-fma.f32
7 206×accelerator-lowering-fma.f64
2 734×*-lowering-*.f32
2 734×*-lowering-*.f64
1 080×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071488
1242402
2642402
31647402
44161402
56282402
08056348
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* x z)
(+ (* x z) (* y (+ 1 (* -1 x))))
(+ (* x z) (* y (+ 1 (* -1 x))))
(+ (* x z) (* y (+ 1 (* -1 x))))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (- x 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(+ y (* -1 (* x y)))
(+ y (+ (* -1 (* x y)) (* x z)))
(+ y (+ (* -1 (* x y)) (* x z)))
(+ y (+ (* -1 (* x y)) (* x z)))
(* x z)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* x z)
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
y
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
Outputs
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (* -1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- x 1)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
y
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
y
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)

eval38.0ms (0.5%)

Memory
18.2MiB live, 96.4MiB allocated
Compiler

Compiled 9 024 to 629 computations (93% saved)

prune41.0ms (0.5%)

Memory
-56.0MiB live, 105.8MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2991300
Fresh000
Picked011
Done044
Total2996305
Accuracy
100.0%
Counts
305 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (neg.f64 y) x (fma.f64 x z y))
63.0%
(fma.f64 (neg.f64 y) x y)
70.5%
(fma.f64 z x y)
100.0%
(fma.f64 x (-.f64 z y) y)
39.7%
(*.f64 z x)
33.3%
y
Compiler

Compiled 120 to 54 computations (55% saved)

regimes31.0ms (0.4%)

Memory
-2.0MiB live, 37.6MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
y
(*.f64 z x)
(fma.f64 x z #s(literal 0 binary64))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(fma.f64 (neg.f64 y) x y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 z x (-.f64 y (*.f64 x y)))
(fma.f64 (neg.f64 y) x (fma.f64 x z y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 x z y))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
Outputs
(fma.f64 x (-.f64 z y) y)
Calls

4 calls:

18.0ms
x
4.0ms
z
4.0ms
y
4.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory
29.5MiB live, 29.5MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
y
(*.f64 z x)
(fma.f64 x z #s(literal 0 binary64))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(fma.f64 (neg.f64 y) x y)
Outputs
(fma.f64 (neg.f64 y) x y)
(fma.f64 z x y)
(fma.f64 (neg.f64 y) x y)
Calls

4 calls:

3.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Results
AccuracySegmentsBranch
72.9%2x
88.4%3y
83.3%3z
77.2%3(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes123.0ms (1.5%)

Memory
-21.8MiB live, 17.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
y
(*.f64 z x)
(fma.f64 x z #s(literal 0 binary64))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
Outputs
(fma.f64 z x y)
Calls

4 calls:

115.0ms
z
2.0ms
y
2.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
2.0ms
x
Results
AccuracySegmentsBranch
70.5%1x
70.5%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
70.5%1z
70.5%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
y
(*.f64 z x)
(fma.f64 x z #s(literal 0 binary64))
Outputs
(*.f64 z x)
y
(*.f64 z x)
Calls

4 calls:

2.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
57.4%3y
62.1%3x
52.3%3z
48.2%5(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes17.0ms (0.2%)

Memory
-24.2MiB live, 13.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

4 calls:

13.0ms
z
1.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
33.3%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
33.3%1z
33.3%1y
33.3%1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch31.0ms (0.4%)

Memory
8.8MiB live, 47.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
2.0966764993145457e-81
2.2946742711667343e-54
12.0ms
-5.754459321198052e-40
-2.934319657194587e-51
Samples
16.0ms336×0valid
Compiler

Compiled 372 to 245 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (51.8% of total)
ival-sub: 2.0ms (25.9% of total)
ival-add: 1.0ms (13% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory
6.6MiB live, 45.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
7.307463706858185e-34
9.04972863046059e-29
10.0ms
-4.903464800409133e-53
-5.569382357888758e-56
Samples
13.0ms272×0valid
Compiler

Compiled 219 to 167 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (48.2% of total)
ival-sub: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
if-if-or-not_binary32
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02142
13342
23642
33742
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 z y) y)
(if (<=.f64 y #s(literal -206886898016895/1532495540865888858358347027150309183618739122183602176 binary64)) (fma.f64 (neg.f64 y) x y) (if (<=.f64 y #s(literal 4856672230564323/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (fma.f64 z x y) (fma.f64 (neg.f64 y) x y)))
(fma.f64 z x y)
(if (<=.f64 x #s(literal -5176309760092923/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal 1248841731117715/22300745198530623141535718272648361505980416 binary64)) y (*.f64 z x)))
y
Outputs
(fma.f64 x (-.f64 z y) y)
(if (<=.f64 y #s(literal -206886898016895/1532495540865888858358347027150309183618739122183602176 binary64)) (fma.f64 (neg.f64 y) x y) (if (<=.f64 y #s(literal 4856672230564323/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (fma.f64 z x y) (fma.f64 (neg.f64 y) x y)))
(if (<=.f64 y #s(literal -206886898016895/1532495540865888858358347027150309183618739122183602176 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x y) (if (<=.f64 y #s(literal 4856672230564323/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (fma.f64 z x y) (fma.f64 (-.f64 #s(literal 0 binary64) y) x y)))
(fma.f64 z x y)
(if (<=.f64 x #s(literal -5176309760092923/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal 1248841731117715/22300745198530623141535718272648361505980416 binary64)) y (*.f64 z x)))
(if (<=.f64 x #s(literal -5176309760092923/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 1248841731117715/22300745198530623141535718272648361505980416 binary64)) y (*.f64 x z)))
y

soundness1.2s (14.3%)

Memory
-23.7MiB live, 574.4MiB allocated
Rules
15 980×accelerator-lowering-fma.f32
15 980×accelerator-lowering-fma.f64
9 438×accelerator-lowering-fma.f32
9 438×accelerator-lowering-fma.f64
7 472×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
110238
2105635
0872332
071488
1242402
2642402
31647402
44161402
56282402
08056348
01441
110139
284237
0903633
057471
1192442
2558442
31391442
43878442
56295442
08006415
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 141 to 79 computations (44% saved)

preprocess48.0ms (0.6%)

Memory
26.9MiB live, 102.2MiB allocated
Compiler

Compiled 150 to 72 computations (52% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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