Main:bigenough2 from A

Time bar (total: 5.4s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 9 to 8 computations (11.1% saved)

sample589.0ms (10.9%)

Memory
-4.3MiB live, 897.1MiB allocated
Samples
393.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-add: 108.0ms (61.3% of total)
ival-mult: 60.0ms (34.1% of total)
ival-true: 5.0ms (2.8% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

preprocess60.0ms (1.1%)

Memory
31.5MiB live, 69.4MiB allocated
Algorithm
egg-herbie
Rules
414×distribute-rgt-in
364×unsub-neg
332×sub-neg
240×associate-*r*
228×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02977
19970
231470
374670
4173970
5248770
6259770
7259770
067
1157
2267
3357
4397
5457
6457
7587
8587
9707
10727
11767
0766
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ x (* y (+ z x)))
Outputs
(+ x (* y (+ z x)))
(fma.f64 y (+.f64 x z) x)
Call 2
Inputs
(+ x (* y (+ z x)))
(+ (neg x) (* y (+ z (neg x))))
(+ x (* (neg y) (+ z x)))
(+ x (* y (+ (neg z) x)))
(neg (+ (neg x) (* y (+ z (neg x)))))
(neg (+ x (* (neg y) (+ z x))))
(neg (+ x (* y (+ (neg z) x))))
(+ y (* x (+ z y)))
(+ z (* y (+ x z)))
(+ x (* z (+ y x)))
Outputs
(+ x (* y (+ z x)))
(+ x (* y (+ x z)))
(+ (neg x) (* y (+ z (neg x))))
(- (* y (- z x)) x)
(+ x (* (neg y) (+ z x)))
(- x (* y (+ x z)))
(+ x (* y (+ (neg z) x)))
(+ x (* y (- x z)))
(neg (+ (neg x) (* y (+ z (neg x)))))
(+ x (* y (- x z)))
(neg (+ x (* (neg y) (+ z x))))
(- (* y (+ x z)) x)
(neg (+ x (* y (+ (neg z) x))))
(- (* y (- z x)) x)
(+ y (* x (+ z y)))
(+ y (* x (+ y z)))
(+ z (* y (+ x z)))
(+ x (* z (+ y x)))
(+ x (* z (+ x y)))

explain162.0ms (3%)

Memory
-55.3MiB live, 178.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 z x)
00-0-y
00-0-(*.f64 y (+.f64 z x))
00-0-(+.f64 x (*.f64 y (+.f64 z x)))
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
43.0ms512×0valid
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (54.7% of total)
ival-mult: 3.0ms (32.8% of total)
ival-true: 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
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify7.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 z x)
cost-diff0
(*.f64 y (+.f64 z x))
cost-diff128
(+.f64 x (*.f64 y (+.f64 z x)))
Rules
92×accelerator-lowering-fma.f32
92×accelerator-lowering-fma.f64
60×*-lowering-*.f32
60×*-lowering-*.f64
32×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11518
22618
33518
43918
54518
64518
75818
85818
97018
107218
117618
07617
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ x (* y (+ z x)))
x
(* y (+ z x))
y
(+ z x)
z
Outputs
(+ x (* y (+ z x)))
(fma.f64 y (+.f64 x z) x)
x
(* y (+ z x))
(*.f64 y (+.f64 x z))
y
(+ z x)
(+.f64 x z)
z

localize35.0ms (0.7%)

Memory
-9.4MiB live, 28.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 z x)
accuracy100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
accuracy100.0%
(*.f64 y (+.f64 z x))
Samples
12.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (60.5% of total)
ival-mult: 2.0ms (40.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
3 → 96
Calls
Call 1
Inputs
#<alt (+ x (* y (+ z x)))>
#<alt (* y (+ z x))>
#<alt (+ z x)>
Outputs
#<alt (* y z)>
#<alt (+ (* x (+ 1 y)) (* y z))>
#<alt (+ (* x (+ 1 y)) (* y z))>
#<alt (+ (* x (+ 1 y)) (* y z))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 (+ y (/ (* y z) x))))>
#<alt (* x (+ 1 (+ y (/ (* y z) x))))>
#<alt (* x (+ 1 (+ y (/ (* y z) x))))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))>
#<alt x>
#<alt (+ x (* y (+ x z)))>
#<alt (+ x (* y (+ x z)))>
#<alt (+ x (* y (+ x z)))>
#<alt (* y (+ x z))>
#<alt (* y (+ x (+ z (/ x y))))>
#<alt (* y (+ x (+ z (/ x y))))>
#<alt (* y (+ x (+ z (/ x y))))>
#<alt (* y (+ x z))>
#<alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))>
#<alt (+ x (* x y))>
#<alt (+ x (+ (* x y) (* y z)))>
#<alt (+ x (+ (* x y) (* y z)))>
#<alt (+ x (+ (* x y) (* y z)))>
#<alt (* y z)>
#<alt (* z (+ y (+ (/ x z) (/ (* x y) z))))>
#<alt (* z (+ y (+ (/ x z) (/ (* x y) z))))>
#<alt (* z (+ y (+ (/ x z) (/ (* x y) z))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))>
#<alt (* y (+ x z))>
#<alt (* y (+ x z))>
#<alt (* y (+ x z))>
#<alt (* y (+ x z))>
#<alt (* y (+ x z))>
#<alt (* y (+ x z))>
#<alt (* y (+ x z))>
#<alt (* y (+ x z))>
#<alt (* y (+ x z))>
#<alt (* y (+ x z))>
#<alt (* y (+ x z))>
#<alt (* y (+ x z))>
#<alt (* x y)>
#<alt (+ (* x y) (* y z))>
#<alt (+ (* x y) (* y z))>
#<alt (+ (* x y) (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ (* x y) z)))>
#<alt (* z (+ y (/ (* x y) z)))>
#<alt (* z (+ y (/ (* x y) z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))>
#<alt (* y z)>
#<alt (+ (* x y) (* y z))>
#<alt (+ (* x y) (* y z))>
#<alt (+ (* x y) (* y z))>
#<alt (* x y)>
#<alt (* x (+ y (/ (* y z) x)))>
#<alt (* x (+ y (/ (* y z) x)))>
#<alt (* x (+ y (/ (* y z) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
Calls

24 calls:

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

rewrite518.0ms (9.6%)

Memory
-1.9MiB live, 586.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 948×accelerator-lowering-fma.f32
4 948×accelerator-lowering-fma.f64
4 672×*-lowering-*.f32
4 672×*-lowering-*.f64
3 162×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
13815
234815
3426115
0861814
Stop Event
iter limit
node limit
Counts
3 → 245
Calls
Call 1
Inputs
(+ x (* y (+ z x)))
(* y (+ z x))
(+ z x)
Outputs
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 y (+.f64 x z)) x)
(+.f64 (*.f64 y z) (fma.f64 x y x))
(+.f64 (*.f64 x y) (fma.f64 y z x))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x)) (neg.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x))))
(+.f64 (fma.f64 y z x) (*.f64 x y))
(+.f64 (fma.f64 x y x) (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x z) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x)) (/.f64 (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x)))
(-.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (*.f64 y y))) (fma.f64 y (+.f64 x z) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y (+.f64 x z) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 x y (fma.f64 y z x))
(fma.f64 x (/.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x)) (neg.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x))))
(fma.f64 y x (fma.f64 y z x))
(fma.f64 y z (fma.f64 x y x))
(fma.f64 y (+.f64 x z) x)
(fma.f64 z y (fma.f64 x y x))
(fma.f64 (+.f64 x z) y x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x)) (neg.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x))))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) y) x)
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 y (fma.f64 z (-.f64 z x) (*.f64 x x))) x)
(fma.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) y) x)
(fma.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 y (-.f64 z x)) x)
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 y z))))) x)
(fma.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))) x)
(fma.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) x)
(fma.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 z x) y)) (/.f64 #s(literal 1 binary64) (-.f64 z x)) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x (*.f64 y z))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 y (+.f64 x z) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x))) (fma.f64 y (+.f64 x z) x) (neg.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x))) (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) x) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (+.f64 x z)) x))))
(fma.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (-.f64 x z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 x (-.f64 x z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) x)
(fma.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))) x)
(fma.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 z x) y)) (*.f64 (+.f64 x z) (-.f64 z x))) (+.f64 x z) x)
(fma.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 z x) y)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (*.f64 z z)) x)
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 x z) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (+.f64 x z) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) y) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 z (-.f64 z x) (*.f64 x x))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) y) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (-.f64 z x)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 y z))))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (-.f64 z x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 z x) y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (-.f64 x z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x (-.f64 x z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 z x) y)) (*.f64 (+.f64 x z) (-.f64 z x))) #s(literal 1 binary64)) (pow.f64 (+.f64 x z) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 z x) y)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal 1 binary64)) x)
(fma.f64 (exp.f64 (log.f64 (+.f64 x z))) (exp.f64 (log.f64 y)) x)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (+.f64 x z))) x)
(neg.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 x z) x) (fma.f64 (+.f64 x z) (*.f64 y (fma.f64 y (+.f64 x z) (-.f64 #s(literal 0 binary64) x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (*.f64 y (fma.f64 y (+.f64 x z) (-.f64 #s(literal 0 binary64) x))) (*.f64 x x)))))
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(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (*.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (*.f64 (-.f64 z x) (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 z z))))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (-.f64 z x) (fma.f64 x x (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (fma.f64 z (-.f64 z x) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) #s(literal 1 binary64)) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 z z)))) (-.f64 z x)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (+.f64 x z) (-.f64 z x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z z)) (-.f64 z x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 #s(literal 0 binary64) (-.f64 z x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 z x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) (neg.f64 (-.f64 x z)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (-.f64 z x)))) (fma.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 z z) (-.f64 z x)) (fma.f64 (*.f64 x (/.f64 x (-.f64 z x))) (*.f64 x (/.f64 x (-.f64 z x))) (*.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (*.f64 x (/.f64 x (-.f64 z x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 z z) (-.f64 z x))) (*.f64 (*.f64 x (/.f64 x (-.f64 z x))) (*.f64 x (/.f64 x (-.f64 z x))))) (fma.f64 z (/.f64 z (-.f64 z x)) (*.f64 x (/.f64 x (-.f64 z x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (fma.f64 x x (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal -1 binary64))
(*.f64 (+.f64 x z) (*.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) (-.f64 z x)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(*.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))))
(*.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (/.f64 (+.f64 x z) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 x z) (-.f64 #s(literal 0 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 z x))))
(*.f64 #s(literal 1 binary64) (+.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 z x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (+.f64 x z))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (-.f64 x z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 x (-.f64 x z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))
(*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (*.f64 z z)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))))
(*.f64 (pow.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 z z))))))
(*.f64 (pow.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (+.f64 x z) (-.f64 z x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z z))))

simplify262.0ms (4.9%)

Memory
38.5MiB live, 348.1MiB allocated
Algorithm
egg-herbie
Rules
6 302×accelerator-lowering-fma.f32
6 302×accelerator-lowering-fma.f64
2 346×*-lowering-*.f32
2 346×*-lowering-*.f64
2 102×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070506
1249452
2731452
32098452
44324452
55687452
66812452
77730452
08120422
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* y z)
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(* x (+ 1 y))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
x
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x z))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(+ x (* x y))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(* y z)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* x y)
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(* y z)
(* z (+ y (/ (* x y) z)))
(* z (+ y (/ (* x y) z)))
(* z (+ y (/ (* x y) z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(* y z)
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(* x y)
(* x (+ y (/ (* y z) x)))
(* x (+ y (/ (* y z) x)))
(* x (+ y (/ (* y z) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
Outputs
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ (* x (+ 1 y)) (* y z))
(fma.f64 y (+.f64 z x) x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 y (+.f64 z x) x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 y (+.f64 z x) x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 y (+.f64 z x) x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 y (+.f64 z x) x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 y (+.f64 z x) x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (+.f64 z x) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (+.f64 z x) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (+.f64 z x) x)
x
(+ x (* y (+ x z)))
(fma.f64 y (+.f64 z x) x)
(+ x (* y (+ x z)))
(fma.f64 y (+.f64 z x) x)
(+ x (* y (+ x z)))
(fma.f64 y (+.f64 z x) x)
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x (+ z (/ x y))))
(fma.f64 y (+.f64 z x) x)
(* y (+ x (+ z (/ x y))))
(fma.f64 y (+.f64 z x) x)
(* y (+ x (+ z (/ x y))))
(fma.f64 y (+.f64 z x) x)
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 y (+.f64 z x) x)
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 y (+.f64 z x) x)
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 y (+.f64 z x) x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* x y) (* y z)))
(fma.f64 y (+.f64 z x) x)
(+ x (+ (* x y) (* y z)))
(fma.f64 y (+.f64 z x) x)
(+ x (+ (* x y) (* y z)))
(fma.f64 y (+.f64 z x) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 y (+.f64 z x) x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 y (+.f64 z x) x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 y (+.f64 z x) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 y (+.f64 z x) x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 y (+.f64 z x) x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 y (+.f64 z x) x)
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(+ (* x y) (* y z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(+ (* x y) (* y z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(+ (* x y) (* y z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* z (+ y (/ (* x y) z)))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* z (+ y (/ (* x y) z)))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* z (+ y (/ (* x y) z)))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ (* x y) (* y z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(+ (* x y) (* y z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(+ (* x y) (* y z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x (+ y (/ (* y z) x)))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* x (+ y (/ (* y z) x)))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* x (+ y (/ (* y z) x)))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
z
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
z
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
x
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)

eval38.0ms (0.7%)

Memory
2.8MiB live, 80.1MiB allocated
Compiler

Compiled 8 632 to 816 computations (90.5% saved)

prune45.0ms (0.8%)

Memory
-30.8MiB live, 97.7MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3356341
Fresh000
Picked011
Done000
Total3357342
Accuracy
100.0%
Counts
342 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x z) y x)
100.0%
(fma.f64 z y (fma.f64 x y x))
37.9%
(fma.f64 y z #s(literal 0 binary64))
66.3%
(fma.f64 y x x)
100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
74.8%
(+.f64 x (*.f64 y z))
39.3%
x
Compiler

Compiled 100 to 60 computations (40% saved)

simplify9.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
12640
25240
36740
48740
510040
610040
711240
811440
912240
012236
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* z y) (+ (* x y) x))
z
y
(+ (* x y) x)
x
x
(+ (* y x) x)
y
x
(+ (* y z) 0)
y
z
0
(+ x (* y z))
x
(* y z)
y
z
Outputs
(+ (* z y) (+ (* x y) x))
(fma.f64 y (+.f64 z x) x)
z
y
(+ (* x y) x)
(fma.f64 y x x)
x
x
(+ (* y x) x)
(fma.f64 y x x)
y
x
(+ (* y z) 0)
(fma.f64 z y #s(literal 0 binary64))
y
z
0
#s(literal 0 binary64)
(+ x (* y z))
(fma.f64 z y x)
x
(* y z)
(fma.f64 z y #s(literal 0 binary64))
y
z

localize36.0ms (0.7%)

Memory
-7.4MiB live, 70.9MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(+.f64 x (*.f64 y z))
accuracy100.0%
(fma.f64 y z #s(literal 0 binary64))
accuracy100.0%
(fma.f64 y x x)
accuracy100.0%
(fma.f64 z y (fma.f64 x y x))
accuracy100.0%
(fma.f64 x y x)
Samples
25.0ms256×0valid
Compiler

Compiled 41 to 15 computations (63.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (60.4% of total)
ival-add: 5.0ms (37.7% 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
12.0MiB live, 12.0MiB allocated
Counts
6 → 168
Calls
Call 1
Inputs
#<alt (+ (* z y) (+ (* x y) x))>
#<alt (+ (* x y) x)>
#<alt (+ (* y x) x)>
#<alt (+ (* y z) 0)>
#<alt (+ x (* y z))>
#<alt (* y z)>
Outputs
#<alt (+ x (* x y))>
#<alt (+ x (+ (* x y) (* y z)))>
#<alt (+ x (+ (* x y) (* y z)))>
#<alt (+ x (+ (* x y) (* y z)))>
#<alt (* y z)>
#<alt (* z (+ y (+ (/ x z) (/ (* x y) z))))>
#<alt (* z (+ y (+ (/ x z) (/ (* x y) z))))>
#<alt (* z (+ y (+ (/ x z) (/ (* x y) z))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))>
#<alt x>
#<alt (+ x (* y (+ x z)))>
#<alt (+ x (* y (+ x z)))>
#<alt (+ x (* y (+ x z)))>
#<alt (* y (+ x z))>
#<alt (* y (+ x (+ z (/ x y))))>
#<alt (* y (+ x (+ z (/ x y))))>
#<alt (* y (+ x (+ z (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 z))))>
#<alt (* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))>
#<alt (* y z)>
#<alt (+ (* x (+ 1 y)) (* y z))>
#<alt (+ (* x (+ 1 y)) (* y z))>
#<alt (+ (* x (+ 1 y)) (* y z))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 (+ y (/ (* y z) x))))>
#<alt (* x (+ 1 (+ y (/ (* y z) x))))>
#<alt (* x (+ 1 (+ y (/ (* y z) x))))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
Calls

42 calls:

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

rewrite476.0ms (8.8%)

Memory
21.5MiB live, 762.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
12 246×accelerator-lowering-fma.f32
12 246×accelerator-lowering-fma.f64
3 862×*-lowering-*.f32
3 862×*-lowering-*.f64
3 564×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
18928
279028
0858124
Stop Event
iter limit
node limit
Counts
6 → 838
Calls
Call 1
Inputs
(+ (* z y) (+ (* x y) x))
(+ (* x y) x)
(+ (* y x) x)
(+ (* y z) 0)
(+ x (* y z))
(* y z)
Outputs
(+.f64 x (fma.f64 y (+.f64 z x) #s(literal 0 binary64)))
(+.f64 (*.f64 y x) (fma.f64 z y x))
(+.f64 (fma.f64 y x x) (fma.f64 z y #s(literal 0 binary64)))
(+.f64 (fma.f64 y (+.f64 z x) x) #s(literal 0 binary64))
(+.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y x x))
(+.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 z x) x))
(+.f64 (fma.f64 z y x) (*.f64 y x))
(+.f64 (fma.f64 z y x) (fma.f64 y x #s(literal 0 binary64)))
(+.f64 (fma.f64 y (+.f64 z x) #s(literal 0 binary64)) x)
(+.f64 (/.f64 (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 z y x))
(-.f64 (/.f64 (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (-.f64 (fma.f64 y x x) (fma.f64 z y #s(literal 0 binary64)))) (/.f64 (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 y x x) (fma.f64 z y #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 z x) #s(literal 0 binary64)) (fma.f64 y (+.f64 z x) #s(literal 0 binary64))) (fma.f64 y (+.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y (+.f64 z x) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 z y (fma.f64 y x x))
(fma.f64 y z (fma.f64 y x x))
(fma.f64 y x (fma.f64 z y x))
(fma.f64 y (+.f64 z x) x)
(fma.f64 y (+.f64 x z) x)
(fma.f64 x y (fma.f64 z y x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 (fma.f64 z y #s(literal 0 binary64)) (/.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 y x x))
(fma.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 y x) (-.f64 x (*.f64 y x))))) (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y x) (fma.f64 y x (-.f64 #s(literal 0 binary64) x))))) (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y x x))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) x) (*.f64 x x)) (fma.f64 z y x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) x) (*.f64 x x))) (*.f64 y x))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) x) (*.f64 x x)) (fma.f64 z y x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) x) (*.f64 x x))) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) x) (*.f64 x x)) (fma.f64 z y x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (-.f64 x (fma.f64 z y #s(literal 0 binary64)))))) (*.f64 y x))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) x) (*.f64 x x)) (fma.f64 z y x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (-.f64 x (fma.f64 z y #s(literal 0 binary64)))))) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 y x x))
(fma.f64 (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 y x x) (fma.f64 y x x) (*.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 y (+.f64 z x) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 y x x) (fma.f64 y x x) (*.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 y (+.f64 z x) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x x) (fma.f64 y x x) (*.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x))))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y x (-.f64 #s(literal 0 binary64) x))) (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 z y x) (-.f64 x (fma.f64 z y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z y #s(literal 0 binary64)))) (*.f64 y x))
(fma.f64 (*.f64 (fma.f64 z y x) (-.f64 x (fma.f64 z y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z y #s(literal 0 binary64)))) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 y (+.f64 z x) x) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y x x))
(fma.f64 #s(literal 1 binary64) (fma.f64 z y x) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (fma.f64 z y x) (fma.f64 y x #s(literal 0 binary64)))
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(*.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (fma.f64 z y #s(literal 0 binary64)) y)) (/.f64 (*.f64 y (*.f64 y y)) z))
(*.f64 (/.f64 (pow.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z y #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z y #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y)) (/.f64 (pow.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 z z)))
(*.f64 (/.f64 (pow.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 z z)) (/.f64 (pow.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 z y #s(literal 0 binary64)) z)) (/.f64 (pow.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 3/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 z y #s(literal 0 binary64)) y)) (/.f64 (pow.f64 (fma.f64 z y #s(literal 0 binary64)) #s(literal 3/2 binary64)) z))
(*.f64 (/.f64 z (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 y (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 z (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 y y) z) (/.f64 (*.f64 z z) y))
(*.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 y y) z))
(*.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 z z) z))
(*.f64 (/.f64 (*.f64 z z) z) (/.f64 (*.f64 y y) y))
(*.f64 (/.f64 (*.f64 y y) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 z z) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) z) z) (/.f64 y y))
(*.f64 (/.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) z) y) (/.f64 y z))
(*.f64 (/.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) z) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) y) z) (/.f64 z y))
(*.f64 (/.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) y) y) (/.f64 z z))
(*.f64 (/.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) y) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))

simplify275.0ms (5.1%)

Memory
-3.4MiB live, 385.2MiB allocated
Algorithm
egg-herbie
Rules
7 600×accelerator-lowering-fma.f32
7 600×accelerator-lowering-fma.f64
2 830×*-lowering-*.f32
2 830×*-lowering-*.f64
1 234×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073746
1248746
2688746
31685746
44082746
56388746
08242647
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(+ x (* x y))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(* y z)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
x
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(* y z)
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(* x (+ 1 y))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
Outputs
(+ x (* x y))
(fma.f64 x y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 y (+.f64 x z) x)
(+ x (+ (* x y) (* y z)))
(fma.f64 y (+.f64 x z) x)
(+ x (+ (* x y) (* y z)))
(fma.f64 y (+.f64 x z) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 y (+.f64 x z) x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 y (+.f64 x z) x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 y (+.f64 x z) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 y (+.f64 x z) x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 y (+.f64 x z) x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 y (+.f64 x z) x)
x
(+ x (* y (+ x z)))
(fma.f64 y (+.f64 x z) x)
(+ x (* y (+ x z)))
(fma.f64 y (+.f64 x z) x)
(+ x (* y (+ x z)))
(fma.f64 y (+.f64 x z) x)
(* y (+ x z))
(fma.f64 y (+.f64 x z) #s(literal 0 binary64))
(* y (+ x (+ z (/ x y))))
(fma.f64 y (+.f64 x z) x)
(* y (+ x (+ z (/ x y))))
(fma.f64 y (+.f64 x z) x)
(* y (+ x (+ z (/ x y))))
(fma.f64 y (+.f64 x z) x)
(* -1 (* y (+ (* -1 x) (* -1 z))))
(fma.f64 y (+.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 y (+.f64 x z) x)
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 y (+.f64 x z) x)
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 y (+.f64 x z) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ (* x (+ 1 y)) (* y z))
(fma.f64 y (+.f64 x z) x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 y (+.f64 x z) x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 y (+.f64 x z) x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 y (+.f64 x z) x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 y (+.f64 x z) x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 y (+.f64 x z) x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (+.f64 x z) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (+.f64 x z) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (+.f64 x z) x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
x
(+ x (* x y))
(fma.f64 x y x)
(+ x (* x y))
(fma.f64 x y x)
(+ x (* x y))
(fma.f64 x y x)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ x y)))
(fma.f64 x y x)
(* y (+ x (/ x y)))
(fma.f64 x y x)
(* y (+ x (/ x y)))
(fma.f64 x y x)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 x y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 x y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 x y x)
x
(+ x (* x y))
(fma.f64 x y x)
(+ x (* x y))
(fma.f64 x y x)
(+ x (* x y))
(fma.f64 x y x)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ x y)))
(fma.f64 x y x)
(* y (+ x (/ x y)))
(fma.f64 x y x)
(* y (+ x (/ x y)))
(fma.f64 x y x)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 x y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 x y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 y))
(fma.f64 x y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))

eval133.0ms (2.5%)

Memory
11.9MiB live, 287.5MiB allocated
Compiler

Compiled 24 442 to 1 446 computations (94.1% saved)

prune131.0ms (2.4%)

Memory
12.3MiB live, 364.1MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1 00421 006
Fresh011
Picked235
Done011
Total1 00671 013
Accuracy
100.0%
Counts
1 013 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x z) y x)
100.0%
(fma.f64 z y (fma.f64 x y x))
74.8%
(fma.f64 z y x)
66.3%
(fma.f64 y x x)
100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
37.9%
(*.f64 z y)
39.3%
x
Compiler

Compiled 53 to 31 computations (41.5% saved)

simplify12.0ms (0.2%)

Memory
-48.6MiB live, 18.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x z)
cost-diff0
(fma.f64 (+.f64 x z) y x)
cost-diff0
(fma.f64 z y x)
cost-diff0
(*.f64 z y)
Rules
92×accelerator-lowering-fma.f32
92×accelerator-lowering-fma.f64
60×*-lowering-*.f32
60×*-lowering-*.f64
32×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
11326
21926
33126
43526
53926
64526
74526
85826
95826
107026
117226
127626
07624
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* z y)
z
y
(+ (* z y) x)
z
y
x
(+ (* (+ x z) y) x)
(+ x z)
x
z
y
Outputs
(* z y)
(*.f64 z y)
z
y
(+ (* z y) x)
(fma.f64 z y x)
z
y
x
(+ (* (+ x z) y) x)
(fma.f64 y (+.f64 z x) x)
(+ x z)
(+.f64 z x)
x
z
y

localize25.0ms (0.5%)

Memory
19.6MiB live, 58.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x z)
accuracy100.0%
(fma.f64 (+.f64 x z) y x)
accuracy100.0%
(fma.f64 z y x)
accuracy100.0%
(*.f64 z y)
Samples
16.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (50.5% of total)
ival-add: 3.0ms (37.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#<alt (* z y)>
#<alt (+ (* z y) x)>
#<alt (+ (* (+ x z) y) x)>
#<alt (+ x z)>
Outputs
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* y z)>
#<alt (+ (* x (+ 1 y)) (* y z))>
#<alt (+ (* x (+ 1 y)) (* y z))>
#<alt (+ (* x (+ 1 y)) (* y z))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 (+ y (/ (* y z) x))))>
#<alt (* x (+ 1 (+ y (/ (* y z) x))))>
#<alt (* x (+ 1 (+ y (/ (* y z) x))))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))>
#<alt (+ x (* x y))>
#<alt (+ x (+ (* x y) (* y z)))>
#<alt (+ x (+ (* x y) (* y z)))>
#<alt (+ x (+ (* x y) (* y z)))>
#<alt (* y z)>
#<alt (* z (+ y (+ (/ x z) (/ (* x y) z))))>
#<alt (* z (+ y (+ (/ x z) (/ (* x y) z))))>
#<alt (* z (+ y (+ (/ x z) (/ (* x y) z))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))>
#<alt x>
#<alt (+ x (* y (+ x z)))>
#<alt (+ x (* y (+ x z)))>
#<alt (+ x (* y (+ x z)))>
#<alt (* y (+ x z))>
#<alt (* y (+ x (+ z (/ x y))))>
#<alt (* y (+ x (+ z (/ x y))))>
#<alt (* y (+ x (+ z (/ x y))))>
#<alt (* y (+ x z))>
#<alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
Calls

30 calls:

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

rewrite704.0ms (13%)

Memory
-43.3MiB live, 588.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 366×accelerator-lowering-fma.f32
6 366×accelerator-lowering-fma.f64
4 890×*-lowering-*.f32
4 890×*-lowering-*.f64
3 040×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
14618
238818
3478318
0880616
Stop Event
iter limit
node limit
Counts
4 → 246
Calls
Call 1
Inputs
(* z y)
(+ (* z y) x)
(+ (* (+ x z) y) x)
(+ x z)
Outputs
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 z y)
(*.f64 z (exp.f64 (log.f64 y)))
(*.f64 y z)
(*.f64 (exp.f64 (log.f64 y)) z)
(+.f64 (*.f64 z y) x)
(+.f64 x (*.f64 z y))
(+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 (*.f64 z y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 (*.f64 z y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z y))) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 z y))))
(fma.f64 z y x)
(fma.f64 z (/.f64 (*.f64 z (*.f64 y y)) (-.f64 (*.f64 z y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))
(fma.f64 z (exp.f64 (log.f64 y)) x)
(fma.f64 y z x)
(fma.f64 y (/.f64 (*.f64 z (*.f64 z y)) (-.f64 (*.f64 z y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))
(fma.f64 (*.f64 z y) (/.f64 (*.f64 z y) (-.f64 (*.f64 z y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))
(fma.f64 (*.f64 z (*.f64 z (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 y y) (-.f64 (*.f64 z y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 z z) (-.f64 (*.f64 z y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))
(fma.f64 (*.f64 z (*.f64 y y)) (/.f64 z (-.f64 (*.f64 z y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))
(fma.f64 (*.f64 z (*.f64 z y)) (/.f64 y (-.f64 (*.f64 z y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))
(fma.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))) (fma.f64 z y x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))
(fma.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x (fma.f64 z y x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))
(fma.f64 (exp.f64 (log.f64 y)) z x)
(neg.f64 (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z y) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z y x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x)))) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))) (-.f64 (*.f64 z y) x)))
(/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)) (-.f64 (*.f64 z y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z y x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z y) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))))
(/.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (-.f64 x (*.f64 z y)))
(/.f64 (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 (*.f64 z y) x) (fma.f64 z (*.f64 (*.f64 z (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 (*.f64 x x) (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))) (*.f64 (-.f64 (*.f64 z y) x) (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 (*.f64 z y) x)) (*.f64 (-.f64 (*.f64 z y) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 z y) x) (-.f64 (*.f64 z y) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 z y x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 z (*.f64 (*.f64 z (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 (*.f64 x x) (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x x)))) (-.f64 (*.f64 z y) x)))
(/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x x)) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 z y) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z y x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) x) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z y x) (-.f64 (*.f64 z y) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z y) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y)))) (neg.f64 (-.f64 x (*.f64 z y))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 (*.f64 z y) x)) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 (*.f64 z y) x))) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 (*.f64 z y) x))) (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x)))) (fma.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 (*.f64 z y) x)) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 (*.f64 z y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x)) (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 (*.f64 z y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))))))
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(/.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (*.f64 (-.f64 x z) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 z x) (-.f64 x z))) (*.f64 (-.f64 x z) (fma.f64 z z (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 z z))) (*.f64 (-.f64 x z) (-.f64 x z)))
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (-.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z)) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x z)))
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 z x) (-.f64 x z))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) (-.f64 x z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 #s(literal 0 binary64) (-.f64 x z)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x z))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 z x))) (neg.f64 (-.f64 z x)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (-.f64 x z))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (-.f64 x z)))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 x x) (-.f64 x z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 x x) (-.f64 x z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z)))) (fma.f64 x (/.f64 x (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))) (fma.f64 (*.f64 z (*.f64 z z)) (-.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z)))
(/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 x z))) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 x z))) (fma.f64 z z (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))) #s(literal -1 binary64))
(*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) (-.f64 x z)))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (*.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))))
(*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (/.f64 (+.f64 z x) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))))
(*.f64 (*.f64 (+.f64 z x) (-.f64 #s(literal 0 binary64) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x z))))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (*.f64 (+.f64 z x) (-.f64 x z)))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (+.f64 z x) (-.f64 x z))) (+.f64 z x))
(*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 z (-.f64 z x)) (*.f64 (*.f64 z z) (*.f64 (-.f64 z x) (-.f64 z x)))))) (fma.f64 (*.f64 z (-.f64 z x)) (-.f64 (*.f64 z (-.f64 z x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 x x) (*.f64 z (-.f64 z x))))) (-.f64 (*.f64 x x) (*.f64 z (-.f64 z x))))
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (fma.f64 z (+.f64 z x) (*.f64 x x)))

simplify277.0ms (5.1%)

Memory
1.9MiB live, 234.4MiB allocated
Algorithm
egg-herbie
Rules
6 242×accelerator-lowering-fma.f32
6 242×accelerator-lowering-fma.f64
2 444×*-lowering-*.f32
2 444×*-lowering-*.f64
1 520×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077564
1260510
2714510
31958510
44887510
56887510
08071453
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* y z)
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(* x (+ 1 y))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(+ x (* x y))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(* y z)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
x
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x z))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
Outputs
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ (* x (+ 1 y)) (* y z))
(fma.f64 y (+.f64 z x) x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 y (+.f64 z x) x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 y (+.f64 z x) x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 y (+.f64 z x) x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 y (+.f64 z x) x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 y (+.f64 z x) x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (+.f64 z x) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (+.f64 z x) x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (+.f64 z x) x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* x y) (* y z)))
(fma.f64 y (+.f64 z x) x)
(+ x (+ (* x y) (* y z)))
(fma.f64 y (+.f64 z x) x)
(+ x (+ (* x y) (* y z)))
(fma.f64 y (+.f64 z x) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 y (+.f64 z x) x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 y (+.f64 z x) x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 y (+.f64 z x) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 y (+.f64 z x) x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 y (+.f64 z x) x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 y (+.f64 z x) x)
x
(+ x (* y (+ x z)))
(fma.f64 y (+.f64 z x) x)
(+ x (* y (+ x z)))
(fma.f64 y (+.f64 z x) x)
(+ x (* y (+ x z)))
(fma.f64 y (+.f64 z x) x)
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* y (+ x (+ z (/ x y))))
(fma.f64 y (+.f64 z x) x)
(* y (+ x (+ z (/ x y))))
(fma.f64 y (+.f64 z x) x)
(* y (+ x (+ z (/ x y))))
(fma.f64 y (+.f64 z x) x)
(* y (+ x z))
(fma.f64 y (+.f64 z x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 y (+.f64 z x) x)
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 y (+.f64 z x) x)
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 y (+.f64 z x) x)
z
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
x
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
z
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)

eval71.0ms (1.3%)

Memory
39.2MiB live, 74.5MiB allocated
Compiler

Compiled 8 749 to 667 computations (92.4% saved)

prune99.0ms (1.8%)

Memory
-3.5MiB live, 80.4MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3660366
Fresh000
Picked033
Done044
Total3667373
Accuracy
100.0%
Counts
373 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x z) y x)
100.0%
(fma.f64 z y (fma.f64 x y x))
74.8%
(fma.f64 z y x)
66.3%
(fma.f64 y x x)
100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
37.9%
(*.f64 z y)
39.3%
x
Compiler

Compiled 97 to 48 computations (50.5% saved)

regimes54.0ms (1%)

Memory
-10.6MiB live, 28.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 y x x)
(fma.f64 y z #s(literal 0 binary64))
(fma.f64 z y x)
(+.f64 x (*.f64 y z))
(fma.f64 (+.f64 x z) y x)
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 z y (fma.f64 x y x))
Outputs
(fma.f64 z y (fma.f64 x y x))
Calls

4 calls:

44.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
3.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes52.0ms (1%)

Memory
-5.3MiB live, 30.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 y x x)
(fma.f64 y z #s(literal 0 binary64))
(fma.f64 z y x)
(+.f64 x (*.f64 y z))
(fma.f64 (+.f64 x z) y x)
(+.f64 x (*.f64 y (+.f64 z x)))
Outputs
(fma.f64 (+.f64 x z) y x)
Calls

4 calls:

42.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes15.0ms (0.3%)

Memory
-15.9MiB live, 29.5MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 y x x)
(fma.f64 y z #s(literal 0 binary64))
(fma.f64 z y x)
(+.f64 x (*.f64 y z))
Outputs
(fma.f64 y x x)
(fma.f64 z y x)
(fma.f64 y x x)
Calls

4 calls:

7.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
Results
AccuracySegmentsBranch
89.7%3x
83.3%4y
85.2%3z
80.4%3(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes7.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 y x x)
(fma.f64 y z #s(literal 0 binary64))
Outputs
(fma.f64 y x x)
(*.f64 z y)
(fma.f64 y x x)
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
69.5%2y
79.1%3z
81.6%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
Outputs
(*.f64 z y)
x
(*.f64 z y)
Calls

4 calls:

2.0ms
x
2.0ms
z
1.0ms
y
1.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
Results
AccuracySegmentsBranch
63.9%3y
58.1%3z
51.3%3(+.f64 x (*.f64 y (+.f64 z x)))
58.2%3x
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.2%)

Memory
-19.3MiB live, 19.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

4 calls:

4.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
Results
AccuracySegmentsBranch
39.3%1(+.f64 x (*.f64 y (+.f64 z x)))
39.3%1z
39.3%1x
39.3%1y
Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch16.0ms (0.3%)

Memory
-8.0MiB live, 30.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
3.3161326905883964e-34
7.307463706858185e-34
7.0ms
-1.3365753841016024e+105
-2.715591888979792e+104
Samples
10.0ms176×0valid
Compiler

Compiled 189 to 122 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 4.0ms (73.1% of total)
ival-mult: 1.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.3%)

Memory
32.5MiB live, 32.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
2.67999847992547e-78
4.1994340843520454e-76
6.0ms
-2.538572837882947e-48
-1.0907309802557501e-48
Samples
8.0ms192×0valid
Compiler

Compiled 193 to 132 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (62.2% of total)
ival-mult: 1.0ms (31.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.6%)

Memory
-39.2MiB live, 43.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
5.82037533209015e-12
8.705440674802984e-7
10.0ms
-9.964851223983627e-21
-8.34310044507733e-22
Samples
13.0ms240×0valid
Compiler

Compiled 193 to 147 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (48.6% of total)
ival-mult: 2.0ms (48.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated
Algorithm
egg-herbie
Rules
if-if-or-not_binary32
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02860
13960
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 z y (fma.f64 x y x))
(fma.f64 (+.f64 x z) y x)
(if (<=.f64 x #s(literal -275000000000000008483982431133620176945503630347061244674319379272392793203520538179891892105283597500416 binary64)) (fma.f64 y x x) (if (<=.f64 x #s(literal 5495246156364195/11692013098647223345629478661730264157247460343808 binary64)) (fma.f64 z y x) (fma.f64 y x x)))
(if (<=.f64 x #s(literal -7898421875141789/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (fma.f64 y x x) (if (<=.f64 x #s(literal 3389627864620585/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (*.f64 z y) (fma.f64 y x x)))
(if (<=.f64 y #s(literal -5449834782718155/664613997892457936451903530140172288 binary64)) (*.f64 z y) (if (<=.f64 y #s(literal 5289050460814003/75557863725914323419136 binary64)) x (*.f64 z y)))
x
Outputs
(fma.f64 z y (fma.f64 x y x))
(fma.f64 (+.f64 x z) y x)
(fma.f64 (+.f64 z x) y x)
(if (<=.f64 x #s(literal -275000000000000008483982431133620176945503630347061244674319379272392793203520538179891892105283597500416 binary64)) (fma.f64 y x x) (if (<=.f64 x #s(literal 5495246156364195/11692013098647223345629478661730264157247460343808 binary64)) (fma.f64 z y x) (fma.f64 y x x)))
(if (<=.f64 x #s(literal -7898421875141789/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (fma.f64 y x x) (if (<=.f64 x #s(literal 3389627864620585/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (*.f64 z y) (fma.f64 y x x)))
(if (<=.f64 y #s(literal -5449834782718155/664613997892457936451903530140172288 binary64)) (*.f64 z y) (if (<=.f64 y #s(literal 5289050460814003/75557863725914323419136 binary64)) x (*.f64 z y)))
x

soundness1.1s (20.2%)

Memory
26.5MiB live, 580.8MiB allocated
Rules
12 246×accelerator-lowering-fma.f32
12 246×accelerator-lowering-fma.f64
6 302×accelerator-lowering-fma.f32
6 302×accelerator-lowering-fma.f64
4 948×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070506
1249452
2731452
32098452
44324452
55687452
66812452
77730452
08120422
0615
13815
234815
3426115
0861814
01330
18928
279028
0858124
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 153 to 79 computations (48.4% saved)

preprocess115.0ms (2.1%)

Memory
-39.4MiB live, 145.9MiB allocated
Compiler

Compiled 162 to 68 computations (58% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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