Linear.V2:$cdot from linear-1.19.1.3, A

Time bar (total: 4.2s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample1.1s (27.2%)

Memory
17.8MiB live, 719.9MiB allocated
Samples
633.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 449.0ms
ival-mult: 296.0ms (65.9% of total)
ival-add: 144.0ms (32.1% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess24.0ms (0.6%)

Memory
25.8MiB live, 25.8MiB allocated
Algorithm
egg-herbie
Rules
136×unsub-neg
92×associate-*r*
74×distribute-lft-neg-out
70×distribute-lft-neg-in
64×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037113
176105
2131105
3297105
4444105
5574105
6624105
7642105
077
1107
0106
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (* x y) (* z t))
Outputs
(+ (* x y) (* z t))
(fma.f64 x y (*.f64 z t))
Call 2
Inputs
(+ (* x y) (* z t))
(+ (* (neg x) y) (* z t))
(+ (* x (neg y)) (* z t))
(+ (* x y) (* (neg z) t))
(+ (* x y) (* z (neg t)))
(neg (+ (* (neg x) y) (* z t)))
(neg (+ (* x (neg y)) (* z t)))
(neg (+ (* x y) (* (neg z) t)))
(neg (+ (* x y) (* z (neg t))))
(+ (* y x) (* z t))
(+ (* z y) (* x t))
(+ (* t y) (* z x))
(+ (* x z) (* y t))
(+ (* x t) (* z y))
(+ (* x y) (* t z))
Outputs
(+ (* x y) (* z t))
(+ (* (neg x) y) (* z t))
(- (* z t) (* x y))
(+ (* x (neg y)) (* z t))
(- (* z t) (* x y))
(+ (* x y) (* (neg z) t))
(- (* x y) (* z t))
(+ (* x y) (* z (neg t)))
(- (* x y) (* z t))
(neg (+ (* (neg x) y) (* z t)))
(- (* x y) (* z t))
(neg (+ (* x (neg y)) (* z t)))
(- (* x y) (* z t))
(neg (+ (* x y) (* (neg z) t)))
(- (* z t) (* x y))
(neg (+ (* x y) (* z (neg t))))
(- (* z t) (* x y))
(+ (* y x) (* z t))
(+ (* x y) (* z t))
(+ (* z y) (* x t))
(+ (* y z) (* x t))
(+ (* t y) (* z x))
(+ (* x z) (* y t))
(+ (* x z) (* y t))
(+ (* x t) (* z y))
(+ (* y z) (* x t))
(+ (* x y) (* t z))
(+ (* x y) (* z t))
Symmetry

(sort x y)

(sort z t)

explain112.0ms (2.7%)

Memory
-39.5MiB live, 85.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(+.f64 (*.f64 x y) (*.f64 z t))
00-0-y
00-0-t
00-0-(*.f64 z t)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 z t))nan-rescue20
(*.f64 x y)overflow27
(*.f64 z t)overflow33
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (73.4% of total)
ival-add: 2.0ms (21% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(+.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify4.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z t)
cost-diff0
(*.f64 x y)
cost-diff128
(+.f64 (*.f64 x y) (*.f64 z t))
Rules
*-lowering-*.f32
*-lowering-*.f64
accelerator-lowering-fma.f32
accelerator-lowering-fma.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
11017
01016
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x y) (* z t))
(* x y)
x
y
(* z t)
z
t
Outputs
(+ (* x y) (* z t))
(fma.f64 x y (*.f64 z t))
(* x y)
(*.f64 x y)
x
y
(* z t)
(*.f64 z t)
z
t

localize18.0ms (0.4%)

Memory
26.1MiB live, 26.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z t)
accuracy100.0%
(*.f64 x y)
accuracy99.3%
(+.f64 (*.f64 x y) (*.f64 z t))
Samples
12.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (63.4% of total)
ival-add: 1.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.4%)

Memory
-25.8MiB live, 11.8MiB allocated
Counts
3 → 96
Calls
Call 1
Inputs
#<alt (+ (* x y) (* z t))>
#<alt (* x y)>
#<alt (* z t)>
Outputs
#<alt (* t z)>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ (* t z) x)))>
#<alt (* x (+ y (/ (* t z) x)))>
#<alt (* x (+ y (/ (* t z) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))>
#<alt (* t z)>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* t z) y)))>
#<alt (* y (+ x (/ (* t z) y)))>
#<alt (* y (+ x (/ (* t z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))>
#<alt (* x y)>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (* t z)>
#<alt (* z (+ t (/ (* x y) z)))>
#<alt (* z (+ t (/ (* x y) z)))>
#<alt (* z (+ t (/ (* x y) z)))>
#<alt (* t z)>
#<alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))>
#<alt (* x y)>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (* t z)>
#<alt (* t (+ z (/ (* x y) t)))>
#<alt (* t (+ z (/ (* x y) t)))>
#<alt (* t (+ z (/ (* x y) t)))>
#<alt (* t z)>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
Calls

24 calls:

TimeVariablePointExpression
10.0ms
t
@-inf
(+ (* x y) (* z t))
1.0ms
y
@-inf
(* x y)
0.0ms
x
@-inf
(* x y)
0.0ms
z
@0
(+ (* x y) (* z t))
0.0ms
x
@0
(+ (* x y) (* z t))

rewrite507.0ms (12.2%)

Memory
23.5MiB live, 863.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 460×accelerator-lowering-fma.f32
11 460×accelerator-lowering-fma.f64
4 138×*-lowering-*.f32
4 138×*-lowering-*.f64
4 012×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
12313
217913
3184013
0823212
Stop Event
iter limit
node limit
Counts
3 → 175
Calls
Call 1
Inputs
(+ (* x y) (* z t))
(* x y)
(* z t)
Outputs
(+.f64 (*.f64 x y) (*.f64 z t))
(+.f64 (*.f64 z t) (*.f64 x y))
(+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t)))))
(+.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 z t) (*.f64 x y))) (neg.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 z t) (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z t)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 z t)))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x y (*.f64 z t))))
(-.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 z t) (*.f64 x y))) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 z t) (*.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))) (fma.f64 (*.f64 t (*.f64 t (*.f64 z z))) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 t (*.f64 t (*.f64 z z))) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))))) (-.f64 (*.f64 x y) (*.f64 z t))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y))))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (/.f64 (*.f64 (*.f64 z t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y))))) (-.f64 (*.f64 x y) (*.f64 z t))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x y (*.f64 z t))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) y) (*.f64 z t))) (-.f64 #s(literal 0 binary64) (fma.f64 x y (*.f64 z t))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))))) (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (*.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (fma.f64 (*.f64 t (*.f64 t (*.f64 z z))) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))))) (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (fma.f64 (*.f64 t (*.f64 t (*.f64 z z))) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y)))))) (/.f64 (*.f64 (*.f64 z t) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 x y) (*.f64 z t)))) (/.f64 (*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (*.f64 t (*.f64 t (*.f64 z z)))) (*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 x y) (*.f64 z t)))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))))) (fma.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (fma.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))))))) (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))))) (fma.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (fma.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))) (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z t)))) (fma.f64 x (/.f64 (*.f64 y (*.f64 x y)) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))))) (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t)))) (fma.f64 x (/.f64 (*.f64 y (*.f64 x y)) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t))))))
(fma.f64 x y (*.f64 z t))
(fma.f64 x (/.f64 (*.f64 y (*.f64 x y)) (-.f64 (*.f64 x y) (*.f64 z t))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t)))))
(fma.f64 y x (*.f64 z t))
(fma.f64 y (/.f64 (*.f64 x (*.f64 x y)) (-.f64 (*.f64 x y) (*.f64 z t))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t)))))
(fma.f64 (*.f64 x y) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z t))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z t)))))
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(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t (*.f64 t (*.f64 z z))) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (fma.f64 x y (*.f64 z t)) (-.f64 (*.f64 x y) (*.f64 z t)))) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 x y) (*.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y))) (*.f64 (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y))) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y))))))) (fma.f64 x (*.f64 (*.f64 y (*.f64 x y)) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y))) (-.f64 (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (*.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)))) (-.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)))))) (-.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x y (*.f64 z t)) (-.f64 (*.f64 x y) (*.f64 z t))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z t) (fma.f64 x y (*.f64 z t)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t (*.f64 t (*.f64 z z))) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (*.f64 (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (fma.f64 x y (*.f64 z t)) (-.f64 (*.f64 x y) (*.f64 z t))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)))) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)))) (*.f64 (fma.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))))))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(exp.f64 (log.f64 (*.f64 z t)))
(exp.f64 (*.f64 (log.f64 (*.f64 z t)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z t)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z t)))
(pow.f64 (*.f64 z t) #s(literal 1 binary64))
(*.f64 z t)
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z t)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 t #s(literal 1 binary64)))
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))

simplify179.0ms (4.3%)

Memory
-4.7MiB live, 309.6MiB allocated
Algorithm
egg-herbie
Rules
4 166×accelerator-lowering-fma.f32
4 166×accelerator-lowering-fma.f64
2 650×*-lowering-*.f32
2 650×*-lowering-*.f64
1 394×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040432
1149432
2468432
31237432
43337432
55648432
67136432
08051396
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* t z)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* x y)
(* x (+ y (/ (* t z) x)))
(* x (+ y (/ (* t z) x)))
(* x (+ y (/ (* t z) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* t z)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* x y)
(* y (+ x (/ (* t z) y)))
(* y (+ x (/ (* t z) y)))
(* y (+ x (/ (* t z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* x y)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* t z)
(* z (+ t (/ (* x y) z)))
(* z (+ t (/ (* x y) z)))
(* z (+ t (/ (* x y) z)))
(* t z)
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* x y)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* t z)
(* t (+ z (/ (* x y) t)))
(* t (+ z (/ (* x y) t)))
(* t (+ z (/ (* x y) t)))
(* t z)
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
Outputs
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))

eval29.0ms (0.7%)

Memory
4.8MiB live, 81.5MiB allocated
Compiler

Compiled 11 242 to 487 computations (95.7% saved)

prune33.0ms (0.8%)

Memory
0.6MiB live, 84.3MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2683271
Fresh000
Picked101
Done000
Total2693272
Accuracy
100.0%
Counts
272 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 z t (*.f64 x y))
51.3%
(fma.f64 x y #s(literal 0 binary64))
54.3%
(fma.f64 t z #s(literal 0 binary64))
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify4.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
11726
22026
02025
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* t z) 0)
t
z
0
(+ (* x y) 0)
x
y
0
(+ (* z t) (* x y))
z
t
(* x y)
x
y
Outputs
(+ (* t z) 0)
(fma.f64 t z #s(literal 0 binary64))
t
z
0
#s(literal 0 binary64)
(+ (* x y) 0)
(fma.f64 x y #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
(+ (* z t) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
z
t
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y

localize30.0ms (0.7%)

Memory
-21.7MiB live, 54.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy99.2%
(fma.f64 z t (*.f64 x y))
accuracy100.0%
(fma.f64 x y #s(literal 0 binary64))
accuracy100.0%
(fma.f64 t z #s(literal 0 binary64))
Samples
20.0ms256×0valid
Compiler

Compiled 29 to 13 computations (55.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (57% of total)
ival-add: 3.0ms (34.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#<alt (+ (* t z) 0)>
#<alt (+ (* x y) 0)>
#<alt (+ (* z t) (* x y))>
#<alt (* x y)>
Outputs
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (* t z)>
#<alt (* z (+ t (/ (* x y) z)))>
#<alt (* z (+ t (/ (* x y) z)))>
#<alt (* z (+ t (/ (* x y) z)))>
#<alt (* t z)>
#<alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))>
#<alt (* x y)>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (* t z)>
#<alt (* t (+ z (/ (* x y) t)))>
#<alt (* t (+ z (/ (* x y) t)))>
#<alt (* t (+ z (/ (* x y) t)))>
#<alt (* t z)>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))>
#<alt (* t z)>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ (* t z) x)))>
#<alt (* x (+ y (/ (* t z) x)))>
#<alt (* x (+ y (/ (* t z) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))>
#<alt (* t z)>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (+ (* t z) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* t z) y)))>
#<alt (* y (+ x (/ (* t z) y)))>
#<alt (* y (+ x (/ (* t z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

30 calls:

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

rewrite462.0ms (11.1%)

Memory
20.6MiB live, 767.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
12 506×accelerator-lowering-fma.f32
12 506×accelerator-lowering-fma.f64
4 412×*-lowering-*.f32
4 412×*-lowering-*.f64
3 766×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
15516
265816
0908915
Stop Event
iter limit
node limit
Counts
4 → 1 044
Calls
Call 1
Inputs
(+ (* t z) 0)
(+ (* x y) 0)
(+ (* z t) (* x y))
(* x y)
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 t z #s(literal 0 binary64)))
(+.f64 (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t z #s(literal 0 binary64))))
(-.f64 (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 t (*.f64 (fma.f64 t (*.f64 z z) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 z t #s(literal 0 binary64))
(fma.f64 z (*.f64 (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 t z #s(literal 0 binary64)) (/.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 t z #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 t z #s(literal 0 binary64)) (*.f64 (fma.f64 t z #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 t (*.f64 z (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 t (*.f64 z (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64))) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 t z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (fma.f64 t z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 t t) (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (*.f64 (*.f64 t t) (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 t (*.f64 z z) #s(literal 0 binary64)) (*.f64 t (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 t t) (/.f64 (fma.f64 t (*.f64 z z) #s(literal 0 binary64)) z) #s(literal 0 binary64))
(fma.f64 (/.f64 t z) (/.f64 (fma.f64 t (*.f64 z z) #s(literal 0 binary64)) t) #s(literal 0 binary64))
(fma.f64 (/.f64 z z) (/.f64 (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) t) #s(literal 0 binary64))
(fma.f64 (/.f64 z t) (/.f64 (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) z) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) t) (/.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t (*.f64 z z) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) z) (/.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 t t)) (/.f64 (fma.f64 t z #s(literal 0 binary64)) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 z z)) (/.f64 (fma.f64 t z #s(literal 0 binary64)) (*.f64 t t)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 t z #s(literal 0 binary64)) z) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 t (*.f64 z z) #s(literal 0 binary64))) (/.f64 (fma.f64 t z #s(literal 0 binary64)) t) #s(literal 0 binary64))
(fma.f64 (/.f64 t (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 t (*.f64 z z) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 z (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64))) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 t t) (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 t t) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 t z #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 t (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t (*.f64 z z) #s(literal 0 binary64)) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t z #s(literal 0 binary64)) t) (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 t (*.f64 z z) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t z #s(literal 0 binary64)) t) (/.f64 (fma.f64 t z #s(literal 0 binary64)) z) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t z #s(literal 0 binary64)) z) (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t z #s(literal 0 binary64)) z) (/.f64 (fma.f64 t z #s(literal 0 binary64)) t) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t (*.f64 z (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 t z #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 t (*.f64 t t)) t) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 t (*.f64 z z) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 z (*.f64 z z)) z) (/.f64 (*.f64 t (*.f64 t t)) (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 t (*.f64 t t)) z) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 z (*.f64 z z)) t) (/.f64 (*.f64 t (*.f64 t t)) (fma.f64 t (*.f64 z z) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (fma.f64 t z #s(literal 0 binary64)) #s(literal 3/2 binary64)) t) (/.f64 (pow.f64 (fma.f64 t z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 t (*.f64 z z) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (fma.f64 t z #s(literal 0 binary64)) #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 (fma.f64 t z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t z #s(literal 0 binary64)) (*.f64 t t)) (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t z #s(literal 0 binary64)) (*.f64 z z)) (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 t t)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t (*.f64 z z) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) t) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (fma.f64 t z #s(literal 0 binary64)) #s(literal 0 binary64)) z) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 t (*.f64 z z) #s(literal 0 binary64))) (/.f64 (*.f64 t (*.f64 t t)) t) #s(literal 0 binary64))
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(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 y y) #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) x))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) y))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x y #s(literal 0 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x y #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x y #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x y #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y y) #s(literal 0 binary64))) (/.f64 (*.f64 y (*.f64 y y)) x))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y (*.f64 y y)) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (*.f64 y y) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x y #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x y #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y)) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x x)))
(*.f64 (/.f64 x x) (/.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) y) (/.f64 x x))
(*.f64 (/.f64 x y) (/.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) x) (/.f64 x y))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 y x) (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 y x))
(*.f64 (/.f64 y y) (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 y y))
(*.f64 (/.f64 y (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 y y) y))
(*.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 y y) x))
(*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 y y) (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))

simplify192.0ms (4.6%)

Memory
-10.3MiB live, 265.6MiB allocated
Algorithm
egg-herbie
Rules
4 166×accelerator-lowering-fma.f32
4 166×accelerator-lowering-fma.f64
2 650×*-lowering-*.f32
2 650×*-lowering-*.f64
1 394×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040504
1149504
2468504
31236504
43367504
55678504
67167504
08024468
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* t z)
(* z (+ t (/ (* x y) z)))
(* z (+ t (/ (* x y) z)))
(* z (+ t (/ (* x y) z)))
(* t z)
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(* x y)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* t z)
(* t (+ z (/ (* x y) t)))
(* t (+ z (/ (* x y) t)))
(* t (+ z (/ (* x y) t)))
(* t z)
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(* t z)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* x y)
(* x (+ y (/ (* t z) x)))
(* x (+ y (/ (* t z) x)))
(* x (+ y (/ (* t z) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(* t z)
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(+ (* t z) (* x y))
(* x y)
(* y (+ x (/ (* t z) y)))
(* y (+ x (/ (* t z) y)))
(* y (+ x (/ (* t z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* z (+ t (/ (* x y) z)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t (+ z (/ (* x y) t)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (* t z) x)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* t z)
(fma.f64 t z #s(literal 0 binary64))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(+ (* t z) (* x y))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (* t z) y)))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))
(fma.f64 t z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval383.0ms (9.2%)

Memory
24.5MiB live, 308.1MiB allocated
Compiler

Compiled 33 259 to 1 620 computations (95.1% saved)

prune196.0ms (4.7%)

Memory
-25.2MiB live, 333.2MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1 16221 164
Fresh000
Picked213
Done000
Total1 16431 167
Accuracy
100.0%
Counts
1 167 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 z t (*.f64 x y))
54.3%
(*.f64 z t)
51.3%
(*.f64 y x)
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z t)
cost-diff0
(*.f64 y x)
Rules
*-lowering-*.f32
*-lowering-*.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1810
0810
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* y x)
y
x
(* z t)
z
t
Outputs
(* y x)
(*.f64 y x)
y
x
(* z t)
(*.f64 z t)
z
t

localize17.0ms (0.4%)

Memory
-5.9MiB live, 32.1MiB allocated
Localize:

Found 2 expressions of interest:

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

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 5.0ms (98.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#<alt (* y x)>
#<alt (* z t)>
Outputs
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
Calls

12 calls:

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

rewrite8.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
*-lowering-*.f32
*-lowering-*.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
186
086
Stop Event
iter limit
saturated
Counts
2 → 4
Calls
Call 1
Inputs
(* y x)
(* z t)
Outputs
(*.f64 y x)
(*.f64 x y)
(*.f64 z t)
(*.f64 t z)

simplify6.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Algorithm
egg-herbie
Rules
*-lowering-*.f32
*-lowering-*.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06144
18144
08144
Stop Event
iter limit
saturated
Counts
48 → 48
Calls
Call 1
Inputs
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
Outputs
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)

eval7.0ms (0.2%)

Memory
-26.3MiB live, 11.1MiB allocated
Compiler

Compiled 160 to 8 computations (95% saved)

prune3.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh000
Picked022
Done011
Total52355
Accuracy
100.0%
Counts
55 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 z t (*.f64 x y))
54.3%
(*.f64 z t)
51.3%
(*.f64 y x)
Compiler

Compiled 55 to 28 computations (49.1% saved)

regimes19.0ms (0.5%)

Memory
6.3MiB live, 45.3MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z t)
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z t (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 z t))
Outputs
(fma.f64 z t (*.f64 x y))
Calls

7 calls:

3.0ms
z
3.0ms
y
3.0ms
(*.f64 z t)
3.0ms
x
3.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%1(+.f64 (*.f64 x y) (*.f64 z t))
99.2%1(*.f64 x y)
99.2%1(*.f64 z t)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes19.0ms (0.5%)

Memory
-29.4MiB live, 26.4MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z t)
(fma.f64 t z #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
Outputs
(*.f64 z t)
(*.f64 y x)
(*.f64 z t)
Calls

7 calls:

6.0ms
y
2.0ms
x
2.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
2.0ms
t
2.0ms
z
Results
AccuracySegmentsBranch
71.1%3x
75.6%3y
76.7%3z
74.6%3t
63.6%4(+.f64 (*.f64 x y) (*.f64 z t))
77.2%3(*.f64 x y)
79.9%3(*.f64 z t)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes9.0ms (0.2%)

Memory
27.8MiB live, 27.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 y x)
Outputs
(*.f64 y x)
Calls

7 calls:

1.0ms
x
1.0ms
y
1.0ms
t
1.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
1.0ms
z
Results
AccuracySegmentsBranch
51.3%1(+.f64 (*.f64 x y) (*.f64 z t))
51.3%1x
51.3%1t
51.3%1y
51.3%1z
51.3%1(*.f64 x y)
51.3%1(*.f64 z t)
Compiler

Compiled 45 to 33 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5106085349826625e+43
2.2585952445648249e+49
0.0ms
-2.822378579060553e-23
-1.7960776431638927e-24
Compiler

Compiled 14 to 14 computations (0% saved)

simplify8.0ms (0.2%)

Memory
-27.8MiB live, 11.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01428
11928
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 z t (*.f64 x y))
(if (<=.f64 (*.f64 z t) #s(literal -6805647338418769/340282366920938463463374607431768211456 binary64)) (*.f64 z t) (if (<=.f64 (*.f64 z t) #s(literal 50000000000000004410680702653211320350932992 binary64)) (*.f64 y x) (*.f64 z t)))
(*.f64 y x)
Outputs
(fma.f64 z t (*.f64 x y))
(if (<=.f64 (*.f64 z t) #s(literal -6805647338418769/340282366920938463463374607431768211456 binary64)) (*.f64 z t) (if (<=.f64 (*.f64 z t) #s(literal 50000000000000004410680702653211320350932992 binary64)) (*.f64 y x) (*.f64 z t)))
(if (<=.f64 (*.f64 z t) #s(literal -6805647338418769/340282366920938463463374607431768211456 binary64)) (*.f64 z t) (if (<=.f64 (*.f64 z t) #s(literal 50000000000000004410680702653211320350932992 binary64)) (*.f64 x y) (*.f64 z t)))
(*.f64 y x)
(*.f64 x y)

soundness695.0ms (16.7%)

Memory
11.1MiB live, 401.5MiB allocated
Rules
12 506×accelerator-lowering-fma.f32
12 506×accelerator-lowering-fma.f64
11 460×accelerator-lowering-fma.f32
11 460×accelerator-lowering-fma.f64
4 412×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
15516
265816
0908915
0713
12313
217913
3184013
0823212
040432
1149432
2468432
31237432
43337432
55648432
67136432
08051396
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 89 to 52 computations (41.6% saved)

preprocess40.0ms (1%)

Memory
9.1MiB live, 88.4MiB allocated
Remove

(sort z t)

(sort x y)

Compiler

Compiled 170 to 88 computations (48.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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