Linear.Projection:inverseInfinitePerspective from linear-1.19.1.3

Time bar (total: 13.9s)

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 11 to 10 computations (9.1% saved)

sample883.0ms (6.3%)

Memory
24.6MiB live, 1 278.4MiB allocated
Samples
612.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 386.0ms
ival-mult: 340.0ms (88.1% of total)
ival-sub: 38.0ms (9.8% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess142.0ms (1%)

Memory
4.9MiB live, 162.0MiB allocated
Algorithm
egg-herbie
Rules
986×unsub-neg
784×accelerator-lowering-fma.f32
784×accelerator-lowering-fma.f64
562×distribute-lft-in
516×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046112
1159107
2386107
31344107
42627107
53532107
63589107
73591107
83591107
93591107
103591107
087
1187
2427
3987
41887
52657
63967
76067
89907
910987
1011107
1111107
011107
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (- (* x y) (* z y)) t)
Outputs
(* (- (* x y) (* z y)) t)
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
Call 2
Inputs
(* (- (* x y) (* z y)) t)
(* (- (* (neg x) y) (* z y)) t)
(* (- (* x (neg y)) (* z (neg y))) t)
(* (- (* x y) (* (neg z) y)) t)
(* (- (* x y) (* z y)) (neg t))
(neg (* (- (* (neg x) y) (* z y)) t))
(neg (* (- (* x (neg y)) (* z (neg y))) t))
(neg (* (- (* x y) (* (neg z) y)) t))
(neg (* (- (* x y) (* z y)) (neg t)))
(* (- (* y x) (* z x)) t)
(* (- (* z y) (* x y)) t)
(* (- (* t y) (* z y)) x)
(* (- (* x z) (* y z)) t)
(* (- (* x t) (* z t)) y)
(* (- (* x y) (* t y)) z)
Outputs
(* (- (* x y) (* z y)) t)
(* (* y t) (- x z))
(* (- (* (neg x) y) (* z y)) t)
(* y (* t (- (neg x) z)))
(* (- (* x (neg y)) (* z (neg y))) t)
(* (* y t) (- z x))
(* (- (* x y) (* (neg z) y)) t)
(* y (* t (+ x z)))
(* (- (* x y) (* z y)) (neg t))
(* (* y t) (- z x))
(neg (* (- (* (neg x) y) (* z y)) t))
(* y (* t (+ x z)))
(neg (* (- (* x (neg y)) (* z (neg y))) t))
(* (* y t) (- x z))
(neg (* (- (* x y) (* (neg z) y)) t))
(* y (* t (- (neg x) z)))
(neg (* (- (* x y) (* z y)) (neg t)))
(* (* y t) (- x z))
(* (- (* y x) (* z x)) t)
(* t (* x (- y z)))
(* (- (* z y) (* x y)) t)
(* (* y t) (- z x))
(* (- (* t y) (* z y)) x)
(* y (* x (- t z)))
(* (- (* x z) (* y z)) t)
(* t (* z (- x y)))
(* (- (* x t) (* z t)) y)
(* (* y t) (- x z))
(* (- (* x y) (* t y)) z)
(* (* y z) (- x t))
Symmetry

(negabs y)

(negabs t)

(sort y t)

explain173.0ms (1.2%)

Memory
7.5MiB live, 165.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
60-2(5.564999309773568e-184 5.874607118848976e-292 5.493833114784185e-19 2.8529038082249134e+242)(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
20-0-(-.f64 (*.f64 x y) (*.f64 z y))
00-0-y
00-0-t
00-0-(*.f64 z y)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)n*u40
-.f64(-.f64 (*.f64 x y) (*.f64 z y))nan-rescue20
(*.f64 x y)overflow10
(*.f64 z y)overflow10
Confusion
Predicted +Predicted -
+62
-0248
Precision
1.0
Recall
0.75
Confusion?
Predicted +Predicted MaybePredicted -
+602
-00248
Precision?
1.0
Recall?
0.75
Freqs
test
numberfreq
0250
16
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms512×0valid
Compiler

Compiled 82 to 36 computations (56.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 10.0ms (80.8% of total)
ival-sub: 2.0ms (16.2% 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
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify44.0ms (0.3%)

Memory
-1.1MiB live, 75.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 z y)
cost-diff-64
(*.f64 x y)
cost-diff-64
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
cost-diff384
(-.f64 (*.f64 x y) (*.f64 z y))
Rules
784×accelerator-lowering-fma.f32
784×accelerator-lowering-fma.f64
496×*-lowering-*.f32
496×*-lowering-*.f64
200×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
11822
24222
39822
418822
526522
639622
760622
899022
9109822
10111022
11111022
0111022
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (- (* x y) (* z y)) t)
(- (* x y) (* z y))
(* x y)
x
y
(* z y)
z
t
Outputs
(* (- (* x y) (* z y)) t)
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(- (* x y) (* z y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
(* z y)
(fma.f64 y z #s(literal 0 binary64))
z
t

localize30.0ms (0.2%)

Memory
-37.3MiB live, 57.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(*.f64 x y)
accuracy99.3%
(-.f64 (*.f64 x y) (*.f64 z y))
accuracy98.3%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
Samples
22.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (81.2% of total)
ival-sub: 1.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-10.9MiB live, 28.3MiB allocated
Counts
4 → 132
Calls
Call 1
Inputs
#<alt (- (* x y) (* z y))>
#<alt (* (- (* x y) (* z y)) t)>
#<alt (* x y)>
#<alt (* z y)>
Outputs
#<alt (* -1 (* y z))>
#<alt (- (* x y) (* y z))>
#<alt (- (* x y) (* y z))>
#<alt (- (* x y) (* y z))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<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 (* -1 (* y (- (* -1 x) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 x) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 x) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 x) (* -1 z))))>
#<alt (* x y)>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (* -1 (* y z))>
#<alt (* z (- (/ (* x y) z) y))>
#<alt (* z (- (/ (* x y) z) y))>
#<alt (* z (- (/ (* x y) z) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))>
#<alt (* -1 (* t (* y z)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* t (* x y))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* t (* x y))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* -1 (* t (* y (- (* -1 x) (* -1 z)))))>
#<alt (* -1 (* t (* y (- (* -1 x) (* -1 z)))))>
#<alt (* -1 (* t (* y (- (* -1 x) (* -1 z)))))>
#<alt (* -1 (* t (* y (- (* -1 x) (* -1 z)))))>
#<alt (* t (* x y))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* t (- (* x y) (* y z)))>
#<alt (* t (- (* x y) (* y z)))>
#<alt (* t (- (* x y) (* y z)))>
#<alt (* t (- (* x y) (* y z)))>
#<alt (* t (- (* x y) (* y z)))>
#<alt (* t (- (* x y) (* y z)))>
#<alt (* t (- (* x y) (* y z)))>
#<alt (* t (- (* x y) (* y z)))>
#<alt (* t (- (* x y) (* y z)))>
#<alt (* t (- (* x y) (* y z)))>
#<alt (* t (- (* x y) (* y z)))>
#<alt (* t (- (* x y) (* y 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 (* 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

33 calls:

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

rewrite584.0ms (4.2%)

Memory
21.2MiB live, 845.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 204×accelerator-lowering-fma.f32
11 204×accelerator-lowering-fma.f64
4 348×*-lowering-*.f32
4 348×*-lowering-*.f64
3 242×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
13118
223318
3232818
0826218
Stop Event
iter limit
node limit
Counts
4 → 290
Calls
Call 1
Inputs
(- (* x y) (* z y))
(* (- (* x y) (* z y)) t)
(* x y)
(* z y)
Outputs
(+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (*.f64 x y))
(+.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))) (neg.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (/.f64 (*.f64 y z) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x z))) (neg.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 y (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x y) (*.f64 y z))
(-.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (/.f64 (*.f64 y z) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 y (+.f64 x z))) (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 y (+.f64 x z))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y z) (*.f64 x y)))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 y z))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z)))) (/.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 (*.f64 y (*.f64 z (*.f64 (*.f64 y z) (*.f64 y z)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 (*.f64 y z) (*.f64 y z)))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 y z)))))) (fma.f64 (*.f64 y (*.f64 z (*.f64 (*.f64 y z) (*.f64 y z)))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 y z))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))))
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(fma.f64 t (*.f64 x y) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(fma.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z)) (*.f64 x (*.f64 y t)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) t (*.f64 x (*.f64 y t)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y t) (*.f64 x (*.f64 y t)))
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(fma.f64 (*.f64 y t) (-.f64 #s(literal 0 binary64) z) (*.f64 x (*.f64 y t)))
(fma.f64 (*.f64 t x) y (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(fma.f64 (*.f64 t z) (-.f64 #s(literal 0 binary64) y) (*.f64 x (*.f64 y t)))
(fma.f64 (*.f64 t (-.f64 #s(literal 0 binary64) z)) y (*.f64 x (*.f64 y t)))
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(/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))))
(/.f64 (*.f64 t (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z))) (*.f64 y (-.f64 x z)))) (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z))))
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
(/.f64 (*.f64 (*.f64 y t) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (fma.f64 z (+.f64 x z) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y t) (*.f64 (+.f64 x z) (-.f64 x z))) (+.f64 x z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) t) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z))) (*.f64 y (-.f64 x z))) t) (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z))))
(/.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
(/.f64 (/.f64 (*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) y) (+.f64 x z))
(/.f64 (neg.f64 t) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 t (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 y t)) (*.f64 (*.f64 x (*.f64 y t)) (*.f64 x (*.f64 y t))) (*.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))) (*.f64 (*.f64 (*.f64 y z) t) (*.f64 (*.f64 y z) t))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 y t)) (*.f64 x (*.f64 y t)) (-.f64 (*.f64 (*.f64 (*.f64 y z) t) (*.f64 (*.f64 y z) t)) (*.f64 (*.f64 x (*.f64 y t)) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y t)) (*.f64 x (*.f64 y t))) (*.f64 (*.f64 (*.f64 y z) t) (*.f64 (*.f64 y z) t)))) (neg.f64 (-.f64 (*.f64 x (*.f64 y t)) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))))))
(/.f64 (neg.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 t (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z))) (*.f64 y (-.f64 x z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z)))))
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))))
(/.f64 (neg.f64 (*.f64 (*.f64 y t) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) (neg.f64 (fma.f64 z (+.f64 x z) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 y t) (*.f64 (+.f64 x z) (-.f64 x z)))) (neg.f64 (+.f64 x z)))
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(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z))) (*.f64 y (-.f64 x z))) t)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))))
(/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) y)) (neg.f64 (+.f64 x z)))
(/.f64 (fma.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))) (*.f64 (*.f64 (*.f64 y z) t) (*.f64 (*.f64 y z) t)) (*.f64 (*.f64 x (*.f64 y t)) (*.f64 (*.f64 x (*.f64 y t)) (*.f64 x (*.f64 y t))))) (fma.f64 (*.f64 (*.f64 y z) t) (*.f64 (*.f64 y z) t) (-.f64 (*.f64 (*.f64 x (*.f64 y t)) (*.f64 x (*.f64 y t))) (*.f64 (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))) (*.f64 x (*.f64 y t))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 t (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (+.f64 x z)) (*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))))) #s(literal -1 binary64))
(*.f64 y (*.f64 t (-.f64 x z)))
(*.f64 (*.f64 y (-.f64 x z)) t)
(*.f64 t (*.f64 y (-.f64 x z)))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))) t))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (/.f64 t (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))))
(*.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))) t))
(*.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) (/.f64 t (*.f64 y (+.f64 x z))))
(*.f64 (-.f64 x z) (*.f64 y t))
(*.f64 (*.f64 y t) (-.f64 x z))
(*.f64 (*.f64 t (-.f64 x z)) y)
(*.f64 (*.f64 t (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y))))))
(*.f64 (*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))))
(*.f64 (/.f64 t y) (/.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) (+.f64 x z)))
(*.f64 (/.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) y) (/.f64 t (+.f64 x z)))
(*.f64 (/.f64 (*.f64 t (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 z (*.f64 (*.f64 y z) (*.f64 y z)))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))))))) (fma.f64 (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z))) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))))))
(*.f64 (/.f64 (*.f64 t (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (*.f64 (fma.f64 (*.f64 y z) (*.f64 y (+.f64 x z)) (*.f64 x (*.f64 x (*.f64 y y)))) (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z)))))) (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (*.f64 y z) (*.f64 y (+.f64 x z)))))
(*.f64 (/.f64 (*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) (*.f64 y (-.f64 x z)))
(*.f64 (/.f64 (*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y z)) (-.f64 z x))))
(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 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(*.f64 z y)
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z)))

simplify465.0ms (3.3%)

Memory
0.2MiB live, 348.3MiB allocated
Algorithm
egg-herbie
Rules
4 534×accelerator-lowering-fma.f32
4 534×accelerator-lowering-fma.f64
2 638×*-lowering-*.f32
2 638×*-lowering-*.f64
1 422×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056924
1194666
2574666
32066666
44650666
56765666
67401666
77851666
08112666
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* -1 (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* x y)
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* -1 (* y z))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* t (* y z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* t (* x y))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* t (* x y))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* t (* x y))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* -1 (* t (* y z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* -1 (* t (* y z)))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y z)))
(* t (- (* x y) (* y 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)
(* 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
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(- (* x y) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(- (* x y) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(- (* x y) (* y z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (- (* -1 x) (* -1 z))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* z (- (/ (* x y) z) y))
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* z (- (/ (* x y) z) y))
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* z (- (/ (* x y) z) y))
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* -1 (* t (* y z)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 z t #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* x y))
(fma.f64 y (fma.f64 x t #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* x y))
(fma.f64 y (fma.f64 x t #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* x y))
(fma.f64 y (fma.f64 x t #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* t (* y z)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 z t #s(literal 0 binary64)) #s(literal 0 binary64)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* t (* y z)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 z t #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- (* x y) (* y z)))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #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))

eval156.0ms (1.1%)

Memory
4.3MiB live, 164.9MiB allocated
Compiler

Compiled 15 338 to 1 061 computations (93.1% saved)

prune58.0ms (0.4%)

Memory
-3.7MiB live, 154.1MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4139422
Fresh000
Picked011
Done000
Total41310423
Accuracy
100.0%
Counts
423 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(fma.f64 (*.f64 x y) t (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))))
49.8%
(fma.f64 y (fma.f64 x t #s(literal 0 binary64)) #s(literal 0 binary64))
97.8%
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
86.4%
(*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 0 binary64)) t)
54.9%
(*.f64 (fma.f64 y x #s(literal 0 binary64)) t)
61.5%
(*.f64 (/.f64 t y) (/.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) (+.f64 x z)))
97.5%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
91.3%
(*.f64 (-.f64 x z) (*.f64 y t))
98.3%
(*.f64 (*.f64 (-.f64 x z) y) t)
88.8%
(*.f64 (*.f64 t (-.f64 x z)) y)
Compiler

Compiled 259 to 162 computations (37.5% saved)

simplify651.0ms (4.7%)

Memory
-12.8MiB live, 362.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 x z))
cost-diff0
(fma.f64 y z #s(literal 0 binary64))
cost-diff1088
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 0 binary64))
cost-diff-64
(*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z)))
cost-diff-64
(*.f64 x y)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 y z))
cost-diff768
(fma.f64 (*.f64 x y) t (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))))
cost-diff-64
(*.f64 t (-.f64 x z))
cost-diff-64
(*.f64 (*.f64 t (-.f64 x z)) y)
cost-diff0
(-.f64 x z)
cost-diff-64
(*.f64 (fma.f64 y x #s(literal 0 binary64)) t)
cost-diff0
(fma.f64 y x #s(literal 0 binary64))
cost-diff-64
(*.f64 (-.f64 x z) y)
cost-diff-64
(*.f64 (*.f64 (-.f64 x z) y) t)
cost-diff0
(-.f64 x z)
Rules
3 430×accelerator-lowering-fma.f32
3 430×accelerator-lowering-fma.f64
2 726×*-lowering-*.f32
2 726×*-lowering-*.f64
2 562×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026107
160107
2178107
3407107
4767107
51131107
62299107
74021107
86043107
97452107
08042107
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (* (- x z) y) t)
(* (- x z) y)
(- x z)
x
z
y
t
(* (+ (* y x) 0) t)
(+ (* y x) 0)
y
x
0
t
(* (* t (- x z)) y)
(* t (- x z))
t
(- x z)
x
z
y
(+ (* (* x y) t) (* t (- 0 (* y z))))
(* x y)
x
y
t
(* t (- 0 (* y z)))
(- 0 (* y z))
0
(* y z)
z
(* (+ (* (+ (* y z) 0) (+ -1 (/ x z))) 0) t)
(+ (* (+ (* y z) 0) (+ -1 (/ x z))) 0)
(+ (* y z) 0)
y
z
0
(+ -1 (/ x z))
-1
(/ x z)
x
t
Outputs
(* (* (- x z) y) t)
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* (- x z) y)
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(- x z)
(-.f64 x z)
x
z
y
t
(* (+ (* y x) 0) t)
(fma.f64 y (fma.f64 x t #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* y x) 0)
(fma.f64 x y #s(literal 0 binary64))
y
x
0
#s(literal 0 binary64)
t
(* (* t (- x z)) y)
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (- x z))
(fma.f64 (-.f64 x z) t #s(literal 0 binary64))
t
(- x z)
(-.f64 x z)
x
z
y
(+ (* (* x y) t) (* t (- 0 (* y z))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
t
(* t (- 0 (* y z)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 y t #s(literal 0 binary64))) #s(literal 0 binary64))
(- 0 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* y z)
(fma.f64 z y #s(literal 0 binary64))
z
(* (+ (* (+ (* y z) 0) (+ -1 (/ x z))) 0) t)
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (+ (* y z) 0) (+ -1 (/ x z))) 0)
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(+ (* y z) 0)
(fma.f64 z y #s(literal 0 binary64))
y
z
0
#s(literal 0 binary64)
(+ -1 (/ x z))
(+.f64 #s(literal -1 binary64) (/.f64 x z))
-1
#s(literal -1 binary64)
(/ x z)
(/.f64 x z)
x
t

localize84.0ms (0.6%)

Memory
30.3MiB live, 145.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 x z))
accuracy98.3%
(*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 0 binary64)) t)
accuracy84.5%
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 0 binary64))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 x y)
accuracy97.2%
(fma.f64 (*.f64 x y) t (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))))
accuracy93.7%
(*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z)))
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(*.f64 t (-.f64 x z))
accuracy88.8%
(*.f64 (*.f64 t (-.f64 x z)) y)
accuracy100.0%
(fma.f64 y x #s(literal 0 binary64))
accuracy95.8%
(*.f64 (fma.f64 y x #s(literal 0 binary64)) t)
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(*.f64 (-.f64 x z) y)
accuracy98.3%
(*.f64 (*.f64 (-.f64 x z) y) t)
Samples
56.0ms256×0valid
Compiler

Compiled 131 to 28 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 27.0ms (71.8% of total)
ival-add: 5.0ms (13.3% of total)
ival-sub: 3.0ms (8% of total)
ival-div: 2.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
-4.2MiB live, 73.3MiB allocated
Counts
17 → 564
Calls
Call 1
Inputs
#<alt (- x z)>
#<alt (* (* (- x z) y) t)>
#<alt (* (- x z) y)>
#<alt (+ (* y x) 0)>
#<alt (* (+ (* y x) 0) t)>
#<alt (* (* t (- x z)) y)>
#<alt (* t (- x z))>
#<alt (+ (* (* x y) t) (* t (- 0 (* y z))))>
#<alt (- 0 (* y z))>
#<alt (* x y)>
#<alt (* t (- 0 (* y z)))>
#<alt (+ (* (+ (* y z) 0) (+ -1 (/ x z))) 0)>
#<alt (+ (* y z) 0)>
#<alt (+ -1 (/ x z))>
#<alt (/ x z)>
#<alt (* y z)>
#<alt (* (+ (* (+ (* y z) 0) (+ -1 (/ x z))) 0) t)>
Outputs
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* t (* y z)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* t (* x y))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* t (* x y))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* t (* x y))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* -1 (* y z))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<alt (* x y)>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* 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)>
#<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 (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* t (* x y))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* t (* x y))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* t (* x y))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (- x z))>
#<alt (* t (- x z))>
#<alt (* t (- x z))>
#<alt (* t (- x z))>
#<alt (* t (- x z))>
#<alt (* t (- x z))>
#<alt (* t (- x z))>
#<alt (* t (- x z))>
#<alt (* t (- x z))>
#<alt (* t (- x z))>
#<alt (* t (- x z))>
#<alt (* t (- x z))>
#<alt (* -1 (* t z))>
#<alt (+ (* -1 (* t z)) (* t x))>
#<alt (+ (* -1 (* t z)) (* t x))>
#<alt (+ (* -1 (* t z)) (* t x))>
#<alt (* t x)>
#<alt (* x (+ t (* -1 (/ (* t z) x))))>
#<alt (* x (+ t (* -1 (/ (* t z) x))))>
#<alt (* x (+ t (* -1 (/ (* t z) x))))>
#<alt (* t x)>
#<alt (* -1 (* x (+ (* -1 t) (/ (* t z) x))))>
#<alt (* -1 (* x (+ (* -1 t) (/ (* t z) x))))>
#<alt (* -1 (* x (+ (* -1 t) (/ (* t z) x))))>
#<alt (* t x)>
#<alt (+ (* -1 (* t z)) (* t x))>
#<alt (+ (* -1 (* t z)) (* t x))>
#<alt (+ (* -1 (* t z)) (* t x))>
#<alt (* -1 (* t z))>
#<alt (* z (+ (* -1 t) (/ (* t x) z)))>
#<alt (* z (+ (* -1 t) (/ (* t x) z)))>
#<alt (* z (+ (* -1 t) (/ (* t x) z)))>
#<alt (* -1 (* t z))>
#<alt (* -1 (* z (+ t (* -1 (/ (* t x) z)))))>
#<alt (* -1 (* z (+ t (* -1 (/ (* t x) z)))))>
#<alt (* -1 (* z (+ t (* -1 (/ (* t x) z)))))>
#<alt (* -1 (* t (* y z)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* t (* x y))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* t (* x y))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* y (+ (* -1 (* t z)) (* t x)))>
#<alt (* y (+ (* -1 (* t z)) (* t x)))>
#<alt (* y (+ (* -1 (* t z)) (* t x)))>
#<alt (* y (+ (* -1 (* t z)) (* t x)))>
#<alt (* y (+ (* -1 (* t z)) (* t x)))>
#<alt (* y (+ (* -1 (* t z)) (* t x)))>
#<alt (* y (+ (* -1 (* t z)) (* t x)))>
#<alt (* y (+ (* -1 (* t z)) (* t x)))>
#<alt (* -1 (* y (+ (* -1 (* t x)) (* t z))))>
#<alt (* -1 (* y (+ (* -1 (* t x)) (* t z))))>
#<alt (* -1 (* y (+ (* -1 (* t x)) (* t z))))>
#<alt (* -1 (* y (+ (* -1 (* t x)) (* t z))))>
#<alt (* t (+ (* -1 (* y z)) (* x y)))>
#<alt (* t (+ (* -1 (* y z)) (* x y)))>
#<alt (* t (+ (* -1 (* y z)) (* x y)))>
#<alt (* t (+ (* -1 (* y z)) (* x y)))>
#<alt (* t (+ (* -1 (* y z)) (* x y)))>
#<alt (* t (+ (* -1 (* y z)) (* x y)))>
#<alt (* t (+ (* -1 (* y z)) (* x y)))>
#<alt (* t (+ (* -1 (* y z)) (* x y)))>
#<alt (* -1 (* t (+ (* -1 (* x y)) (* y z))))>
#<alt (* -1 (* t (+ (* -1 (* x y)) (* y z))))>
#<alt (* -1 (* t (+ (* -1 (* x y)) (* y z))))>
#<alt (* -1 (* t (+ (* -1 (* x y)) (* y z))))>
#<alt (* t (* x y))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y 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 (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* x y)>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* y z))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<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 -1>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt (/ x z)>
#<alt (* x (- (/ 1 z) (/ 1 x)))>
#<alt (* x (- (/ 1 z) (/ 1 x)))>
#<alt (* x (- (/ 1 z) (/ 1 x)))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))>
#<alt (* -1 (* x (- (/ 1 x) (/ 1 z))))>
#<alt (/ x z)>
#<alt (/ (+ x (* -1 z)) z)>
#<alt (/ (+ x (* -1 z)) z)>
#<alt (/ (+ x (* -1 z)) z)>
#<alt -1>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt -1>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt (- (/ x z) 1)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (* y 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 (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* x y))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* t (* y z)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* t (* x y))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* t (* x y))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
Calls

141 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(* (* (- x z) y) t)
3.0ms
x
@0
(+ (* (+ (* y z) 0) (+ -1 (/ x z))) 0)
3.0ms
t
@inf
(* (+ (* y x) 0) t)
1.0ms
x
@0
(* (* (- x z) y) t)
1.0ms
y
@0
(+ (* (+ (* y z) 0) (+ -1 (/ x z))) 0)

rewrite815.0ms (5.8%)

Memory
-14.4MiB live, 1 025.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 244×accelerator-lowering-fma.f32
6 244×accelerator-lowering-fma.f64
5 444×*-lowering-*.f32
5 444×*-lowering-*.f64
4 702×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02689
114489
2157589
0838289
Stop Event
iter limit
node limit
Counts
17 → 2 546
Calls
Call 1
Inputs
(- x z)
(* (* (- x z) y) t)
(* (- x z) y)
(+ (* y x) 0)
(* (+ (* y x) 0) t)
(* (* t (- x z)) y)
(* t (- x z))
(+ (* (* x y) t) (* t (- 0 (* y z))))
(- 0 (* y z))
(* x y)
(* t (- 0 (* y z)))
(+ (* (+ (* y z) 0) (+ -1 (/ x z))) 0)
(+ (* y z) 0)
(+ -1 (/ x z))
(/ x z)
(* y z)
(* (+ (* (+ (* y z) 0) (+ -1 (/ x z))) 0) t)
Outputs
(+.f64 x (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) x)
(-.f64 x z)
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal 0 binary64) z))) (/.f64 (*.f64 z z) (-.f64 x (-.f64 #s(literal 0 binary64) z))))
(fma.f64 #s(literal -1 binary64) z x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))
(/.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (fma.f64 z (+.f64 x z) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (+.f64 x z))
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (neg.f64 (fma.f64 z (+.f64 x z) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (-.f64 #s(literal 0 binary64) z))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) (neg.f64 (+.f64 x z)))
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z))) (neg.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x 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 (neg.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 x z)))) (neg.f64 (neg.f64 (+.f64 x z))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) z) x))))
(pow.f64 (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(+.f64 (*.f64 x (*.f64 y t)) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(+.f64 (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)) (*.f64 x (*.f64 y t)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y t)) (*.f64 x (*.f64 y t))) (*.f64 t (-.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))))) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 t t)) (*.f64 t (-.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 t t)) (-.f64 (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)) (*.f64 x (*.f64 y t)))) (/.f64 (*.f64 (*.f64 x (*.f64 y t)) (*.f64 x (*.f64 y t))) (-.f64 (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)) (*.f64 x (*.f64 y t)))))
(fma.f64 x (*.f64 y t) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 y (*.f64 x t) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 t (fma.f64 x y #s(literal 0 binary64)) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))) (*.f64 x (*.f64 y t)))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) t (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))) t (*.f64 x (*.f64 y t)))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) (/.f64 t (fma.f64 x y #s(literal 0 binary64))) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (*.f64 y t) x (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) (/.f64 t (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)))) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (*.f64 t x) y (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) z) (/.f64 t y) (*.f64 x (*.f64 y t)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) y) (/.f64 t z) (*.f64 x (*.f64 y t)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 t (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 x (*.f64 y t)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 t (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 0 binary64)))) (*.f64 x (*.f64 y t)))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) y) (/.f64 t x) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) x) (/.f64 t y) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64))) (/.f64 t (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y y)) (/.f64 t (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (/.f64 t (*.f64 y y)) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 t (*.f64 x (fma.f64 x y #s(literal 0 binary64)))) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 t (*.f64 y (fma.f64 x y #s(literal 0 binary64)))) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x y #s(literal 0 binary64)) x)) (/.f64 t y) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x y #s(literal 0 binary64)) y)) (/.f64 t x) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) y) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t x) (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (fma.f64 x y #s(literal 0 binary64)))) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t y) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) z) (*.f64 x (*.f64 y t)))
(fma.f64 (/.f64 t y) (/.f64 (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) x) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t y) (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x y #s(literal 0 binary64)))) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t y) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 z (fma.f64 z y #s(literal 0 binary64)))) (*.f64 x (*.f64 y t)))
(fma.f64 (/.f64 t (fma.f64 x y #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t (*.f64 x x)) (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y y)) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t (*.f64 y y)) (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 z z)) (*.f64 x (*.f64 y t)))
(fma.f64 (/.f64 t (*.f64 (fma.f64 x y #s(literal 0 binary64)) x)) (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) y) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t (*.f64 (fma.f64 x y #s(literal 0 binary64)) y)) (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)))) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))) (neg.f64 (*.f64 (fma.f64 z y #s(literal 0 binary64)) t)))
(fma.f64 (/.f64 t z) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) y) (*.f64 x (*.f64 y t)))
(fma.f64 (/.f64 t z) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 y (fma.f64 z y #s(literal 0 binary64)))) (*.f64 x (*.f64 y t)))
(fma.f64 (/.f64 t (fma.f64 z y #s(literal 0 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z y #s(literal 0 binary64))) (*.f64 x (*.f64 y t)))
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(*.f64 (/.f64 t (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) y)) (/.f64 (fma.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 0 binary64)) z))

simplify282.0ms (2%)

Memory
19.6MiB live, 457.0MiB allocated
Algorithm
egg-herbie
Rules
6 446×accelerator-lowering-fma.f32
6 446×accelerator-lowering-fma.f64
3 414×*-lowering-*.f32
3 414×*-lowering-*.f64
1 260×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01043858
13662838
210702838
330032838
448492838
567312838
080822838
Stop Event
iter limit
node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* t (* y z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
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(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
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(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
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(+ (* -1 (* t (* y z))) (* t (* x y)))
(* -1 (* t (* y z)))
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(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
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(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
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(* -1 (* y z))
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(+ (* -1 (* y z)) (* x y))
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(+ (* -1 (* y z)) (* x y))
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(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* -1 (* z (+ y (* -1 (/ (* 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))
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(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
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(+ (* -1 (* t (* y z))) (* t (* x y)))
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(* -1 (* t (* y z)))
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(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* -1 (* t (* y z)))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* t (* y (- x z)))
(* t (* y (- x z)))
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(* t (* y (- x z)))
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(* t (- x z))
(* -1 (* t z))
(+ (* -1 (* t z)) (* t x))
(+ (* -1 (* t z)) (* t x))
(+ (* -1 (* t z)) (* t x))
(* t x)
(* x (+ t (* -1 (/ (* t z) x))))
(* x (+ t (* -1 (/ (* t z) x))))
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(* t x)
(* -1 (* x (+ (* -1 t) (/ (* t z) x))))
(* -1 (* x (+ (* -1 t) (/ (* t z) x))))
(* -1 (* x (+ (* -1 t) (/ (* t z) x))))
(* t x)
(+ (* -1 (* t z)) (* t x))
(+ (* -1 (* t z)) (* t x))
(+ (* -1 (* t z)) (* t x))
(* -1 (* t z))
(* z (+ (* -1 t) (/ (* t x) z)))
(* z (+ (* -1 t) (/ (* t x) z)))
(* z (+ (* -1 t) (/ (* t x) z)))
(* -1 (* t z))
(* -1 (* z (+ t (* -1 (/ (* t x) z)))))
(* -1 (* z (+ t (* -1 (/ (* t x) z)))))
(* -1 (* z (+ t (* -1 (/ (* t x) z)))))
(* -1 (* t (* y z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* t (* x y))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* t (* x y))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
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(* y (+ (* -1 (* t z)) (* t x)))
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(* y (+ (* -1 (* t z)) (* t x)))
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(* -1 (* y (+ (* -1 (* t x)) (* t z))))
(* -1 (* y (+ (* -1 (* t x)) (* t z))))
(* -1 (* y (+ (* -1 (* t x)) (* t z))))
(* -1 (* y (+ (* -1 (* t x)) (* t z))))
(* t (+ (* -1 (* y z)) (* x y)))
(* t (+ (* -1 (* y z)) (* x y)))
(* t (+ (* -1 (* y z)) (* x y)))
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(* -1 (* t (+ (* -1 (* x y)) (* y z))))
(* -1 (* t (+ (* -1 (* x y)) (* y z))))
(* -1 (* t (+ (* -1 (* x y)) (* y z))))
(* -1 (* t (+ (* -1 (* x y)) (* y z))))
(* t (* x y))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* -1 (* t (* y z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* -1 (* t (* y z)))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
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(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y 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)
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
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(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* -1 (* t (* y z)))
(* y (* z (- (/ x z) 1)))
(* y (* z (- (/ x z) 1)))
(* y (* z (- (/ x z) 1)))
(* y (* z (- (/ x z) 1)))
(* y (* z (- (/ x z) 1)))
(* y (* z (- (/ x z) 1)))
(* y (* z (- (/ x z) 1)))
(* y (* z (- (/ x z) 1)))
(* y (* z (- (/ x z) 1)))
(* y (* z (- (/ x z) 1)))
(* y (* z (- (/ x z) 1)))
(* y (* z (- (/ x z) 1)))
(* x y)
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* -1 (* y z))
(* z (+ (* -1 y) (/ (* x y) z)))
(* z (+ (* -1 y) (/ (* x y) z)))
(* z (+ (* -1 y) (/ (* x y) z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* -1 (* y z))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* 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)
-1
(- (/ x z) 1)
(- (/ x z) 1)
(- (/ x z) 1)
(/ x z)
(* x (- (/ 1 z) (/ 1 x)))
(* x (- (/ 1 z) (/ 1 x)))
(* x (- (/ 1 z) (/ 1 x)))
(/ x z)
(* -1 (* x (- (/ 1 x) (/ 1 z))))
(* -1 (* x (- (/ 1 x) (/ 1 z))))
(* -1 (* x (- (/ 1 x) (/ 1 z))))
(/ x z)
(/ (+ x (* -1 z)) z)
(/ (+ x (* -1 z)) z)
(/ (+ x (* -1 z)) z)
-1
(- (/ x z) 1)
(- (/ x z) 1)
(- (/ x z) 1)
-1
(- (/ x z) 1)
(- (/ x z) 1)
(- (/ x z) 1)
(/ x z)
(/ x z)
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(/ x z)
(/ x z)
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(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* y 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)
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* x y))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* -1 (* t (* y z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(* -1 (* t (* y z)))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(* -1 (* t (* y z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(* t (* x y))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(* t (* x y))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
(* t (* y (* z (- (/ x z) 1))))
Outputs
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* t (* y z)))
(-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* x y))
(fma.f64 x (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* x y))
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(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(+ (* -1 (* y z)) (* x y))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x y))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* x (+ y (* -1 (/ (* y z) x))))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(- (/ x z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(- (/ x z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(- (/ x z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(/ x z)
(/.f64 x z)
(* x (- (/ 1 z) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(* x (- (/ 1 z) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(* x (- (/ 1 z) (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(/ x z)
(/.f64 x z)
(* -1 (* x (- (/ 1 x) (/ 1 z))))
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(* -1 (* x (- (/ 1 x) (/ 1 z))))
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(* -1 (* x (- (/ 1 x) (/ 1 z))))
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 z)) z)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(/ (+ x (* -1 z)) z)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(/ (+ x (* -1 z)) z)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
-1
#s(literal -1 binary64)
(- (/ x z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(- (/ x z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(- (/ x z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
-1
#s(literal -1 binary64)
(- (/ x z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(- (/ x z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(- (/ x z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 x z))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* x y))
(fma.f64 x (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* t (* y z)))
(-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64)))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* t (* y z)))
(-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* t (* y z)))
(-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* x y))
(fma.f64 x (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* x y))
(fma.f64 x (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (* z (- (/ x z) 1))))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))

eval548.0ms (3.9%)

Memory
33.3MiB live, 787.8MiB allocated
Compiler

Compiled 90 811 to 6 145 computations (93.2% saved)

prune521.0ms (3.7%)

Memory
-22.9MiB live, 813.1MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New3 15753 162
Fresh134
Picked235
Done011
Total3 160123 172
Accuracy
100.0%
Counts
3 172 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(fma.f64 (*.f64 x y) t (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))))
97.8%
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
43.3%
(*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (/.f64 x z) #s(literal 0 binary64)) t)
61.5%
(*.f64 (/.f64 t y) (/.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) (+.f64 x z)))
97.5%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
91.3%
(*.f64 (-.f64 x z) (*.f64 y t))
30.1%
(*.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z y #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64))))) t)
98.3%
(*.f64 (*.f64 (-.f64 x z) y) t)
54.9%
(*.f64 (*.f64 y x) t)
53.2%
(*.f64 (*.f64 y t) x)
88.8%
(*.f64 (*.f64 t (-.f64 x z)) y)
49.8%
(*.f64 (*.f64 t x) y)
Compiler

Compiled 335 to 178 computations (46.9% saved)

simplify354.0ms (2.5%)

Memory
5.3MiB live, 509.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z y #s(literal 0 binary64)))
cost-diff0
(*.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z y #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64))))) t)
cost-diff1024
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
cost-diff13248
(*.f64 (/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z y #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)))))
cost-diff-64
(*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (/.f64 x z) #s(literal 0 binary64)) t)
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 y z #s(literal 0 binary64))
cost-diff1088
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (/.f64 x z) #s(literal 0 binary64))
cost-diff-64
(*.f64 y x)
cost-diff-64
(*.f64 (*.f64 y x) t)
cost-diff-64
(*.f64 t x)
cost-diff-64
(*.f64 (*.f64 t x) y)
cost-diff-64
(*.f64 y (-.f64 x z))
cost-diff0
(-.f64 x z)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))
cost-diff1088
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
Rules
8 124×accelerator-lowering-fma.f32
8 124×accelerator-lowering-fma.f64
5 232×*-lowering-*.f32
5 232×*-lowering-*.f64
1 916×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034252
189250
2266226
31136204
44311182
56567182
08591182
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ t (/ 1 (* y (- x z))))
t
(/ 1 (* y (- x z)))
1
(* y (- x z))
y
(- x z)
x
z
(* (* t x) y)
(* t x)
t
x
y
(* (* y x) t)
(* y x)
y
x
t
(* (+ (* (+ (* y z) 0) (/ x z)) 0) t)
(+ (* (+ (* y z) 0) (/ x z)) 0)
(+ (* y z) 0)
y
z
0
(/ x z)
x
t
(* (* (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0)) (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0)))) t)
(* (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0)) (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0))))
(/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0))
(pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2)
(+ (* y (* z (+ -1 (/ x z)))) 0)
y
(* z (+ -1 (/ x z)))
z
(+ -1 (/ x z))
-1
(/ x z)
x
0
3/2
(+ (* z y) 0)
(/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0)))
(* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0))
t
Outputs
(/ t (/ 1 (* y (- x z))))
(fma.f64 (-.f64 x z) (*.f64 t y) #s(literal 0 binary64))
t
(/ 1 (* y (- x z)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 x z) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
y
(- x z)
(-.f64 x z)
x
z
(* (* t x) y)
(fma.f64 t (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(* t x)
(fma.f64 t x #s(literal 0 binary64))
t
x
y
(* (* y x) t)
(fma.f64 t (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(* y x)
(fma.f64 y x #s(literal 0 binary64))
y
x
t
(* (+ (* (+ (* y z) 0) (/ x z)) 0) t)
(fma.f64 t (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (+ (* y z) 0) (/ x z)) 0)
(fma.f64 y x #s(literal 0 binary64))
(+ (* y z) 0)
(fma.f64 y z #s(literal 0 binary64))
y
z
0
#s(literal 0 binary64)
(/ x z)
(/.f64 x z)
x
t
(* (* (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0)) (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0)))) t)
(/.f64 (*.f64 t (fma.f64 (fma.f64 y (-.f64 x z) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (-.f64 z x) #s(literal 0 binary64)) (fma.f64 y (-.f64 z x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y (-.f64 z x) #s(literal 0 binary64)) (fma.f64 y (-.f64 z x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0)) (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0))))
(/.f64 (fma.f64 (fma.f64 y (-.f64 x z) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (-.f64 z x) #s(literal 0 binary64)) (fma.f64 y (-.f64 z x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (-.f64 z x) #s(literal 0 binary64)) (fma.f64 y (-.f64 z x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0))
(/.f64 (pow.f64 (fma.f64 y (-.f64 x z) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y z #s(literal 0 binary64)))
(pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2)
(pow.f64 (fma.f64 y (-.f64 x z) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(+ (* y (* z (+ -1 (/ x z)))) 0)
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
y
(* z (+ -1 (/ x z)))
(-.f64 x z)
z
(+ -1 (/ x z))
(+.f64 (/.f64 x z) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ x z)
(/.f64 x z)
x
0
#s(literal 0 binary64)
3/2
#s(literal 3/2 binary64)
(+ (* z y) 0)
(fma.f64 y z #s(literal 0 binary64))
(/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0)))
(/.f64 (pow.f64 (fma.f64 y (-.f64 x z) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 (-.f64 z x) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) #s(literal 0 binary64)))
(* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0))
(fma.f64 (-.f64 z x) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) #s(literal 0 binary64))
t

localize149.0ms (1.1%)

Memory
-23.0MiB live, 192.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy94.8%
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
accuracy91.2%
(*.f64 (/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z y #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)))))
accuracy83.1%
(/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z y #s(literal 0 binary64)))
accuracy79.4%
(/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64))))
accuracy100.0%
(fma.f64 y z #s(literal 0 binary64))
accuracy100.0%
(/.f64 x z)
accuracy97.6%
(*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (/.f64 x z) #s(literal 0 binary64)) t)
accuracy87.3%
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (/.f64 x z) #s(literal 0 binary64))
accuracy100.0%
(*.f64 y x)
accuracy97.6%
(*.f64 (*.f64 y x) t)
accuracy100.0%
(*.f64 t x)
accuracy95.8%
(*.f64 (*.f64 t x) y)
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(*.f64 y (-.f64 x z))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))
accuracy99.5%
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
Samples
54.0ms137×0valid
29.0ms119×0invalid
Compiler

Compiled 291 to 36 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 26.0ms (43.9% of total)
ival-mult: 20.0ms (33.8% of total)
ival-add: 6.0ms (10.1% of total)
ival-pow: 4.0ms (6.8% of total)
ival-sub: 2.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (0.3%)

Memory
-2.4MiB live, 73.6MiB allocated
Counts
17 → 576
Calls
Call 1
Inputs
#<alt (/ t (/ 1 (* y (- x z))))>
#<alt (/ 1 (* y (- x z)))>
#<alt (- x z)>
#<alt (* y (- x z))>
#<alt (* (* t x) y)>
#<alt (* t x)>
#<alt (* (* y x) t)>
#<alt (* y x)>
#<alt (+ (* (+ (* y z) 0) (/ x z)) 0)>
#<alt (+ (* y z) 0)>
#<alt (/ x z)>
#<alt (* (+ (* (+ (* y z) 0) (/ x z)) 0) t)>
#<alt (* (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0)) (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0))))>
#<alt (* z (+ -1 (/ x z)))>
#<alt (* (* (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0)) (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0)))) t)>
#<alt (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0))>
#<alt (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0)))>
Outputs
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* t (* x y))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* t (* x y))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* t (* x y))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ -1 (* y z))>
#<alt (- (* -1 (/ x (* y (pow z 2)))) (/ 1 (* y z)))>
#<alt (- (* x (- (* -1 (/ x (* y (pow z 3)))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))>
#<alt (- (* x (- (* x (- (* -1 (/ x (* y (pow z 4)))) (/ 1 (* y (pow z 3))))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 y) (/ z (* x y))) x)>
#<alt (/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) y))) (* -1 (/ z (* x y)))) x)>
#<alt (/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) y))) (+ (* -1 (/ z (* x y))) (* -1 (/ (pow z 2) (* (pow x 2) y))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z y))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) y)) x)) (* -1 (/ z y))) x)) (/ 1 y)) x))>
#<alt (/ 1 (* x y))>
#<alt (+ (/ 1 (* x y)) (/ z (* (pow x 2) y)))>
#<alt (+ (* z (+ (/ 1 (* (pow x 2) y)) (/ z (* (pow x 3) y)))) (/ 1 (* x y)))>
#<alt (+ (* z (+ (* z (+ (/ 1 (* (pow x 3) y)) (/ z (* (pow x 4) y)))) (/ 1 (* (pow x 2) y)))) (/ 1 (* x y)))>
#<alt (/ -1 (* y z))>
#<alt (/ (- (* -1 (/ x (* y z))) (/ 1 y)) z)>
#<alt (/ (- (* -1 (/ (pow x 2) (* y (pow z 2)))) (+ (/ 1 y) (/ x (* y z)))) z)>
#<alt (/ (- (* -1 (/ (pow x 3) (* y (pow z 3)))) (+ (/ 1 y) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2)))))) z)>
#<alt (/ -1 (* y z))>
#<alt (* -1 (/ (+ (/ 1 y) (/ x (* y z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y z))) (/ x y)) z)) (/ 1 y)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y z)) (* -1 (/ (pow x 2) y))) z)) (/ x y)) z)) (/ 1 y)) z))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ 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 (* y (- x z))>
#<alt (* -1 (* y z))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* y z) x))))>
#<alt (* x y)>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* x y) z)))))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* 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 (* 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 (* 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 (* 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 z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* y (* z (- (/ x z) 1)))>
#<alt (* -1 (* y (* z (* (pow (sqrt -1) 2) (- (/ x z) 1)))))>
#<alt (* -1 (* y (* z (* (pow (sqrt -1) 2) (- (/ x z) 1)))))>
#<alt (* -1 (* y (* z (* (pow (sqrt -1) 2) (- (/ x z) 1)))))>
#<alt (* -1 (* y (* z (* (pow (sqrt -1) 2) (- (/ x z) 1)))))>
#<alt (* x y)>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* z (+ (* -1 y) (/ (* x y) z)))>
#<alt (* y (* z (pow (sqrt -1) 2)))>
#<alt (* -1 (* z (+ (* -1 (* y (pow (sqrt -1) 2))) (/ (* x (* y (pow (sqrt -1) 2))) z))))>
#<alt (* -1 (* z (+ (* -1 (* y (pow (sqrt -1) 2))) (/ (* x (* y (pow (sqrt -1) 2))) z))))>
#<alt (* -1 (* z (+ (* -1 (* y (pow (sqrt -1) 2))) (/ (* x (* y (pow (sqrt -1) 2))) z))))>
#<alt (* -1 (* y z))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (+ (* -1 (* y z)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* x (+ y (* -1 (/ (* y z) x))))>
#<alt (* -1 (* x (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (* z (pow (sqrt -1) 2))) x)) (* y (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (* z (pow (sqrt -1) 2))) x)) (* y (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (* z (pow (sqrt -1) 2))) x)) (* y (pow (sqrt -1) 2)))))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 z)>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* -1 (* t (* y (* z (* (pow (sqrt -1) 2) (- (/ x z) 1))))))>
#<alt (* -1 (* t (* y (* z (* (pow (sqrt -1) 2) (- (/ x z) 1))))))>
#<alt (* -1 (* t (* y (* z (* (pow (sqrt -1) 2) (- (/ x z) 1))))))>
#<alt (* -1 (* t (* y (* z (* (pow (sqrt -1) 2) (- (/ x z) 1))))))>
#<alt (* t (* x y))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* t (* y (* z (pow (sqrt -1) 2))))>
#<alt (* -1 (* z (+ (* -1 (* t (* y (pow (sqrt -1) 2)))) (/ (* t (* x (* y (pow (sqrt -1) 2)))) z))))>
#<alt (* -1 (* z (+ (* -1 (* t (* y (pow (sqrt -1) 2)))) (/ (* t (* x (* y (pow (sqrt -1) 2)))) z))))>
#<alt (* -1 (* z (+ (* -1 (* t (* y (pow (sqrt -1) 2)))) (/ (* t (* x (* y (pow (sqrt -1) 2)))) z))))>
#<alt (* -1 (* t (* y z)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* t (* x y))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* -1 (* t (* x (* y (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* t (* y (* z (pow (sqrt -1) 2)))) x)) (* t (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* t (* y (* z (pow (sqrt -1) 2)))) x)) (* t (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* t (* y (* z (pow (sqrt -1) 2)))) x)) (* t (* y (pow (sqrt -1) 2))))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (* t (* y (* z (- (/ x z) 1))))>
#<alt (sqrt (* y (* z (pow (- (/ x z) 1) 3))))>
#<alt (sqrt (* y (* z (pow (- (/ x z) 1) 3))))>
#<alt (sqrt (* y (* z (pow (- (/ x z) 1) 3))))>
#<alt (sqrt (* y (* z (pow (- (/ x z) 1) 3))))>
#<alt (sqrt (* y (* z (pow (- (/ x z) 1) 3))))>
#<alt (sqrt (* y (* z (pow (- (/ x z) 1) 3))))>
#<alt (sqrt (* y (* z (pow (- (/ x z) 1) 3))))>
#<alt (sqrt (* y (* z (pow (- (/ x z) 1) 3))))>
#<alt (* (sqrt (* y (* z (pow (- (/ x z) 1) 3)))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (* y (* z (pow (- (/ x z) 1) 3)))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (* y (* z (pow (- (/ x z) 1) 3)))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (* y (* z (pow (- (/ x z) 1) 3)))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (* (pow x 3) y)) (/ 1 z))>
#<alt (/ (+ (sqrt (* (pow x 3) y)) (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (+ (* -2 (pow x 2)) (* -1 (pow x 2))))))) z)>
#<alt (/ (+ (sqrt (* (pow x 3) y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) (* z (- (* y (+ x (* 2 x))) (* 1/4 (/ (* y (pow (+ (* -2 (pow x 2)) (* -1 (pow x 2))) 2)) (pow x 3))))))) (* 1/2 (* (sqrt (/ y (pow x 3))) (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))))) z)>
#<alt (/ (+ (sqrt (* (pow x 3) y)) (* z (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (+ (* -2 (pow x 2)) (* -1 (pow x 2))))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) (* z (- (* -1 y) (* 1/2 (/ (* (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (- (* y (+ x (* 2 x))) (* 1/4 (/ (* y (pow (+ (* -2 (pow x 2)) (* -1 (pow x 2))) 2)) (pow x 3))))) (pow x 3))))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) (- (* y (+ x (* 2 x))) (* 1/4 (/ (* y (pow (+ (* -2 (pow x 2)) (* -1 (pow x 2))) 2)) (pow x 3))))))))))) z)>
#<alt (* (sqrt (* y z)) (sqrt -1))>
#<alt (* z (+ (* 1/2 (* (sqrt (/ y (pow z 3))) (/ (+ x (* 2 x)) (sqrt -1)))) (* (sqrt (/ y z)) (sqrt -1))))>
#<alt (* z (+ (* 1/2 (* (sqrt (/ y (pow z 3))) (/ (+ x (* 2 x)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow z 5))) (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (sqrt -1)))) (* (sqrt (/ y z)) (sqrt -1)))))>
#<alt (* z (+ (* 1/2 (* (sqrt (/ 1 (* y (pow z 7)))) (/ (- (* (pow x 3) y) (* 1/4 (/ (* y (* z (pow (+ x (* 2 x)) 2))) (pow (sqrt -1) 2)))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow z 3))) (/ (+ x (* 2 x)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow z 5))) (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (sqrt -1)))) (* (sqrt (/ y z)) (sqrt -1))))))>
#<alt (* (sqrt (* y z)) (pow (sqrt -1) 3))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 3))) (* -1/2 (* (sqrt (/ y (pow z 3))) (* (sqrt -1) (+ (* -2 x) (* -1 x))))))))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 3))) (+ (* -1/2 (* (sqrt (/ y (pow z 3))) (* (sqrt -1) (+ (* -2 x) (* -1 x))))) (* 1/2 (* (sqrt (/ y (pow z 5))) (* (sqrt -1) (+ (* -2 (pow x 2)) (* -1 (pow x 2))))))))))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* y z)) (* (sqrt -1) (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (* (sqrt -1) (- (* -1 (* (pow x 3) y)) (* -1/4 (/ (* y (* z (pow (+ (* -2 x) (* -1 x)) 2))) (pow (sqrt -1) 2)))))))) (pow z 3))) (* -1/2 (* (sqrt (/ y (pow z 3))) (* (sqrt -1) (+ (* -2 x) (* -1 x)))))))))>
#<alt (* (sqrt (* y z)) (sqrt -1))>
#<alt (+ (* 3/2 (* (/ x (sqrt -1)) (sqrt (/ y z)))) (* (sqrt (* y z)) (sqrt -1)))>
#<alt (+ (* x (+ (* 1/2 (* (/ (* x (- (* -3 (/ y z)) (* 9/4 (/ y (* z (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (* y z))))) (* 3/2 (* (sqrt (/ y z)) (/ 1 (sqrt -1)))))) (* (sqrt (* y z)) (sqrt -1)))>
#<alt (+ (* x (+ (* 3/2 (* (sqrt (/ y z)) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (/ (- (* -3 (/ y z)) (* 9/4 (/ y (* z (pow (sqrt -1) 2))))) (sqrt -1)))) (* 1/2 (* (/ (* x (- (/ y (pow z 2)) (* 3/2 (/ (- (* -3 (/ y z)) (* 9/4 (/ y (* z (pow (sqrt -1) 2))))) (* z (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (* y z))))))))) (* (sqrt (* y z)) (sqrt -1)))>
#<alt (* (sqrt (* (pow x 3) y)) (/ 1 z))>
#<alt (* (pow x 2) (+ (* -3/2 (sqrt (/ y (pow x 3)))) (* (sqrt (/ y x)) (/ 1 z))))>
#<alt (* (pow x 2) (+ (* -3/2 (sqrt (/ y (pow x 3)))) (+ (* 3/2 (* (sqrt (/ y (pow x 5))) z)) (* (sqrt (/ y x)) (/ 1 z)))))>
#<alt (* (pow x 2) (+ (* -3/2 (sqrt (/ y (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 7) y))) (* z (- (* -1 (* y z)) (* 9/4 (* x y)))))) (+ (* 3/2 (* (sqrt (/ y (pow x 5))) z)) (* (sqrt (/ y x)) (/ 1 z))))))>
#<alt (* (sqrt (* (pow x 3) y)) (/ (pow (sqrt -1) 2) z))>
#<alt (* (pow x 2) (+ (* 3/2 (* (sqrt (/ y (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ y x)) (/ (pow (sqrt -1) 2) z))))>
#<alt (* (pow x 2) (+ (* -3/2 (* (sqrt (/ y (pow x 5))) (* z (pow (sqrt -1) 2)))) (+ (* 3/2 (* (sqrt (/ y (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ y x)) (/ (pow (sqrt -1) 2) z)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (* z (* (pow (sqrt -1) 2) (- (* y z) (* -9/4 (* x y))))))) (* 3/2 (* (sqrt (* x y)) (* z (pow (sqrt -1) 2))))) (pow x 3))) (+ (* 3/2 (* (sqrt (/ y (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ y x)) (/ (pow (sqrt -1) 2) z)))))>
#<alt (sqrt (/ (* y z) (- (/ x z) 1)))>
#<alt (sqrt (/ (* y z) (- (/ x z) 1)))>
#<alt (sqrt (/ (* y z) (- (/ x z) 1)))>
#<alt (sqrt (/ (* y z) (- (/ x z) 1)))>
#<alt (sqrt (/ (* y z) (- (/ x z) 1)))>
#<alt (sqrt (/ (* y z) (- (/ x z) 1)))>
#<alt (sqrt (/ (* y z) (- (/ x z) 1)))>
#<alt (sqrt (/ (* y z) (- (/ x z) 1)))>
#<alt (* (sqrt (/ (* y z) (- (/ x z) 1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* y z) (- (/ x z) 1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* y z) (- (/ x z) 1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (* y z) (- (/ x z) 1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ y x)) z)>
#<alt (* z (+ (sqrt (/ y x)) (* 1/2 (* (sqrt (/ y (pow x 3))) z))))>
#<alt (* z (+ (sqrt (/ y x)) (* z (+ (* -1/2 (* (sqrt (/ x y)) (* z (+ (* -1 (/ y (pow x 3))) (* 1/4 (/ y (pow x 3))))))) (* 1/2 (sqrt (/ y (pow x 3))))))))>
#<alt (* z (+ (sqrt (/ y x)) (* z (+ (* 1/2 (sqrt (/ y (pow x 3)))) (* z (+ (* -1/2 (* (sqrt (/ x y)) (* z (+ (* -1 (/ y (pow x 4))) (* -1/2 (/ (+ (* -1 (/ y (pow x 3))) (* 1/4 (/ y (pow x 3)))) x)))))) (* -1/2 (* (sqrt (/ x y)) (+ (* -1 (/ y (pow x 3))) (* 1/4 (/ y (pow x 3))))))))))))>
#<alt (* (sqrt (* y z)) (sqrt -1))>
#<alt (* z (+ (* -1/2 (* (/ x (sqrt -1)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (sqrt -1))))>
#<alt (* z (+ (* -1/2 (* (/ x (sqrt -1)) (sqrt (/ y (pow z 3))))) (+ (* -1/2 (* (/ (pow x 2) (sqrt -1)) (sqrt (/ y (pow z 5))))) (* (sqrt (/ y z)) (sqrt -1)))))>
#<alt (* z (+ (* -1/2 (* (sqrt (/ 1 (* y (pow z 7)))) (/ (+ (* 1/4 (/ (* (pow x 2) (* y z)) (pow (sqrt -1) 2))) (* (pow x 3) y)) (sqrt -1)))) (+ (* -1/2 (* (/ x (sqrt -1)) (sqrt (/ y (pow z 3))))) (+ (* -1/2 (* (/ (pow x 2) (sqrt -1)) (sqrt (/ y (pow z 5))))) (* (sqrt (/ y z)) (sqrt -1))))))>
#<alt (* (sqrt (* y z)) (pow (sqrt -1) 3))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 3))) (* -1/2 (* (* x (sqrt -1)) (sqrt (/ y (pow z 3))))))))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 3))) (+ (* -1/2 (* (* x (sqrt -1)) (sqrt (/ y (pow z 3))))) (* -1/2 (* (* (pow x 2) (sqrt -1)) (sqrt (/ y (pow z 5)))))))))>
#<alt (* -1 (* z (+ (* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* y z))) (* (sqrt -1) (+ (* -1 (* (pow x 3) y)) (* -1/4 (/ (* (pow x 2) (* y z)) (pow (sqrt -1) 2))))))) (* 1/2 (* (* (pow x 2) (sqrt -1)) (sqrt (* y z))))) (pow z 3))) (* -1/2 (* (* x (sqrt -1)) (sqrt (/ y (pow z 3)))))))))>
#<alt (* (sqrt (* y z)) (sqrt -1))>
#<alt (+ (* -1/2 (* (/ x (sqrt -1)) (sqrt (/ y z)))) (* (sqrt (* y z)) (sqrt -1)))>
#<alt (+ (* x (+ (* -1/2 (* (sqrt (/ y z)) (/ 1 (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/4 (/ y (* z (pow (sqrt -1) 2)))) (/ y z))) (sqrt -1)) (sqrt (/ 1 (* y z))))))) (* (sqrt (* y z)) (sqrt -1)))>
#<alt (+ (* x (+ (* -1/2 (* (sqrt (/ y z)) (/ 1 (sqrt -1)))) (* x (+ (* -1/2 (* (sqrt (/ 1 (* y z))) (/ (+ (* 1/4 (/ y (* z (pow (sqrt -1) 2)))) (/ y z)) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/2 (/ (+ (* 1/4 (/ y (* z (pow (sqrt -1) 2)))) (/ y z)) (* z (pow (sqrt -1) 2)))) (/ y (pow z 2)))) (sqrt -1)) (sqrt (/ 1 (* y z))))))))) (* (sqrt (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ y x)) z)>
#<alt (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (pow z 2))) (* (sqrt (/ y x)) z))>
#<alt (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (pow z 2))) (+ (* 1/2 (* (sqrt (/ y (pow x 5))) (pow z 3))) (* (sqrt (/ y x)) z)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (+ (* -1 (* y (pow z 5))) (* 1/4 (* x (* y (pow z 4))))) z))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (pow z 2))) (+ (* 1/2 (* (sqrt (/ y (pow x 5))) (pow z 3))) (* (sqrt (/ y x)) z))))>
#<alt (* (sqrt (/ y x)) (* z (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (/ y (pow x 3))) (* (pow z 2) (pow (sqrt -1) 2)))) (* (sqrt (/ y x)) (* z (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (* (sqrt (/ y (pow x 3))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ y (pow x 5))) (* (pow z 3) (pow (sqrt -1) 2)))) (* (sqrt (/ y x)) (* z (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (* x y)) (* (pow z 3) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (/ (* (pow (sqrt -1) 2) (+ (* -1/4 (* x (* y (pow z 4)))) (* y (pow z 5)))) z)))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ y (pow x 3))) (* (pow z 2) (pow (sqrt -1) 2)))) (* (sqrt (/ y x)) (* z (pow (sqrt -1) 2)))))>
Calls

144 calls:

TimeVariablePointExpression
6.0ms
t
@0
(* t x)
3.0ms
x
@-inf
(* (* (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0)) (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0)))) t)
2.0ms
z
@-inf
(/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0))
2.0ms
z
@inf
(/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0))
1.0ms
y
@-inf
(* (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0)) (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0))))

rewrite578.0ms (4.1%)

Memory
18.4MiB live, 882.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 978×/-lowering-/.f32
4 978×/-lowering-/.f64
4 110×*-lowering-*.f32
4 110×*-lowering-*.f64
2 732×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034199
1211129
21935116
08764111
Stop Event
iter limit
node limit
Counts
17 → 1 113
Calls
Call 1
Inputs
(/ t (/ 1 (* y (- x z))))
(/ 1 (* y (- x z)))
(- x z)
(* y (- x z))
(* (* t x) y)
(* t x)
(* (* y x) t)
(* y x)
(+ (* (+ (* y z) 0) (/ x z)) 0)
(+ (* y z) 0)
(/ x z)
(* (+ (* (+ (* y z) 0) (/ x z)) 0) t)
(* (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0)) (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0))))
(* z (+ -1 (/ x z)))
(* (* (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0)) (/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0)))) t)
(/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (+ (* z y) 0))
(/ (pow (+ (* y (* z (+ -1 (/ x z)))) 0) 3/2) (* (+ -1 (/ x z)) (+ (* y (* z (+ -1 (/ x z)))) 0)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 x z))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x z)))) (/.f64 t (/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x z)))))
(neg.f64 (/.f64 t (/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x z)))))
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 x z)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 x z)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 x z))))))
(/.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
(/.f64 (*.f64 t (*.f64 y (-.f64 x z))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 t (*.f64 y (-.f64 x z)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t))) (/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 x z)))) #s(literal -1 binary64))
(*.f64 t (*.f64 y (-.f64 x z)))
(*.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y (-.f64 x z))))
(*.f64 (*.f64 y (-.f64 x z)) t)
(*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x z)))))
(*.f64 (*.f64 t y) (-.f64 x z))
(*.f64 (*.f64 t (-.f64 x z)) y)
(*.f64 (/.f64 t #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 x z))))
(*.f64 (/.f64 t (/.f64 #s(literal 1 binary64) y)) (-.f64 x z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 x z))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x z))))
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simplify483.0ms (3.5%)

Memory
-14.8MiB live, 957.0MiB allocated
Algorithm
egg-herbie
Rules
8 660×accelerator-lowering-fma.f32
8 660×accelerator-lowering-fma.f64
7 388×*-lowering-*.f32
7 388×*-lowering-*.f64
2 886×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06035549
120055080
274725066
081214981
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
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(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (*.f64 (sqrt.f64 (/.f64 y (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 y z))))))
(* -1 (* z (+ (* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 3))) (+ (* -1/2 (* (* x (sqrt -1)) (sqrt (/ y (pow z 3))))) (* -1/2 (* (* (pow x 2) (sqrt -1)) (sqrt (/ y (pow z 5)))))))))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 y (*.f64 z (*.f64 z z)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 y z)))))))
(* -1 (* z (+ (* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 3))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* y z))) (* (sqrt -1) (+ (* -1 (* (pow x 3) y)) (* -1/4 (/ (* (pow x 2) (* y z)) (pow (sqrt -1) 2))))))) (* 1/2 (* (* (pow x 2) (sqrt -1)) (sqrt (* y z))))) (pow z 3))) (* -1/2 (* (* x (sqrt -1)) (sqrt (/ y (pow z 3)))))))))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 y (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 y z))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 y z)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (*.f64 y (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) #s(literal -1/2 binary64)))) (*.f64 z (*.f64 z z)))))))
(* (sqrt (* y z)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y z)))
(+ (* -1/2 (* (/ x (sqrt -1)) (sqrt (/ y z)))) (* (sqrt (* y z)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(+ (* x (+ (* -1/2 (* (sqrt (/ y z)) (/ 1 (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/4 (/ y (* z (pow (sqrt -1) 2)))) (/ y z))) (sqrt -1)) (sqrt (/ 1 (* y z))))))) (* (sqrt (* y z)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y z)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y z) (/.f64 y z))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 #s(literal -1 binary64))))))
(+ (* x (+ (* -1/2 (* (sqrt (/ y z)) (/ 1 (sqrt -1)))) (* x (+ (* -1/2 (* (sqrt (/ 1 (* y z))) (/ (+ (* 1/4 (/ y (* z (pow (sqrt -1) 2)))) (/ y z)) (sqrt -1)))) (* -1/2 (* (/ (* x (+ (* 1/2 (/ (+ (* 1/4 (/ y (* z (pow (sqrt -1) 2)))) (/ y z)) (* z (pow (sqrt -1) 2)))) (/ y (pow z 2)))) (sqrt -1)) (sqrt (/ 1 (* y z))))))))) (* (sqrt (* y z)) (sqrt -1)))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 y z) (/.f64 y z)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 y z) (/.f64 y z)) z) (/.f64 y (*.f64 z z))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y z))))
(* (sqrt (/ y x)) z)
(*.f64 z (sqrt.f64 (/.f64 y x)))
(+ (* 1/2 (* (sqrt (/ y (pow x 3))) (pow z 2))) (* (sqrt (/ y x)) z))
(*.f64 z (fma.f64 (sqrt.f64 (/.f64 y (*.f64 x (*.f64 x x)))) (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 y x))))
(+ (* 1/2 (* (sqrt (/ y (pow x 3))) (pow z 2))) (+ (* 1/2 (* (sqrt (/ y (pow x 5))) (pow z 3))) (* (sqrt (/ y x)) z)))
(fma.f64 z (fma.f64 (sqrt.f64 (/.f64 y (*.f64 x (*.f64 x x)))) (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 y x))) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/2 binary64))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (+ (* -1 (* y (pow z 5))) (* 1/4 (* x (* y (pow z 4))))) z))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (pow z 2))) (+ (* 1/2 (* (sqrt (/ y (pow x 5))) (pow z 3))) (* (sqrt (/ y x)) z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 x #s(literal 7 binary64))))) (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 y (pow.f64 z #s(literal 5 binary64)))) z)) (fma.f64 z (fma.f64 (sqrt.f64 (/.f64 y (*.f64 x (*.f64 x x)))) (*.f64 z #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 y x))) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/2 binary64)))))
(* (sqrt (/ y x)) (* z (pow (sqrt -1) 2)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (sqrt.f64 (/.f64 y x)))
(+ (* -1/2 (* (sqrt (/ y (pow x 3))) (* (pow z 2) (pow (sqrt -1) 2)))) (* (sqrt (/ y x)) (* z (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 y (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (sqrt.f64 (/.f64 y x))))
(+ (* -1/2 (* (sqrt (/ y (pow x 3))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ y (pow x 5))) (* (pow z 3) (pow (sqrt -1) 2)))) (* (sqrt (/ y x)) (* z (pow (sqrt -1) 2)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z z) (sqrt.f64 (/.f64 y (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 z (*.f64 z z)) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) z) (sqrt.f64 (/.f64 y x))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (* x y)) (* (pow z 3) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (/ (* (pow (sqrt -1) 2) (+ (* -1/4 (* x (* y (pow z 4)))) (* y (pow z 5)))) z)))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ y (pow x 3))) (* (pow z 2) (pow (sqrt -1) 2)))) (* (sqrt (/ y x)) (* z (pow (sqrt -1) 2)))))
(fma.f64 z (*.f64 (sqrt.f64 (/.f64 y (*.f64 x (*.f64 x x)))) (*.f64 z #s(literal 1/2 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) z) (sqrt.f64 (/.f64 y x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 y (pow.f64 z #s(literal 5 binary64)))) z) (*.f64 (sqrt.f64 (*.f64 y x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))) (*.f64 x (*.f64 x x)))))

eval318.0ms (2.3%)

Memory
41.9MiB live, 506.8MiB allocated
Compiler

Compiled 71 086 to 5 303 computations (92.5% saved)

prune360.0ms (2.6%)

Memory
1.6MiB live, 513.1MiB allocated
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New1 96941 973
Fresh123
Picked325
Done044
Total1 973121 985
Accuracy
100.0%
Counts
1 985 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(fma.f64 (*.f64 x y) t (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))))
97.8%
(/.f64 t (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y))
56.5%
(/.f64 t (/.f64 #s(literal -1 binary64) (*.f64 y z)))
40.0%
(*.f64 (fma.f64 y z #s(literal 0 binary64)) (*.f64 (/.f64 x z) t))
97.5%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
91.3%
(*.f64 (-.f64 x z) (*.f64 y t))
98.3%
(*.f64 (*.f64 (-.f64 x z) y) t)
54.9%
(*.f64 (*.f64 y x) t)
53.2%
(*.f64 (*.f64 y t) x)
88.8%
(*.f64 (*.f64 t (-.f64 x z)) y)
49.8%
(*.f64 (*.f64 t x) y)
82.3%
(*.f64 x (fma.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) x) (*.f64 t y)))
Compiler

Compiled 221 to 144 computations (34.8% saved)

simplify2.4s (17.1%)

Memory
0.4MiB live, 322.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 y z)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 y z))
cost-diff832
(/.f64 t (/.f64 #s(literal -1 binary64) (*.f64 y z)))
cost-diff-64
(*.f64 (/.f64 x z) t)
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 y z #s(literal 0 binary64))
cost-diff1024
(*.f64 (fma.f64 y z #s(literal 0 binary64)) (*.f64 (/.f64 x z) t))
cost-diff-64
(*.f64 y t)
cost-diff-64
(*.f64 (-.f64 x z) (*.f64 y t))
cost-diff0
(-.f64 x z)
cost-diff-64
(*.f64 y t)
cost-diff-64
(*.f64 (*.f64 y t) x)
cost-diff0
(-.f64 x z)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x z))
cost-diff320
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y)
cost-diff1024
(/.f64 t (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y))
Rules
5 862×accelerator-lowering-fma.f32
5 862×accelerator-lowering-fma.f64
3 170×*-lowering-*.f32
3 170×*-lowering-*.f64
1 572×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02199
14899
213195
329495
455094
588094
6159294
7322294
8569894
9787094
0809394
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ t (/ (/ 1 (- x z)) y))
t
(/ (/ 1 (- x z)) y)
(/ 1 (- x z))
1
(- x z)
x
z
y
(* (* y t) x)
(* y t)
y
t
x
(* (- x z) (* y t))
(- x z)
x
z
(* y t)
y
t
(* (+ (* y z) 0) (* (/ x z) t))
(+ (* y z) 0)
y
z
0
(* (/ x z) t)
(/ x z)
x
t
(/ t (/ -1 (* y z)))
t
(/ -1 (* y z))
-1
(* y z)
y
z
Outputs
(/ t (/ (/ 1 (- x z)) y))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
t
(/ (/ 1 (- x z)) y)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) y #s(literal 0 binary64)))
(/ 1 (- x z))
(/.f64 #s(literal 1 binary64) (-.f64 x z))
1
#s(literal 1 binary64)
(- x z)
(-.f64 x z)
x
z
y
(* (* y t) x)
(fma.f64 x (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y t)
(fma.f64 t y #s(literal 0 binary64))
y
t
x
(* (- x z) (* y t))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(- x z)
(-.f64 x z)
x
z
(* y t)
(fma.f64 t y #s(literal 0 binary64))
y
t
(* (+ (* y z) 0) (* (/ x z) t))
(fma.f64 x (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* y z) 0)
(fma.f64 z y #s(literal 0 binary64))
y
z
0
#s(literal 0 binary64)
(* (/ x z) t)
(fma.f64 t (/.f64 x z) #s(literal 0 binary64))
(/ x z)
(/.f64 x z)
x
t
(/ t (/ -1 (* y z)))
(fma.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64))
t
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(* y z)
(fma.f64 z y #s(literal 0 binary64))
y
z

localize87.0ms (0.6%)

Memory
5.8MiB live, 159.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 y z))
accuracy92.2%
(/.f64 t (/.f64 #s(literal -1 binary64) (*.f64 y z)))
accuracy100.0%
(fma.f64 y z #s(literal 0 binary64))
accuracy100.0%
(/.f64 x z)
accuracy92.6%
(*.f64 (/.f64 x z) t)
accuracy80.7%
(*.f64 (fma.f64 y z #s(literal 0 binary64)) (*.f64 (/.f64 x z) t))
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(*.f64 y t)
accuracy91.3%
(*.f64 (-.f64 x z) (*.f64 y t))
accuracy100.0%
(*.f64 y t)
accuracy93.3%
(*.f64 (*.f64 y t) x)
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 x z))
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y)
accuracy97.9%
(/.f64 t (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y))
Samples
39.0ms256×0valid
Compiler

Compiled 105 to 23 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 10.0ms (43.4% of total)
ival-mult: 10.0ms (43.4% of total)
ival-sub: 2.0ms (8.7% of total)
ival-add: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
13.5MiB live, 51.4MiB allocated
Counts
14 → 456
Calls
Call 1
Inputs
#<alt (/ t (/ (/ 1 (- x z)) y))>
#<alt (/ (/ 1 (- x z)) y)>
#<alt (/ 1 (- x z))>
#<alt (- x z)>
#<alt (* (* y t) x)>
#<alt (* y t)>
#<alt (* (- x z) (* y t))>
#<alt (* (+ (* y z) 0) (* (/ x z) t))>
#<alt (+ (* y z) 0)>
#<alt (/ x z)>
#<alt (* (/ x z) t)>
#<alt (/ t (/ -1 (* y z)))>
#<alt (/ -1 (* y z))>
#<alt (* y z)>
Outputs
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* t (* x y))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* t (* x y))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* t (* x y))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (/ -1 (* y z))>
#<alt (- (* -1 (/ x (* y (pow z 2)))) (/ 1 (* y z)))>
#<alt (- (* x (- (* -1 (/ x (* y (pow z 3)))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))>
#<alt (- (* x (- (* x (- (* -1 (/ x (* y (pow z 4)))) (/ 1 (* y (pow z 3))))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 y) (/ z (* x y))) x)>
#<alt (/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) y))) (* -1 (/ z (* x y)))) x)>
#<alt (/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) y))) (+ (* -1 (/ z (* x y))) (* -1 (/ (pow z 2) (* (pow x 2) y))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z y))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) y)) x)) (* -1 (/ z y))) x)) (/ 1 y)) x))>
#<alt (/ 1 (* x y))>
#<alt (+ (/ 1 (* x y)) (/ z (* (pow x 2) y)))>
#<alt (+ (* z (+ (/ 1 (* (pow x 2) y)) (/ z (* (pow x 3) y)))) (/ 1 (* x y)))>
#<alt (+ (* z (+ (* z (+ (/ 1 (* (pow x 3) y)) (/ z (* (pow x 4) y)))) (/ 1 (* (pow x 2) y)))) (/ 1 (* x y)))>
#<alt (/ -1 (* y z))>
#<alt (/ (- (* -1 (/ x (* y z))) (/ 1 y)) z)>
#<alt (/ (- (* -1 (/ (pow x 2) (* y (pow z 2)))) (+ (/ 1 y) (/ x (* y z)))) z)>
#<alt (/ (- (* -1 (/ (pow x 3) (* y (pow z 3)))) (+ (/ 1 y) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2)))))) z)>
#<alt (/ -1 (* y z))>
#<alt (* -1 (/ (+ (/ 1 y) (/ x (* y z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y z))) (/ x y)) z)) (/ 1 y)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y z)) (* -1 (/ (pow x 2) y))) z)) (/ x y)) z)) (/ 1 y)) z))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ 1 (* y (- x z)))>
#<alt (/ -1 z)>
#<alt (- (* -1 (/ x (pow z 2))) (/ 1 z))>
#<alt (- (* x (- (* -1 (/ x (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (- (* x (- (* x (- (* -1 (/ x (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ z x)) x)>
#<alt (/ (- (+ 1 (/ (pow z 2) (pow x 2))) (* -1 (/ z x))) x)>
#<alt (/ (- (+ 1 (/ (pow z 3) (pow x 3))) (+ (* -1 (/ z x)) (* -1 (/ (pow z 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ z x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) (* -1 z)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) x)) (pow z 2)) x)) (* -1 z)) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ z (pow x 2)))>
#<alt (+ (* z (+ (/ 1 (pow x 2)) (/ z (pow x 3)))) (/ 1 x))>
#<alt (+ (* z (+ (* z (+ (/ 1 (pow x 3)) (/ z (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ -1 z)>
#<alt (/ (- (* -1 (/ x z)) 1) z)>
#<alt (/ (- (* -1 (/ (pow x 2) (pow z 2))) (+ 1 (/ x z))) z)>
#<alt (/ (- (* -1 (/ (pow x 3) (pow z 3))) (+ 1 (+ (/ x z) (/ (pow x 2) (pow z 2))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (/ x z)) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) z)) x) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) z) (* -1 (pow x 2))) z)) x) z))) z))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* -1 (* t (* y z)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* t (* x y))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))>
#<alt (* t (* x y))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* t y)) (/ (* t (* y z)) x))))>
#<alt (* t (* x y))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (+ (* -1 (* t (* y z))) (* t (* x y)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* z (+ (* -1 (* t y)) (/ (* t (* x y)) z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* -1 (* z (+ (* -1 (/ (* t (* x y)) z)) (* t y))))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* y (- x z)))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<alt (* t (* x y))>
#<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 z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (* -1 (* t (* y z)))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* 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)>
Calls

114 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(* (- x z) (* y t))
1.0ms
z
@inf
(/ -1 (* y z))
0.0ms
y
@inf
(/ -1 (* y z))
0.0ms
t
@inf
(* (/ x z) t)
0.0ms
z
@0
(/ -1 (* y z))

rewrite529.0ms (3.8%)

Memory
-16.8MiB live, 1 151.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 076×*-lowering-*.f32
5 076×*-lowering-*.f64
4 758×accelerator-lowering-fma.f32
4 758×accelerator-lowering-fma.f64
3 812×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02176
111371
287971
3793971
0919471
Stop Event
iter limit
node limit
Counts
14 → 1 844
Calls
Call 1
Inputs
(/ t (/ (/ 1 (- x z)) y))
(/ (/ 1 (- x z)) y)
(/ 1 (- x z))
(- x z)
(* (* y t) x)
(* y t)
(* (- x z) (* y t))
(* (+ (* y z) 0) (* (/ x z) t))
(+ (* y z) 0)
(/ x z)
(* (/ x z) t)
(/ t (/ -1 (* y z)))
(/ -1 (* y z))
(* y z)
Outputs
(+.f64 (*.f64 t (*.f64 x y)) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(+.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)) (*.f64 t (*.f64 x y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (*.f64 x y))) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 t (*.f64 x y)) #s(literal 1 binary64)) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (fma.f64 (-.f64 x z) y #s(literal 0 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 y (-.f64 z x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x)))) (*.f64 t (*.f64 y (-.f64 z x))))
(fma.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))) (*.f64 t (*.f64 x y)))
(fma.f64 t (*.f64 x y) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 t (*.f64 x y)) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)) (*.f64 t (*.f64 x y)))
(fma.f64 x (*.f64 t y) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(fma.f64 z (*.f64 t (-.f64 #s(literal 0 binary64) y)) (*.f64 t (*.f64 x y)))
(fma.f64 y (*.f64 t x) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(fma.f64 y (*.f64 z (-.f64 #s(literal 0 binary64) t)) (*.f64 t (*.f64 x y)))
(fma.f64 y (*.f64 (-.f64 #s(literal 0 binary64) z) t) (*.f64 t (*.f64 x y)))
(fma.f64 (*.f64 t y) x (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(fma.f64 (*.f64 t y) (-.f64 #s(literal 0 binary64) z) (*.f64 t (*.f64 x y)))
(fma.f64 (*.f64 t (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) (*.f64 t (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (fma.f64 t (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 t (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (*.f64 t (*.f64 x y)))
(fma.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 t (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z y #s(literal 0 binary64)) (*.f64 t (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 t z) (*.f64 t (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 t y) (*.f64 t (*.f64 x y)))
(fma.f64 (fma.f64 y (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) t)) (*.f64 t (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))) t (*.f64 t (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (*.f64 t (*.f64 x y)))
(fma.f64 (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) t)) (*.f64 t (*.f64 x y)))
(fma.f64 (*.f64 t x) y (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(fma.f64 (fma.f64 t (fma.f64 y (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 t (*.f64 x y)))
(fma.f64 (fma.f64 (*.f64 t y) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 0 binary64))) (*.f64 t (*.f64 x y)))
(fma.f64 (fma.f64 t (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) (*.f64 t (*.f64 x y)))
(fma.f64 (*.f64 x y) t (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 t (*.f64 x y)))
(fma.f64 (fma.f64 t (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (*.f64 z z) #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))) (*.f64 t (*.f64 x y)))
(fma.f64 (*.f64 t z) (-.f64 #s(literal 0 binary64) y) (*.f64 t (*.f64 x y)))
(fma.f64 (*.f64 t (-.f64 #s(literal 0 binary64) y)) z (*.f64 t (*.f64 x y)))
(fma.f64 (/.f64 t z) (/.f64 (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 t (*.f64 x y)))
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(*.f64 (/.f64 (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (*.f64 (fma.f64 z (*.f64 y y) #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 y (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (*.f64 (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 z y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 z (*.f64 y y) #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)))))

simplify459.0ms (3.3%)

Memory
27.3MiB live, 695.2MiB allocated
Algorithm
egg-herbie
Rules
9 830×accelerator-lowering-fma.f32
9 830×accelerator-lowering-fma.f64
4 486×*-lowering-*.f32
4 486×*-lowering-*.f64
2 602×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02773004
18362933
224152795
373682795
083232773
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
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(/ 1 (* x y))
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(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) y))) (* -1 (/ z (* x y)))) x)
(/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) y))) (+ (* -1 (/ z (* x y))) (* -1 (/ (pow z 2) (* (pow x 2) y))))) x)
(/ 1 (* x y))
(* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z y))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) y)) x)) (* -1 (/ z y))) x)) (/ 1 y)) x))
(/ 1 (* x y))
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(+ (* z (+ (/ 1 (* (pow x 2) y)) (/ z (* (pow x 3) y)))) (/ 1 (* x y)))
(+ (* z (+ (* z (+ (/ 1 (* (pow x 3) y)) (/ z (* (pow x 4) y)))) (/ 1 (* (pow x 2) y)))) (/ 1 (* x y)))
(/ -1 (* y z))
(/ (- (* -1 (/ x (* y z))) (/ 1 y)) z)
(/ (- (* -1 (/ (pow x 2) (* y (pow z 2)))) (+ (/ 1 y) (/ x (* y z)))) z)
(/ (- (* -1 (/ (pow x 3) (* y (pow z 3)))) (+ (/ 1 y) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2)))))) z)
(/ -1 (* y z))
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(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
(/ 1 (* y (- x z)))
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(- (* -1 (/ x (pow z 2))) (/ 1 z))
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(/ 1 x)
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(/ (- (+ 1 (/ (pow z 3) (pow x 3))) (+ (* -1 (/ z x)) (* -1 (/ (pow z 2) (pow x 2))))) x)
(/ 1 x)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) x)) (pow z 2)) x)) (* -1 z)) x)) 1) x))
(/ 1 x)
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(/ -1 z)
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(/ (- (* -1 (/ (pow x 2) (pow z 2))) (+ 1 (/ x z))) z)
(/ (- (* -1 (/ (pow x 3) (pow z 3))) (+ 1 (+ (/ x z) (/ (pow x 2) (pow z 2))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (/ x z)) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) z)) x) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) z) (* -1 (pow x 2))) z)) x) z))) z))
(* -1 z)
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x
(* x (+ 1 (* -1 (/ z x))))
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(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
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(* -1 z)
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(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
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(/ -1 (* y z))
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(/ -1 (* y z))
(* y z)
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(* y z)
(* y z)
(* y z)
(* y z)
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Outputs
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(*.f64 t (*.f64 y (-.f64 x z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(*.f64 t (*.f64 y (-.f64 x z)))
(+ (* -1 (* t (* y z))) (* t (* x y)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(*.f64 x (*.f64 t (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(*.f64 x (*.f64 t (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) y)))
(* x (+ (* -1 (/ (* t (* y z)) x)) (* t y)))
(*.f64 x (*.f64 t (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) y)))
(* t (* x y))
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(*.f64 t (*.f64 y (-.f64 x z)))
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(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
(* t (* y (- x z)))
(*.f64 t (*.f64 y (-.f64 x z)))
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(*.f64 t (*.f64 y x))
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(*.f64 t (*.f64 y x))
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(/ (* t x) z)
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(/ (* t x) z)
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(/ (* t x) z)
(/.f64 (*.f64 t x) z)
(/ (* t x) z)
(/.f64 (*.f64 t x) z)
(/ (* t x) z)
(/.f64 (*.f64 t x) z)
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(* -1 (* t (* y z)))
(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
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(*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 t z)))
(/ -1 (* y z))
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(/ -1 (* y z))
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(/ -1 (* y z))
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(/ -1 (* y z))
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(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
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(/ -1 (* y z))
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(/ -1 (* y z))
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(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(/ -1 (* y z))
(/.f64 #s(literal -1 binary64) (*.f64 y z))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)

eval331.0ms (2.4%)

Memory
24.8MiB live, 557.3MiB allocated
Compiler

Compiled 52 184 to 3 982 computations (92.4% saved)

prune1.3s (9.5%)

Memory
-141.2MiB live, 979.9MiB allocated
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New2 44342 447
Fresh101
Picked235
Done066
Total2 446132 459
Accuracy
100.0%
Counts
2 459 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(fma.f64 (*.f64 x y) t (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))))
57.0%
(/.f64 (fma.f64 z y #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) t))
54.6%
(/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) z))
56.5%
(/.f64 t (/.f64 (/.f64 #s(literal -1 binary64) z) y))
56.5%
(/.f64 t (/.f64 #s(literal -1 binary64) (*.f64 y z)))
97.5%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
91.3%
(*.f64 (-.f64 x z) (*.f64 y t))
98.3%
(*.f64 (*.f64 (-.f64 x z) y) t)
40.0%
(*.f64 (*.f64 z y) (*.f64 (/.f64 x z) t))
54.9%
(*.f64 (*.f64 y x) t)
53.2%
(*.f64 (*.f64 y t) x)
88.8%
(*.f64 (*.f64 t (-.f64 x z)) y)
49.8%
(*.f64 (*.f64 t x) y)
Compiler

Compiled 397 to 178 computations (55.2% saved)

regimes49.0ms (0.4%)

Memory
-6.1MiB live, 96.1MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 t x) y)
(*.f64 (*.f64 y t) x)
(*.f64 (*.f64 y x) t)
(*.f64 (fma.f64 y x #s(literal 0 binary64)) t)
(fma.f64 y (fma.f64 x t #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (*.f64 t (-.f64 x z)) y)
(*.f64 (*.f64 (-.f64 x z) y) t)
(*.f64 (-.f64 x z) (*.f64 y t))
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
(fma.f64 (*.f64 x y) t (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(*.f64 (*.f64 z y) (*.f64 (/.f64 x z) t))
(*.f64 (fma.f64 y z #s(literal 0 binary64)) (*.f64 (/.f64 x z) t))
(/.f64 t (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (/.f64 x z) #s(literal 0 binary64)) t)
(/.f64 (fma.f64 z y #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) t))
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
(/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 0 binary64)) t)
(/.f64 t (/.f64 (/.f64 #s(literal -1 binary64) z) y))
(*.f64 x (fma.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) x) (*.f64 t y)))
(/.f64 t (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y))
(*.f64 (/.f64 t y) (/.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) (+.f64 x z)))
(*.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z y #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x z)) (fma.f64 y (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) #s(literal 0 binary64))))) t)
Outputs
(*.f64 (*.f64 (-.f64 x z) y) t)
Calls

6 calls:

13.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
8.0ms
y
7.0ms
z
7.0ms
x
7.0ms
(-.f64 (*.f64 x y) (*.f64 z y))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1y
98.3%1z
98.3%1t
98.3%1(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
98.3%1(-.f64 (*.f64 x y) (*.f64 z y))
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes17.0ms (0.1%)

Memory
2.4MiB live, 41.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 t x) y)
(*.f64 (*.f64 y t) x)
(*.f64 (*.f64 y x) t)
(*.f64 (fma.f64 y x #s(literal 0 binary64)) t)
(fma.f64 y (fma.f64 x t #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (*.f64 t (-.f64 x z)) y)
Outputs
(*.f64 (*.f64 t (-.f64 x z)) y)
Calls

6 calls:

3.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
3.0ms
x
3.0ms
(-.f64 (*.f64 x y) (*.f64 z y))
3.0ms
t
3.0ms
z
Results
AccuracySegmentsBranch
88.8%1x
88.8%1y
88.8%1z
88.8%1t
88.8%1(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
88.8%1(-.f64 (*.f64 x y) (*.f64 z y))
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes15.0ms (0.1%)

Memory
1.3MiB live, 40.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 t x) y)
(*.f64 (*.f64 y t) x)
(*.f64 (*.f64 y x) t)
(*.f64 (fma.f64 y x #s(literal 0 binary64)) t)
(fma.f64 y (fma.f64 x t #s(literal 0 binary64)) #s(literal 0 binary64))
Outputs
(*.f64 (*.f64 y x) t)
Calls

6 calls:

3.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
2.0ms
z
2.0ms
(-.f64 (*.f64 x y) (*.f64 z y))
2.0ms
y
2.0ms
t
Results
AccuracySegmentsBranch
54.9%1y
54.9%1x
54.9%1z
54.9%1t
54.9%1(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
54.9%1(-.f64 (*.f64 x y) (*.f64 z y))
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes11.0ms (0.1%)

Memory
-10.4MiB live, 30.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 t x) y)
(*.f64 (*.f64 y t) x)
Outputs
(*.f64 (*.f64 t x) y)
(*.f64 (*.f64 y t) x)
Calls

6 calls:

3.0ms
z
2.0ms
y
2.0ms
t
2.0ms
x
2.0ms
(-.f64 (*.f64 x y) (*.f64 z y))
Results
AccuracySegmentsBranch
53.2%1x
55.7%2t
53.2%1(-.f64 (*.f64 x y) (*.f64 z y))
53.2%1y
53.2%1z
53.2%1(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes9.0ms (0.1%)

Memory
-15.8MiB live, 23.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

2.0ms
(-.f64 (*.f64 x y) (*.f64 z y))
1.0ms
z
1.0ms
t
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
49.8%1(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
49.8%1(-.f64 (*.f64 x y) (*.f64 z y))
49.8%1x
49.8%1y
49.8%1z
49.8%1t
Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch3.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
4362769899265.754
12928026327573.346
Samples
2.0ms32×0valid
Compiler

Compiled 56 to 43 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (126.5% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
24.3MiB live, 24.3MiB allocated
Algorithm
egg-herbie
Rules
22×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01838
13038
23538
33738
43838
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 x z) y) t)
(*.f64 (*.f64 t (-.f64 x z)) y)
(*.f64 (*.f64 y x) t)
(if (<=.f64 t #s(literal 5000000000000 binary64)) (*.f64 (*.f64 t x) y) (*.f64 (*.f64 y t) x))
(*.f64 (*.f64 t x) y)
Outputs
(*.f64 (*.f64 (-.f64 x z) y) t)
(*.f64 (*.f64 t (-.f64 x z)) y)
(*.f64 y (*.f64 (-.f64 x z) t))
(*.f64 (*.f64 y x) t)
(*.f64 t (*.f64 x y))
(if (<=.f64 t #s(literal 5000000000000 binary64)) (*.f64 (*.f64 t x) y) (*.f64 (*.f64 y t) x))
(if (<=.f64 t #s(literal 5000000000000 binary64)) (*.f64 y (*.f64 x t)) (*.f64 x (*.f64 y t)))
(*.f64 (*.f64 t x) y)
(*.f64 y (*.f64 x t))

soundness652.0ms (4.7%)

Memory
-9.6MiB live, 497.2MiB allocated
Rules
11 204×accelerator-lowering-fma.f32
11 204×accelerator-lowering-fma.f64
6 244×accelerator-lowering-fma.f32
6 244×accelerator-lowering-fma.f64
5 444×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056924
1194666
2574666
32066666
44650666
56765666
67401666
77851666
08112666
0818
13118
223318
3232818
0826218
02689
114489
2157589
0838289
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 140 to 84 computations (40% saved)

preprocess267.0ms (1.9%)

Memory
29.7MiB live, 486.1MiB allocated
Compiler

Compiled 440 to 254 computations (42.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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