Linear.Projection:inverseInfinitePerspective from linear-1.19.1.3

Time bar (total: 13.2s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×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)

sample831.0ms (6.3%)

Memory
14.0MiB live, 1 109.9MiB allocated
Samples
603.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 319.0ms
ival-mult: 271.0ms (84.8% of total)
ival-sub: 40.0ms (12.5% of total)
ival-true: 6.0ms (1.9% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess139.0ms (1.1%)

Memory
-17.8MiB live, 131.3MiB allocated
Algorithm
2×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
1×iter limit
1×saturated
1×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)

explain140.0ms (1.1%)

Memory
-11.1MiB live, 144.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
60-1(-8.690168764763834e-186 8.108398301387416e-215 -1.5339680197981635e-109 3.630887569741915e+70)(*.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*u50
-.f64(-.f64 (*.f64 x y) (*.f64 z y))nan-rescue20
↳(*.f64 x y)overflow11
↳(*.f64 z y)overflow12
Confusion
Predicted +Predicted -
+71
-0248
Precision
1.0
Recall
0.875
Confusion?
Predicted +Predicted MaybePredicted -
+701
-00248
Precision?
1.0
Recall?
0.875
Freqs
test
numberfreq
0249
17
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: 13.0ms
ival-mult: 11.0ms (82.6% of total)
ival-sub: 2.0ms (15% 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
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.8%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify47.0ms (0.4%)

Memory
5.4MiB live, 43.3MiB allocated
Algorithm
1×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
1×iter limit
1×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

localize22.0ms (0.2%)

Memory
-0.9MiB live, 36.8MiB 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))
✓accuracy97.6%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
Samples
15.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 6.0ms (82.9% of total)
ival-sub: 1.0ms (13.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB 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
y
@inf
(- (* x y) (* z y))
1.0ms
x
@-inf
(* (- (* x y) (* z y)) t)
1.0ms
t
@0
(* (- (* x y) (* z y)) t)
0.0ms
y
@0
(- (* x y) (* z y))
0.0ms
y
@-inf
(- (* x y) (* z y))

rewrite451.0ms (3.4%)

Memory
31.9MiB live, 765.9MiB allocated
Algorithm
1×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
1×iter limit
1×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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(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))))
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(*.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))
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(*.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))) t))
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(*.f64 (-.f64 x z) (*.f64 y t))
(*.f64 (*.f64 y t) (-.f64 x z))
(*.f64 (*.f64 t (-.f64 x z)) y)
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(*.f64 (/.f64 t y) (/.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) (+.f64 x z)))
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(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)
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(*.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)))

simplify314.0ms (2.4%)

Memory
-35.3MiB live, 264.6MiB allocated
Algorithm
1×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
1×iter limit
1×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))))
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(* 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)
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(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
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(* z (- (/ (* x y) z) y))
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(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
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(* -1 (* t (* y z)))
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(* 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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(* t (* y (- x z)))
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(* t (* y (- x z)))
(* t (* y (- x z)))
(* t (* y (- x z)))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
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(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* -1 (* t (* y (- (* -1 x) (* -1 z)))))
(* t (* x y))
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(* 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))

eval73.0ms (0.6%)

Memory
28.8MiB live, 103.9MiB allocated
Compiler

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

prune105.0ms (0.8%)

Memory
-8.6MiB live, 109.1MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New41210422
Fresh000
Picked011
Done000
Total41211423
Accuracy
100.0%
Counts
423 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(fma.f64 y (fma.f64 x t #s(literal 0 binary64)) #s(literal 0 binary64))
60.1%
(/.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))))
▶54.6%
(/.f64 (*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) (*.f64 y (+.f64 x z)))
▶97.4%
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
▶54.3%
(*.f64 (fma.f64 y x #s(literal 0 binary64)) t)
10.1%
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))))) t)
✓96.8%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
91.0%
(*.f64 (-.f64 x z) (*.f64 y t))
▶97.6%
(*.f64 (*.f64 (-.f64 x z) y) t)
55.9%
(*.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) (/.f64 t (*.f64 y (+.f64 x z))))
▶88.8%
(*.f64 (*.f64 t (-.f64 x z)) y)
Compiler

Compiled 383 to 206 computations (46.2% saved)

simplify309.0ms (2.3%)

Memory
-3.5MiB live, 470.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x z)
✓cost-diff0
(+.f64 x z)
✓cost-diff0
(*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))
✓cost-diff2304
(/.f64 (*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) (*.f64 y (+.f64 x z)))
✓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))))
✓cost-diff-64
(*.f64 t (-.f64 x z))
✓cost-diff0
(-.f64 x z)
✓cost-diff0
(*.f64 (*.f64 t (-.f64 x z)) y)
✓cost-diff0
(fma.f64 y x #s(literal 0 binary64))
✓cost-diff0
(*.f64 (fma.f64 y x #s(literal 0 binary64)) t)
✓cost-diff-64
(*.f64 (-.f64 x z) y)
✓cost-diff0
(-.f64 x z)
✓cost-diff0
(*.f64 (*.f64 (-.f64 x z) y) t)
Rules
5 492×accelerator-lowering-fma.f32
5 492×accelerator-lowering-fma.f64
3 656×/-lowering-/.f32
3 656×/-lowering-/.f64
3 262×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023137
163137
2196137
31041137
44501137
57165137
08788137
Stop Event
1×iter limit
1×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
(/ t (/ 1 (* y (- x z))))
t
(/ 1 (* y (- x z)))
1
(* y (- x z))
y
(- x z)
x
z
(/ (* t (* y (* (+ x z) (* y (- x z))))) (* y (+ x z)))
(* t (* y (* (+ x z) (* y (- x z)))))
t
(* y (* (+ x z) (* y (- x z))))
y
(* (+ x z) (* y (- x z)))
(+ x z)
x
z
(* y (- x z))
(- x z)
(* y (+ x z))
Outputs
(* (* (- x z) y) t)
(fma.f64 (-.f64 x z) (*.f64 y t) #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 x (*.f64 y t) #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) (*.f64 y t) #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
(/ t (/ 1 (* y (- x z))))
(fma.f64 (-.f64 x z) (*.f64 y t) #s(literal 0 binary64))
t
(/ 1 (* y (- x z)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) y #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
y
(- x z)
(-.f64 x z)
x
z
(/ (* t (* y (* (+ x z) (* y (- x z))))) (* y (+ x z)))
(fma.f64 (-.f64 x z) (*.f64 y t) #s(literal 0 binary64))
(* t (* y (* (+ x z) (* y (- x z)))))
(fma.f64 y (fma.f64 (-.f64 x z) (fma.f64 t (fma.f64 y (+.f64 x z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
t
(* y (* (+ x z) (* y (- x z))))
(fma.f64 (+.f64 x z) (fma.f64 (-.f64 x z) (*.f64 y y) #s(literal 0 binary64)) #s(literal 0 binary64))
y
(* (+ x z) (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 y (+.f64 x z) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ x z)
(+.f64 x z)
x
z
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(- x z)
(-.f64 x z)
(* y (+ x z))
(fma.f64 y (+.f64 x z) #s(literal 0 binary64))

localize101.0ms (0.8%)

Memory
13.2MiB live, 129.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))
✓accuracy92.6%
(*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))))
✓accuracy91.1%
(*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))
✓accuracy68.5%
(/.f64 (*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) (*.f64 y (+.f64 x z)))
✓accuracy100.0%
(-.f64 x z)
✓accuracy100.0%
(*.f64 y (-.f64 x z))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))
✓accuracy97.5%
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x 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))
✓accuracy94.6%
(*.f64 (fma.f64 y x #s(literal 0 binary64)) t)
✓accuracy100.0%
(-.f64 x z)
✓accuracy100.0%
(*.f64 (-.f64 x z) y)
✓accuracy97.6%
(*.f64 (*.f64 (-.f64 x z) y) t)
Samples
41.0ms256×0valid
Compiler

Compiled 155 to 25 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 15.0ms (62.4% of total)
ival-div: 5.0ms (20.8% of total)
ival-sub: 2.0ms (8.3% of total)
ival-add: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
-15.2MiB live, 102.5MiB allocated
Counts
15 → 564
Calls
Call 1
Inputs
#<alt (* (* (- x z) y) t)>
#<alt (- x z)>
#<alt (* (- x z) y)>
#<alt (* (+ (* y x) 0) t)>
#<alt (+ (* y x) 0)>
#<alt (* (* t (- x z)) y)>
#<alt (* t (- x z))>
#<alt (/ t (/ 1 (* y (- x z))))>
#<alt (/ 1 (* y (- x z)))>
#<alt (* y (- x z))>
#<alt (/ (* t (* y (* (+ x z) (* y (- x z))))) (* y (+ x z)))>
#<alt (* y (* (+ x z) (* y (- x z))))>
#<alt (+ x z)>
#<alt (* t (* y (* (+ x z) (* y (- x z)))))>
#<alt (* (+ x z) (* y (- x z)))>
Outputs
#<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 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* (pow y 2) (* (+ x z) (- x z)))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (* (pow y 2) (+ z (* -1 z)))))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* x (pow y 2)) (* (pow y 2) (+ z (* -1 z))))))>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* x (pow y 2)) (* (pow y 2) (+ z (* -1 z))))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ (* (pow y 2) (+ z (* -1 z))) x) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* (pow y 2) (+ z (* -1 z))) x) (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* (pow y 2) (+ z (* -1 z))) x) (pow y 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ (* (pow y 2) (+ z (* -1 z))) x) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ z (* -1 z)))) (/ (* (pow y 2) (pow z 2)) x)) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ z (* -1 z)))) (/ (* (pow y 2) (pow z 2)) x)) x)) (pow y 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (+ (* (pow x 2) (pow y 2)) (* (pow y 2) (* z (+ x (* -1 x)))))>
#<alt (+ (* z (+ (* -1 (* (pow y 2) z)) (* (pow y 2) (+ x (* -1 x))))) (* (pow x 2) (pow y 2)))>
#<alt (+ (* z (+ (* -1 (* (pow y 2) z)) (* (pow y 2) (+ x (* -1 x))))) (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 (pow y 2)) (/ (* (pow y 2) (+ x (* -1 x))) z)))>
#<alt (* (pow z 2) (+ (* -1 (pow y 2)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 2)) (/ (* (pow y 2) (+ x (* -1 x))) z))))>
#<alt (* (pow z 2) (+ (* -1 (pow y 2)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 2)) (/ (* (pow y 2) (+ x (* -1 x))) z))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* (pow y 2) (+ x (* -1 x))) z)) (* -1 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* (pow y 2) (+ x (* -1 x)))) z)) (* -1 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* (pow y 2) (+ x (* -1 x)))) z)) (* -1 (pow y 2))))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* t (* (pow y 2) (* (+ x z) (- x z))))>
#<alt (* -1 (* t (* (pow y 2) (pow z 2))))>
#<alt (+ (* -1 (* t (* (pow y 2) (pow z 2)))) (* t (* x (* (pow y 2) (+ z (* -1 z))))))>
#<alt (+ (* -1 (* t (* (pow y 2) (pow z 2)))) (* x (+ (* t (* x (pow y 2))) (* t (* (pow y 2) (+ z (* -1 z)))))))>
#<alt (+ (* -1 (* t (* (pow y 2) (pow z 2)))) (* x (+ (* t (* x (pow y 2))) (* t (* (pow y 2) (+ z (* -1 z)))))))>
#<alt (* t (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* t (pow y 2)) (/ (* t (* (pow y 2) (+ z (* -1 z)))) x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (* t (* (pow y 2) (pow z 2))) (pow x 2))) (+ (* t (pow y 2)) (/ (* t (* (pow y 2) (+ z (* -1 z)))) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* t (* (pow y 2) (pow z 2))) (pow x 2))) (+ (* t (pow y 2)) (/ (* t (* (pow y 2) (+ z (* -1 z)))) x))))>
#<alt (* t (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* t (pow y 2)) (/ (* t (* (pow y 2) (+ z (* -1 z)))) x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* t (* (pow y 2) (+ z (* -1 z))))) (/ (* t (* (pow y 2) (pow z 2))) x)) x)) (* t (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* t (* (pow y 2) (+ z (* -1 z))))) (/ (* t (* (pow y 2) (pow z 2))) x)) x)) (* t (pow y 2))))>
#<alt (* t (* (pow x 2) (pow y 2)))>
#<alt (+ (* t (* (pow x 2) (pow y 2))) (* t (* (pow y 2) (* z (+ x (* -1 x))))))>
#<alt (+ (* t (* (pow x 2) (pow y 2))) (* z (+ (* -1 (* t (* (pow y 2) z))) (* t (* (pow y 2) (+ x (* -1 x)))))))>
#<alt (+ (* t (* (pow x 2) (pow y 2))) (* z (+ (* -1 (* t (* (pow y 2) z))) (* t (* (pow y 2) (+ x (* -1 x)))))))>
#<alt (* -1 (* t (* (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* t (pow y 2))) (/ (* t (* (pow y 2) (+ x (* -1 x)))) z)))>
#<alt (* (pow z 2) (+ (* -1 (* t (pow y 2))) (+ (/ (* t (* (pow x 2) (pow y 2))) (pow z 2)) (/ (* t (* (pow y 2) (+ x (* -1 x)))) z))))>
#<alt (* (pow z 2) (+ (* -1 (* t (pow y 2))) (+ (/ (* t (* (pow x 2) (pow y 2))) (pow z 2)) (/ (* t (* (pow y 2) (+ x (* -1 x)))) z))))>
#<alt (* -1 (* t (* (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* t (pow y 2))) (* -1 (/ (* t (* (pow y 2) (+ x (* -1 x)))) z))))>
#<alt (* (pow z 2) (+ (* -1 (* t (pow y 2))) (* -1 (/ (+ (* -1 (/ (* t (* (pow x 2) (pow y 2))) z)) (* t (* (pow y 2) (+ x (* -1 x))))) z))))>
#<alt (* (pow z 2) (+ (* -1 (* t (pow y 2))) (* -1 (/ (+ (* -1 (/ (* t (* (pow x 2) (pow y 2))) z)) (* t (* (pow y 2) (+ x (* -1 x))))) z))))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (+ (* -1 (* y (pow z 2))) (* x (* y (+ z (* -1 z)))))>
#<alt (+ (* -1 (* y (pow z 2))) (* x (+ (* x y) (* y (+ z (* -1 z))))))>
#<alt (+ (* -1 (* y (pow z 2))) (* x (+ (* x y) (* y (+ z (* -1 z))))))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) (+ y (/ (* y (+ z (* -1 z))) x)))>
#<alt (* (pow x 2) (+ y (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (+ z (* -1 z))) x))))>
#<alt (* (pow x 2) (+ y (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (+ z (* -1 z))) x))))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) (+ y (/ (* y (+ z (* -1 z))) x)))>
#<alt (* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* y (+ z (* -1 z)))) (/ (* y (pow z 2)) x)) x))))>
#<alt (* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* y (+ z (* -1 z)))) (/ (* y (pow z 2)) x)) x))))>
#<alt (* (pow x 2) y)>
#<alt (+ (* y (* z (+ x (* -1 x)))) (* (pow x 2) y))>
#<alt (+ (* z (+ (* -1 (* y z)) (* y (+ x (* -1 x))))) (* (pow x 2) y))>
#<alt (+ (* z (+ (* -1 (* y z)) (* y (+ x (* -1 x))))) (* (pow x 2) y))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 y) (/ (* y (+ x (* -1 x))) z)))>
#<alt (* (pow z 2) (+ (* -1 y) (+ (/ (* y (+ x (* -1 x))) z) (/ (* (pow x 2) y) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -1 y) (+ (/ (* y (+ x (* -1 x))) z) (/ (* (pow x 2) y) (pow z 2)))))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 y) (* -1 (/ (* y (+ x (* -1 x))) z))))>
#<alt (* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) y) z)) (* y (+ x (* -1 x)))) z))))>
#<alt (* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) y) z)) (* y (+ x (* -1 x)))) z))))>
#<alt (* y (* (+ x z) (- x z)))>
#<alt (* y (* (+ x z) (- x z)))>
#<alt (* y (* (+ x z) (- x z)))>
#<alt (* y (* (+ x z) (- x z)))>
#<alt (* y (* (+ x z) (- x z)))>
#<alt (* y (* (+ x z) (- x z)))>
#<alt (* y (* (+ x z) (- x z)))>
#<alt (* y (* (+ x z) (- x z)))>
#<alt (* y (* (+ x z) (- x z)))>
#<alt (* y (* (+ x z) (- x z)))>
#<alt (* y (* (+ x z) (- x z)))>
#<alt (* y (* (+ x z) (- x z)))>
Calls

141 calls:

TimeVariablePointExpression
3.0ms
t
@inf
(* (+ (* y x) 0) t)
2.0ms
y
@-inf
(* (+ (* y x) 0) t)
2.0ms
x
@inf
(* (* (- x z) y) t)
2.0ms
x
@-inf
(* y (* (+ x z) (* y (- x z))))
1.0ms
t
@0
(* t (* y (* (+ x z) (* y (- x z)))))

rewrite952.0ms (7.2%)

Memory
27.6MiB live, 1 430.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 562×accelerator-lowering-fma.f32
6 562×accelerator-lowering-fma.f64
6 314×*-lowering-*.f32
6 314×*-lowering-*.f64
3 884×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02397
111497
285897
0851397
Stop Event
1×iter limit
1×node limit
Counts
15 → 4 254
Calls
Call 1
Inputs
(* (* (- x z) y) t)
(- x z)
(* (- x z) y)
(* (+ (* y x) 0) t)
(+ (* y x) 0)
(* (* t (- x z)) y)
(* t (- x z))
(/ t (/ 1 (* y (- x z))))
(/ 1 (* y (- x z)))
(* y (- x z))
(/ (* t (* y (* (+ x z) (* y (- x z))))) (* y (+ x z)))
(* y (* (+ x z) (* y (- x z))))
(+ x z)
(* t (* y (* (+ x z) (* y (- x z)))))
(* (+ x z) (* y (- x z)))
Outputs
(+.f64 (fma.f64 x (*.f64 y t) #s(literal 0 binary64)) (*.f64 y (neg.f64 (*.f64 t z))))
(+.f64 (fma.f64 x (*.f64 y t) #s(literal 0 binary64)) (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) z) t)))
(+.f64 (fma.f64 x (*.f64 y t) #s(literal 0 binary64)) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 z y))))
(+.f64 (fma.f64 x (*.f64 y t) #s(literal 0 binary64)) (*.f64 (*.f64 y t) (-.f64 #s(literal 0 binary64) z)))
(+.f64 (fma.f64 x (*.f64 y t) #s(literal 0 binary64)) (*.f64 (neg.f64 (*.f64 t z)) y))
(+.f64 (fma.f64 x (*.f64 y t) #s(literal 0 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) t) y))
(+.f64 (fma.f64 x (*.f64 y t) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) t))
(+.f64 (fma.f64 x (*.f64 y t) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y t)))
(+.f64 (*.f64 (*.f64 y t) (-.f64 #s(literal 0 binary64) z)) (fma.f64 x (*.f64 y t) #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 y t) y) (fma.f64 x y #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y t) y) (-.f64 #s(literal 0 binary64) (*.f64 z y))))
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 y t) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 x z)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (*.f64 y t) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 x z)) (*.f64 z (-.f64 z x))))
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 y t) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 x z)) (*.f64 z (-.f64 z x))) (*.f64 (*.f64 (/.f64 (*.f64 y t) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 x z)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 t (*.f64 y (*.f64 (-.f64 x z) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y))) x) (*.f64 (*.f64 (*.f64 t (*.f64 y (*.f64 (-.f64 x z) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y))) (-.f64 #s(literal 0 binary64) z)))
(+.f64 (*.f64 (*.f64 (*.f64 t (*.f64 y (*.f64 (-.f64 x z) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y))) (-.f64 #s(literal 0 binary64) z)) (*.f64 (*.f64 (*.f64 t (*.f64 y (*.f64 (-.f64 x z) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y))) x))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y t)) (fma.f64 x (*.f64 y t) #s(literal 0 binary64)))
(+.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 (*.f64 y t) y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (/.f64 (*.f64 y t) y)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y t) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 x z))) (*.f64 (*.f64 z (-.f64 z x)) (*.f64 (/.f64 (*.f64 y t) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 x z))))
(+.f64 (*.f64 (*.f64 z (-.f64 z x)) (*.f64 (/.f64 (*.f64 y t) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 x z))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y t) (fma.f64 z (-.f64 z x) (*.f64 x x))) (-.f64 x z))))
(+.f64 (*.f64 x (*.f64 (*.f64 t (*.f64 y (*.f64 (-.f64 x z) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 t (*.f64 y (*.f64 (-.f64 x z) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y)))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 t (*.f64 y (*.f64 (-.f64 x z) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y)))) (*.f64 x (*.f64 (*.f64 t (*.f64 y (*.f64 (-.f64 x z) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (-.f64 x z) t)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 x z) #s(literal 0 binary64)))) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x z) y))) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) y))))
(fma.f64 x (*.f64 y t) (*.f64 y (neg.f64 (*.f64 t z))))
(fma.f64 x (*.f64 y t) (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) z) t)))
(fma.f64 x (*.f64 y t) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 z y))))
(fma.f64 x (*.f64 y t) (*.f64 (*.f64 y t) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 x (*.f64 y t) (*.f64 (neg.f64 (*.f64 t z)) y))
(fma.f64 x (*.f64 y t) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) t) y))
(fma.f64 x (*.f64 y t) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) t))
(fma.f64 x (*.f64 y t) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y t)))
(fma.f64 x (*.f64 (*.f64 t (*.f64 y (*.f64 (-.f64 x z) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y))) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 t (*.f64 y (*.f64 (-.f64 x z) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y)))))
(fma.f64 y (*.f64 t x) (*.f64 y (neg.f64 (*.f64 t z))))
(fma.f64 y (*.f64 t x) (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) z) t)))
(fma.f64 y (*.f64 t x) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 z y))))
(fma.f64 y (*.f64 t x) (*.f64 (*.f64 y t) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 y (*.f64 t x) (*.f64 (neg.f64 (*.f64 t z)) y))
(fma.f64 y (*.f64 t x) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) t) y))
(fma.f64 y (*.f64 t x) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) t))
(fma.f64 y (*.f64 t x) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y t)))
(fma.f64 y (*.f64 x t) (*.f64 y (neg.f64 (*.f64 t z))))
(fma.f64 y (*.f64 x t) (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) z) t)))
(fma.f64 y (*.f64 x t) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 z y))))
(fma.f64 y (*.f64 x t) (*.f64 (*.f64 y t) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 y (*.f64 x t) (*.f64 (neg.f64 (*.f64 t z)) y))
(fma.f64 y (*.f64 x t) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) t) y))
(fma.f64 y (*.f64 x t) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) t))
(fma.f64 y (*.f64 x t) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y t)))
(fma.f64 t (fma.f64 x y #s(literal 0 binary64)) (*.f64 y (neg.f64 (*.f64 t z))))
(fma.f64 t (fma.f64 x y #s(literal 0 binary64)) (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) z) t)))
(fma.f64 t (fma.f64 x y #s(literal 0 binary64)) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 z y))))
(fma.f64 t (fma.f64 x y #s(literal 0 binary64)) (*.f64 (*.f64 y t) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 t (fma.f64 x y #s(literal 0 binary64)) (*.f64 (neg.f64 (*.f64 t z)) y))
(fma.f64 t (fma.f64 x y #s(literal 0 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) t) y))
(fma.f64 t (fma.f64 x y #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) t))
(fma.f64 t (fma.f64 x y #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y t)))
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simplify572.0ms (4.3%)

Memory
-31.1MiB live, 927.9MiB allocated
Algorithm
1×egg-herbie
Rules
13 544×accelerator-lowering-fma.f32
13 544×accelerator-lowering-fma.f64
4 370×*-lowering-*.f32
4 370×*-lowering-*.f64
3 140×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03775865
112974872
242744517
083994491
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
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(* (pow z 2) (+ (* -1 (pow y 2)) (/ (* (pow y 2) (+ x (* -1 x))) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 2)) (/ (* (pow y 2) (+ x (* -1 x))) z))))
(* (pow z 2) (+ (* -1 (pow y 2)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 2)) (/ (* (pow y 2) (+ x (* -1 x))) z))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow y 2) (+ x (* -1 x))) z)) (* -1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* (pow y 2) (+ x (* -1 x)))) z)) (* -1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* (pow y 2) (+ x (* -1 x)))) z)) (* -1 (pow y 2))))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* t (* (pow y 2) (* (+ x z) (- x z))))
(* -1 (* t (* (pow y 2) (pow z 2))))
(+ (* -1 (* t (* (pow y 2) (pow z 2)))) (* t (* x (* (pow y 2) (+ z (* -1 z))))))
(+ (* -1 (* t (* (pow y 2) (pow z 2)))) (* x (+ (* t (* x (pow y 2))) (* t (* (pow y 2) (+ z (* -1 z)))))))
(+ (* -1 (* t (* (pow y 2) (pow z 2)))) (* x (+ (* t (* x (pow y 2))) (* t (* (pow y 2) (+ z (* -1 z)))))))
(* t (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* t (pow y 2)) (/ (* t (* (pow y 2) (+ z (* -1 z)))) x)))
(* (pow x 2) (+ (* -1 (/ (* t (* (pow y 2) (pow z 2))) (pow x 2))) (+ (* t (pow y 2)) (/ (* t (* (pow y 2) (+ z (* -1 z)))) x))))
(* (pow x 2) (+ (* -1 (/ (* t (* (pow y 2) (pow z 2))) (pow x 2))) (+ (* t (pow y 2)) (/ (* t (* (pow y 2) (+ z (* -1 z)))) x))))
(* t (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* t (pow y 2)) (/ (* t (* (pow y 2) (+ z (* -1 z)))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* t (* (pow y 2) (+ z (* -1 z))))) (/ (* t (* (pow y 2) (pow z 2))) x)) x)) (* t (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* t (* (pow y 2) (+ z (* -1 z))))) (/ (* t (* (pow y 2) (pow z 2))) x)) x)) (* t (pow y 2))))
(* t (* (pow x 2) (pow y 2)))
(+ (* t (* (pow x 2) (pow y 2))) (* t (* (pow y 2) (* z (+ x (* -1 x))))))
(+ (* t (* (pow x 2) (pow y 2))) (* z (+ (* -1 (* t (* (pow y 2) z))) (* t (* (pow y 2) (+ x (* -1 x)))))))
(+ (* t (* (pow x 2) (pow y 2))) (* z (+ (* -1 (* t (* (pow y 2) z))) (* t (* (pow y 2) (+ x (* -1 x)))))))
(* -1 (* t (* (pow y 2) (pow z 2))))
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(* -1 (* t (* (pow y 2) (pow z 2))))
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(* (pow z 2) (+ (* -1 (* t (pow y 2))) (* -1 (/ (+ (* -1 (/ (* t (* (pow x 2) (pow y 2))) z)) (* t (* (pow y 2) (+ x (* -1 x))))) z))))
(* (pow z 2) (+ (* -1 (* t (pow y 2))) (* -1 (/ (+ (* -1 (/ (* t (* (pow x 2) (pow y 2))) z)) (* t (* (pow y 2) (+ x (* -1 x))))) z))))
(* -1 (* y (pow z 2)))
(+ (* -1 (* y (pow z 2))) (* x (* y (+ z (* -1 z)))))
(+ (* -1 (* y (pow z 2))) (* x (+ (* x y) (* y (+ z (* -1 z))))))
(+ (* -1 (* y (pow z 2))) (* x (+ (* x y) (* y (+ z (* -1 z))))))
(* (pow x 2) y)
(* (pow x 2) (+ y (/ (* y (+ z (* -1 z))) x)))
(* (pow x 2) (+ y (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (+ z (* -1 z))) x))))
(* (pow x 2) (+ y (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (+ z (* -1 z))) x))))
(* (pow x 2) y)
(* (pow x 2) (+ y (/ (* y (+ z (* -1 z))) x)))
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* y (+ z (* -1 z)))) (/ (* y (pow z 2)) x)) x))))
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* y (+ z (* -1 z)))) (/ (* y (pow z 2)) x)) x))))
(* (pow x 2) y)
(+ (* y (* z (+ x (* -1 x)))) (* (pow x 2) y))
(+ (* z (+ (* -1 (* y z)) (* y (+ x (* -1 x))))) (* (pow x 2) y))
(+ (* z (+ (* -1 (* y z)) (* y (+ x (* -1 x))))) (* (pow x 2) y))
(* -1 (* y (pow z 2)))
(* (pow z 2) (+ (* -1 y) (/ (* y (+ x (* -1 x))) z)))
(* (pow z 2) (+ (* -1 y) (+ (/ (* y (+ x (* -1 x))) z) (/ (* (pow x 2) y) (pow z 2)))))
(* (pow z 2) (+ (* -1 y) (+ (/ (* y (+ x (* -1 x))) z) (/ (* (pow x 2) y) (pow z 2)))))
(* -1 (* y (pow z 2)))
(* (pow z 2) (+ (* -1 y) (* -1 (/ (* y (+ x (* -1 x))) z))))
(* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) y) z)) (* y (+ x (* -1 x)))) z))))
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(* y (* (+ x z) (- x z)))
(* y (* (+ x z) (- x z)))
(* y (* (+ x z) (- x z)))
(* y (* (+ x z) (- x z)))
(* y (* (+ x z) (- x z)))
(* y (* (+ x z) (- x z)))
(* y (* (+ x z) (- x z)))
(* y (* (+ x z) (- x z)))
(* y (* (+ x z) (- x z)))
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Outputs
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x
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(* x y)
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(fma.f64 t (fma.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ (* t (pow y 2)) (/ (* t (* (pow y 2) (+ z (* -1 z)))) x)))
(fma.f64 t (fma.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* t (* (pow y 2) (+ z (* -1 z))))) (/ (* t (* (pow y 2) (pow z 2))) x)) x)) (* t (pow y 2))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (*.f64 t (*.f64 y y)) (-.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y (*.f64 y z))) z) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* t (* (pow y 2) (+ z (* -1 z))))) (/ (* t (* (pow y 2) (pow z 2))) x)) x)) (* t (pow y 2))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (*.f64 t (*.f64 y y)) (-.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y (*.f64 y z))) z) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))
(* t (* (pow x 2) (pow y 2)))
(fma.f64 t (fma.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* t (* (pow x 2) (pow y 2))) (* t (* (pow y 2) (* z (+ x (* -1 x))))))
(fma.f64 t (fma.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* t (* (pow x 2) (pow y 2))) (* z (+ (* -1 (* t (* (pow y 2) z))) (* t (* (pow y 2) (+ x (* -1 x)))))))
(fma.f64 (*.f64 t (*.f64 y y)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 z z))) #s(literal 0 binary64))
(+ (* t (* (pow x 2) (pow y 2))) (* z (+ (* -1 (* t (* (pow y 2) z))) (* t (* (pow y 2) (+ x (* -1 x)))))))
(fma.f64 (*.f64 t (*.f64 y y)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 z z))) #s(literal 0 binary64))
(* -1 (* t (* (pow y 2) (pow z 2))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t (*.f64 y (*.f64 y z))) z))
(* (pow z 2) (+ (* -1 (* t (pow y 2))) (/ (* t (* (pow y 2) (+ x (* -1 x)))) z)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t (*.f64 y (*.f64 y z))) z))
(* (pow z 2) (+ (* -1 (* t (pow y 2))) (+ (/ (* t (* (pow x 2) (pow y 2))) (pow z 2)) (/ (* t (* (pow y 2) (+ x (* -1 x)))) z))))
(fma.f64 z (*.f64 z (fma.f64 t (fma.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 z z))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow z 2) (+ (* -1 (* t (pow y 2))) (+ (/ (* t (* (pow x 2) (pow y 2))) (pow z 2)) (/ (* t (* (pow y 2) (+ x (* -1 x)))) z))))
(fma.f64 z (*.f64 z (fma.f64 t (fma.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 z z))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* t (* (pow y 2) (pow z 2))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t (*.f64 y (*.f64 y z))) z))
(* (pow z 2) (+ (* -1 (* t (pow y 2))) (* -1 (/ (* t (* (pow y 2) (+ x (* -1 x)))) z))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t (*.f64 y (*.f64 y z))) z))
(* (pow z 2) (+ (* -1 (* t (pow y 2))) (* -1 (/ (+ (* -1 (/ (* t (* (pow x 2) (pow y 2))) z)) (* t (* (pow y 2) (+ x (* -1 x))))) z))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 t (*.f64 y y) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 t (fma.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 z z)))))
(* (pow z 2) (+ (* -1 (* t (pow y 2))) (* -1 (/ (+ (* -1 (/ (* t (* (pow x 2) (pow y 2))) z)) (* t (* (pow y 2) (+ x (* -1 x))))) z))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 t (*.f64 y y) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 t (fma.f64 y (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 z z)))))
(* -1 (* y (pow z 2)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y z)))
(+ (* -1 (* y (pow z 2))) (* x (* y (+ z (* -1 z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y z)))
(+ (* -1 (* y (pow z 2))) (* x (+ (* x y) (* y (+ z (* -1 z))))))
(fma.f64 y (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 z z))) #s(literal 0 binary64))
(+ (* -1 (* y (pow z 2))) (* x (+ (* x y) (* y (+ z (* -1 z))))))
(fma.f64 y (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 z z))) #s(literal 0 binary64))
(* (pow x 2) y)
(fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ y (/ (* y (+ z (* -1 z))) x)))
(fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ y (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (+ z (* -1 z))) x))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (*.f64 y (*.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64)))))) #s(literal 0 binary64))
(* (pow x 2) (+ y (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (+ z (* -1 z))) x))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (*.f64 y (*.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64)))))) #s(literal 0 binary64))
(* (pow x 2) y)
(fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ y (/ (* y (+ z (* -1 z))) x)))
(fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* y (+ z (* -1 z)))) (/ (* y (pow z 2)) x)) x))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (-.f64 (*.f64 y (*.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))))) #s(literal 0 binary64))))
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* y (+ z (* -1 z)))) (/ (* y (pow z 2)) x)) x))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 y (-.f64 (*.f64 y (*.f64 z (/.f64 z (fma.f64 x x #s(literal 0 binary64))))) #s(literal 0 binary64))))
(* (pow x 2) y)
(fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* y (* z (+ x (* -1 x)))) (* (pow x 2) y))
(fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* z (+ (* -1 (* y z)) (* y (+ x (* -1 x))))) (* (pow x 2) y))
(fma.f64 y (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 z z))) #s(literal 0 binary64))
(+ (* z (+ (* -1 (* y z)) (* y (+ x (* -1 x))))) (* (pow x 2) y))
(fma.f64 y (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 z z))) #s(literal 0 binary64))
(* -1 (* y (pow z 2)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y z)))
(* (pow z 2) (+ (* -1 y) (/ (* y (+ x (* -1 x))) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y z)))
(* (pow z 2) (+ (* -1 y) (+ (/ (* y (+ x (* -1 x))) z) (/ (* (pow x 2) y) (pow z 2)))))
(fma.f64 (*.f64 z z) (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 z z))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow z 2) (+ (* -1 y) (+ (/ (* y (+ x (* -1 x))) z) (/ (* (pow x 2) y) (pow z 2)))))
(fma.f64 (*.f64 z z) (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 z z))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (pow z 2)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y z)))
(* (pow z 2) (+ (* -1 y) (* -1 (/ (* y (+ x (* -1 x))) z))))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y z)))
(* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) y) z)) (* y (+ x (* -1 x)))) z))))
(neg.f64 (*.f64 (*.f64 z z) (+.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 z z))))))
(* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) y) z)) (* y (+ x (* -1 x)))) z))))
(neg.f64 (*.f64 (*.f64 z z) (+.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 z z))))))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))
(* y (* (+ x z) (- x z)))
(*.f64 (-.f64 x z) (*.f64 y (+.f64 z x)))

eval999.0ms (7.6%)

Memory
89.8MiB live, 1 818.0MiB allocated
Compiler

Compiled 148 925 to 9 608 computations (93.5% saved)

prune3.2s (24.2%)

Memory
-1.4MiB live, 1 235.6MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New5 73185 739
Fresh415
Picked325
Done011
Total5 738125 750
Accuracy
100.0%
Counts
5 750 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.0%
(/.f64 (*.f64 (*.f64 y (*.f64 (-.f64 x z) y)) t) y)
67.7%
(/.f64 (*.f64 y (*.f64 (*.f64 t (+.f64 x z)) (-.f64 x z))) (+.f64 x z))
54.2%
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y x)))
✓96.8%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
▶91.0%
(*.f64 (-.f64 x z) (*.f64 y t))
✓97.6%
(*.f64 (*.f64 (-.f64 x z) y) t)
▶54.3%
(*.f64 (*.f64 y x) t)
50.9%
(*.f64 (*.f64 y t) x)
90.0%
(*.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) t)
▶50.8%
(*.f64 (*.f64 x t) y)
✓88.8%
(*.f64 (*.f64 t (-.f64 x z)) y)
▶86.1%
(*.f64 x (*.f64 t (-.f64 y (/.f64 (*.f64 y z) x))))
Compiler

Compiled 261 to 164 computations (37.2% saved)

simplify632.0ms (4.8%)

Memory
-86.3MiB live, 350.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 y (*.f64 (-.f64 x z) y))
✓cost-diff-64
(*.f64 (*.f64 y (*.f64 (-.f64 x z) y)) t)
✓cost-diff0
(-.f64 x z)
✓cost-diff1088
(/.f64 (*.f64 (*.f64 y (*.f64 (-.f64 x z) y)) t) y)
✓cost-diff0
(/.f64 (*.f64 y z) x)
✓cost-diff0
(-.f64 y (/.f64 (*.f64 y z) x))
✓cost-diff0
(*.f64 t (-.f64 y (/.f64 (*.f64 y z) x)))
✓cost-diff960
(*.f64 x (*.f64 t (-.f64 y (/.f64 (*.f64 y z) x))))
✓cost-diff-64
(*.f64 y x)
✓cost-diff-64
(*.f64 (*.f64 y x) t)
✓cost-diff-64
(*.f64 x t)
✓cost-diff-64
(*.f64 (*.f64 x t) y)
✓cost-diff-64
(*.f64 y t)
✓cost-diff-64
(*.f64 (-.f64 x z) (*.f64 y t))
✓cost-diff0
(-.f64 x z)
Rules
3 506×accelerator-lowering-fma.f32
3 506×accelerator-lowering-fma.f64
3 470×*-lowering-*.f32
3 470×*-lowering-*.f64
1 454×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020109
146109
2114109
3327109
41002109
52574109
65260109
08071109
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- x z) (* y t))
(- x z)
x
z
(* y t)
y
t
(* (* x t) y)
(* x t)
x
t
y
(* (* y x) t)
(* y x)
y
x
t
(* x (* t (- y (/ (* y z) x))))
x
(* t (- y (/ (* y z) x)))
t
(- y (/ (* y z) x))
y
(/ (* y z) x)
(* y z)
z
(/ (* (* y (* (- x z) y)) t) y)
(* (* y (* (- x z) y)) t)
(* y (* (- x z) y))
y
(* (- x z) y)
(- x z)
x
z
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)
(-.f64 x z)
x
z
(* y t)
(fma.f64 y t #s(literal 0 binary64))
y
t
(* (* x t) y)
(fma.f64 x (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* x t)
(fma.f64 x t #s(literal 0 binary64))
x
t
y
(* (* y x) t)
(fma.f64 x (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* y x)
(fma.f64 x y #s(literal 0 binary64))
y
x
t
(* x (* t (- y (/ (* y z) x))))
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* t (- y (/ (* y z) x)))
(fma.f64 y (*.f64 t (-.f64 #s(literal 1 binary64) (/.f64 z x))) #s(literal 0 binary64))
t
(- y (/ (* y z) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)) #s(literal 0 binary64))
y
(/ (* y z) x)
(fma.f64 z (/.f64 y x) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
z
(/ (* (* y (* (- x z) y)) t) y)
(fma.f64 (-.f64 x z) (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* y (* (- x z) y)) t)
(fma.f64 (-.f64 x z) (fma.f64 t (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (* (- x z) y))
(fma.f64 (-.f64 x z) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
y
(* (- x z) y)
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(- x z)
(-.f64 x z)
x
z
t

localize133.0ms (1%)

Memory
31.0MiB live, 146.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (-.f64 x z) y)
✓accuracy99.8%
(*.f64 y (*.f64 (-.f64 x z) y))
✓accuracy90.5%
(*.f64 (*.f64 y (*.f64 (-.f64 x z) y)) t)
✓accuracy85.9%
(/.f64 (*.f64 (*.f64 y (*.f64 (-.f64 x z) y)) t) y)
✓accuracy100.0%
(-.f64 y (/.f64 (*.f64 y z) x))
✓accuracy99.8%
(*.f64 t (-.f64 y (/.f64 (*.f64 y z) x)))
✓accuracy88.0%
(/.f64 (*.f64 y z) x)
✓accuracy87.3%
(*.f64 x (*.f64 t (-.f64 y (/.f64 (*.f64 y z) x))))
✓accuracy100.0%
(*.f64 y x)
✓accuracy94.6%
(*.f64 (*.f64 y x) t)
✓accuracy100.0%
(*.f64 x t)
✓accuracy93.2%
(*.f64 (*.f64 x t) y)
✓accuracy100.0%
(-.f64 x z)
✓accuracy100.0%
(*.f64 y t)
✓accuracy91.0%
(*.f64 (-.f64 x z) (*.f64 y t))
Samples
110.0ms256×0valid
Compiler

Compiled 119 to 22 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 49.0ms (88.6% of total)
ival-sub: 3.0ms (5.4% of total)
ival-div: 3.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
-12.0MiB live, 67.0MiB allocated
Counts
15 → 552
Calls
Call 1
Inputs
#<alt (- x z)>
#<alt (* (- x z) (* y t))>
#<alt (* y t)>
#<alt (* (* x t) y)>
#<alt (* x t)>
#<alt (* (* y x) t)>
#<alt (* y x)>
#<alt (* x (* t (- y (/ (* y z) x))))>
#<alt (* t (- y (/ (* y z) x)))>
#<alt (- y (/ (* y z) x))>
#<alt (/ (* y z) x)>
#<alt (/ (* (* y (* (- x z) y)) t) y)>
#<alt (* (* y (* (- x z) y)) t)>
#<alt (* y (* (- x z) y))>
#<alt (* (- x z) y)>
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)))>
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Calls

138 calls:

TimeVariablePointExpression
6.0ms
t
@0
(* x (* t (- y (/ (* y z) x))))
3.0ms
x
@inf
(* x (* t (- y (/ (* y z) x))))
2.0ms
t
@inf
(* (* y (* (- x z) y)) t)
1.0ms
y
@-inf
(* x (* t (- y (/ (* y z) x))))
1.0ms
y
@inf
(* x (* t (- y (/ (* y z) x))))

rewrite277.0ms (2.1%)

Memory
0.4MiB live, 555.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 802×*-lowering-*.f32
4 802×*-lowering-*.f64
4 044×accelerator-lowering-fma.f32
4 044×accelerator-lowering-fma.f64
3 390×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02093
18693
256891
0804191
Stop Event
1×iter limit
1×node limit
Counts
15 → 593
Calls
Call 1
Inputs
(- x z)
(* (- x z) (* y t))
(* y t)
(* (* x t) y)
(* x t)
(* (* y x) t)
(* y x)
(* x (* t (- y (/ (* y z) x))))
(* t (- y (/ (* y z) x)))
(- y (/ (* y z) x))
(/ (* y z) x)
(/ (* (* y (* (- x z) y)) t) y)
(* (* y (* (- x z) y)) t)
(* y (* (- x z) y))
(* (- x z) y)
Outputs
(+.f64 x (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 x z))))
(-.f64 x z)
(-.f64 #s(literal 0 binary64) (-.f64 z x))
(-.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 x #s(literal 0 binary64)) z)
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 z (+.f64 x z) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(fma.f64 x (/.f64 x (+.f64 x z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 x z))))
(fma.f64 z #s(literal -1 binary64) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 x z))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 z (+.f64 x z) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal -1 binary64) z x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (+.f64 x z)) (*.f64 z (*.f64 (+.f64 x z) (*.f64 z (+.f64 x z))))))) (fma.f64 (*.f64 z (+.f64 x z)) (-.f64 (*.f64 z (+.f64 x z)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z))))) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x z) (+.f64 x z))) (-.f64 x z) (neg.f64 (/.f64 (*.f64 z z) (+.f64 x z))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 z (-.f64 z x) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 x z))))
(neg.f64 (/.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(neg.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (+.f64 x z)))
(/.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (fma.f64 z (+.f64 x z) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 0 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x) (*.f64 x x)) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (+.f64 x z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x) (*.f64 x x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (+.f64 x z)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (*.f64 (+.f64 x z) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z z) (fma.f64 x x (*.f64 z z))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (-.f64 x z) (+.f64 x z))) (*.f64 (+.f64 x z) (fma.f64 x x (*.f64 z 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 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z z) (fma.f64 x x (*.f64 z z)))) (+.f64 x z)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (-.f64 x z) (+.f64 x z))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z z)) (+.f64 x z)))
(/.f64 (*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) #s(literal 1 binary64)) (+.f64 x z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (*.f64 z z))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (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 (*.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 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))))) (fma.f64 x (/.f64 (*.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 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z))) (*.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)))) (fma.f64 x (/.f64 x (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))))
(/.f64 (*.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z z) (fma.f64 x x (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (fma.f64 x x (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(*.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x) (*.f64 x x))))
(*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (/.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (-.f64 x z))
(*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (+.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (*.f64 (-.f64 x z) (+.f64 x z)))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (*.f64 (-.f64 x z) (+.f64 x z))) (-.f64 x z))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (+.f64 x z)) (*.f64 z (*.f64 (+.f64 x z) (*.f64 z (+.f64 x z))))))) (fma.f64 (*.f64 z (+.f64 x z)) (-.f64 (*.f64 z (+.f64 x z)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z))))) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z))))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 z (-.f64 z x) (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 y t)) (neg.f64 (*.f64 z (*.f64 y t))))
(+.f64 (neg.f64 (*.f64 z (*.f64 y t))) (*.f64 x (*.f64 y t)))
(fma.f64 x (*.f64 y t) (neg.f64 (*.f64 z (*.f64 y t))))
(fma.f64 y (*.f64 x t) (neg.f64 (*.f64 z (*.f64 y t))))
(fma.f64 y (*.f64 t (-.f64 #s(literal 0 binary64) z)) (*.f64 x (*.f64 y t)))
(fma.f64 t (*.f64 x y) (neg.f64 (*.f64 z (*.f64 y t))))
(fma.f64 t (-.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 x (*.f64 y t)))
(fma.f64 (*.f64 y t) x (neg.f64 (*.f64 z (*.f64 y t))))
(fma.f64 (*.f64 y t) (-.f64 #s(literal 0 binary64) z) (*.f64 x (*.f64 y t)))
(fma.f64 (*.f64 x t) y (neg.f64 (*.f64 z (*.f64 y t))))
(fma.f64 (*.f64 x y) t (neg.f64 (*.f64 z (*.f64 y t))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) t (*.f64 x (*.f64 y t)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y t) (*.f64 x (*.f64 y t)))
(fma.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y t)) (*.f64 x (*.f64 y t)))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) t) y (*.f64 x (*.f64 y t)))
(fma.f64 (*.f64 (*.f64 y t) #s(literal -1 binary64)) z (*.f64 x (*.f64 y t)))
(/.f64 (*.f64 y t) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 (*.f64 y t) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (*.f64 y t) (*.f64 (-.f64 x z) (+.f64 x z)))))
(/.f64 (*.f64 (*.f64 y t) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (fma.f64 z (+.f64 x z) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y t) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 y t) (*.f64 (-.f64 x z) (+.f64 x z))) (+.f64 x z))
(/.f64 (neg.f64 (*.f64 (*.f64 y t) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))))
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simplify275.0ms (2.1%)

Memory
18.4MiB live, 531.0MiB allocated
Algorithm
1×egg-herbie
Rules
5 754×accelerator-lowering-fma.f32
5 754×accelerator-lowering-fma.f64
3 152×*-lowering-*.f32
3 152×*-lowering-*.f64
1 796×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01423969
14923279
215033279
337523279
467693279
082863279
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
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(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (pow y 2))))
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (pow y 2))))
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (pow y 2))))
(* -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))))
(* 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)))))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
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))
(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 (* 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))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t (* y (- x z)))
(fma.f64 (-.f64 x z) (fma.f64 t y #s(literal 0 binary64)) #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t y)
(fma.f64 t y #s(literal 0 binary64))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t x)
(*.f64 x t)
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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))
(* t (* x y))
(fma.f64 x (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 y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -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)))
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(fma.f64 (-.f64 x z) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow y 2) z))
(-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (pow y 2))))
(fma.f64 (-.f64 x z) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (pow y 2))))
(fma.f64 (-.f64 x z) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) z)) (pow y 2))))
(fma.f64 (-.f64 x z) (fma.f64 y y #s(literal 0 binary64)) #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))
(* x y)
(fma.f64 x 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))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* x y) z)))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* z (+ (* -1 y) (/ (* 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 (* 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))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))
(* y (- x z))
(fma.f64 (-.f64 x z) y #s(literal 0 binary64))

eval145.0ms (1.1%)

Memory
-2.8MiB live, 321.9MiB allocated
Compiler

Compiled 23 258 to 2 231 computations (90.4% saved)

prune391.0ms (3%)

Memory
10.5MiB live, 207.3MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New1 24711 248
Fresh134
Picked055
Done033
Total1 248121 260
Accuracy
100.0%
Counts
1 260 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.0%
(/.f64 (*.f64 (*.f64 y (*.f64 (-.f64 x z) y)) t) y)
▶67.7%
(/.f64 (*.f64 y (*.f64 (*.f64 t (+.f64 x z)) (-.f64 x z))) (+.f64 x z))
▶54.2%
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y x)))
✓96.8%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
✓91.0%
(*.f64 (-.f64 x z) (*.f64 y t))
✓97.6%
(*.f64 (*.f64 (-.f64 x z) y) t)
✓54.3%
(*.f64 (*.f64 y x) t)
▶50.9%
(*.f64 (*.f64 y t) x)
▶90.8%
(*.f64 (*.f64 x (-.f64 y (*.f64 z (/.f64 y x)))) t)
✓50.8%
(*.f64 (*.f64 x t) y)
✓88.8%
(*.f64 (*.f64 t (-.f64 x z)) y)
✓86.1%
(*.f64 x (*.f64 t (-.f64 y (/.f64 (*.f64 y z) x))))
Compiler

Compiled 148 to 92 computations (37.8% saved)

simplify338.0ms (2.6%)

Memory
-0.9MiB live, 444.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x z)
✓cost-diff0
(*.f64 t (+.f64 x z))
✓cost-diff0
(*.f64 (*.f64 t (+.f64 x z)) (-.f64 x z))
✓cost-diff1536
(/.f64 (*.f64 y (*.f64 (*.f64 t (+.f64 x z)) (-.f64 x z))) (+.f64 x z))
✓cost-diff-64
(*.f64 y x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓cost-diff1024
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y x)))
✓cost-diff-64
(*.f64 y t)
✓cost-diff-64
(*.f64 (*.f64 y t) x)
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(-.f64 y (*.f64 z (/.f64 y x)))
✓cost-diff0
(*.f64 (*.f64 x (-.f64 y (*.f64 z (/.f64 y x)))) t)
✓cost-diff1024
(*.f64 x (-.f64 y (*.f64 z (/.f64 y x))))
Rules
9 756×accelerator-lowering-fma.f32
9 756×accelerator-lowering-fma.f64
4 032×*-lowering-*.f32
4 032×*-lowering-*.f64
1 894×neg-lowering-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
021113
160113
2174113
3596113
41977101
55123101
08247101
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* x (- y (* z (/ y x)))) t)
(* x (- y (* z (/ y x))))
x
(- y (* z (/ y x)))
y
(* z (/ y x))
z
(/ y x)
t
(* (* y t) x)
(* y t)
y
t
x
(/ t (/ 1 (* y x)))
t
(/ 1 (* y x))
1
(* y x)
y
x
(/ (* y (* (* t (+ x z)) (- x z))) (+ x z))
(* y (* (* t (+ x z)) (- x z)))
y
(* (* t (+ x z)) (- x z))
(* t (+ x z))
t
(+ x z)
x
z
(- x z)
Outputs
(* (* x (- y (* z (/ y x)))) t)
(fma.f64 y (*.f64 t (-.f64 x z)) #s(literal 0 binary64))
(* x (- y (* z (/ y x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
x
(- y (* z (/ y x)))
(-.f64 y (fma.f64 z (/.f64 y x) #s(literal 0 binary64)))
y
(* z (/ y x))
(fma.f64 z (/.f64 y x) #s(literal 0 binary64))
z
(/ y x)
(/.f64 y x)
t
(* (* y t) x)
(fma.f64 x (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
(* y t)
(fma.f64 y t #s(literal 0 binary64))
y
t
x
(/ t (/ 1 (* y x)))
(fma.f64 x (fma.f64 y t #s(literal 0 binary64)) #s(literal 0 binary64))
t
(/ 1 (* y x))
(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* y x)
(fma.f64 x y #s(literal 0 binary64))
y
x
(/ (* y (* (* t (+ x z)) (- x z))) (+ x z))
(fma.f64 y (*.f64 t (-.f64 x z)) #s(literal 0 binary64))
(* y (* (* t (+ x z)) (- x z)))
(fma.f64 t (fma.f64 (+.f64 x z) (fma.f64 y (-.f64 x z) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
y
(* (* t (+ x z)) (- x z))
(*.f64 t (*.f64 (+.f64 x z) (-.f64 x z)))
(* t (+ x z))
(*.f64 t (+.f64 x z))
t
(+ x z)
(+.f64 x z)
x
z
(- x z)
(-.f64 x z)

localize62.0ms (0.5%)

Memory
-6.2MiB live, 109.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 t (+.f64 x z))
✓accuracy99.8%
(*.f64 (*.f64 t (+.f64 x z)) (-.f64 x z))
✓accuracy86.3%
(*.f64 y (*.f64 (*.f64 t (+.f64 x z)) (-.f64 x z)))
✓accuracy81.7%
(/.f64 (*.f64 y (*.f64 (*.f64 t (+.f64 x z)) (-.f64 x z))) (+.f64 x z))
✓accuracy100.0%
(*.f64 y x)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓accuracy94.0%
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y x)))
✓accuracy100.0%
(*.f64 y t)
✓accuracy91.6%
(*.f64 (*.f64 y t) x)
✓accuracy100.0%
(-.f64 y (*.f64 z (/.f64 y x)))
✓accuracy97.6%
(*.f64 (*.f64 x (-.f64 y (*.f64 z (/.f64 y x)))) t)
✓accuracy94.7%
(*.f64 x (-.f64 y (*.f64 z (/.f64 y x))))
✓accuracy92.3%
(*.f64 z (/.f64 y x))
Samples
40.0ms256×0valid
Compiler

Compiled 121 to 23 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 14.0ms (56.4% of total)
ival-div: 7.0ms (28.2% of total)
ival-sub: 2.0ms (8.1% of total)
ival-add: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-0.6MiB live, 40.6MiB allocated
Counts
15 → 516
Calls
Call 1
Inputs
#<alt (* x (- y (* z (/ y x))))>
#<alt (* (* x (- y (* z (/ y x)))) t)>
#<alt (- y (* z (/ y x)))>
#<alt (/ y x)>
#<alt (* (* y t) x)>
#<alt (* y t)>
#<alt (/ t (/ 1 (* y x)))>
#<alt (/ 1 (* y x))>
#<alt (* y x)>
#<alt (/ (* y (* (* t (+ x z)) (- x z))) (+ x z))>
#<alt (* (* t (+ x z)) (- x z))>
#<alt (* t (+ x z))>
#<alt (+ x z)>
#<alt (* z (/ y x))>
#<alt (* y (* (* t (+ x z)) (- x z)))>
Outputs
#<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 (- 1 (/ z x))))>
#<alt (* x (* y (- 1 (/ z x))))>
#<alt (* x (* y (- 1 (/ z x))))>
#<alt (* x (* y (- 1 (/ z x))))>
#<alt (* x (* y (- 1 (/ z x))))>
#<alt (* x (* y (- 1 (/ z x))))>
#<alt (* x (* y (- 1 (/ z x))))>
#<alt (* x (* y (- 1 (/ z x))))>
#<alt (* x (* y (+ 1 (* -1 (/ z x)))))>
#<alt (* x (* y (+ 1 (* -1 (/ z x)))))>
#<alt (* x (* y (+ 1 (* -1 (/ z x)))))>
#<alt (* x (* y (+ 1 (* -1 (/ 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 (* -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 (- 1 (/ z x)))))>
#<alt (* t (* x (* y (- 1 (/ z x)))))>
#<alt (* t (* x (* y (- 1 (/ z x)))))>
#<alt (* t (* x (* y (- 1 (/ z x)))))>
#<alt (* t (* x (* y (- 1 (/ z x)))))>
#<alt (* t (* x (* y (- 1 (/ z x)))))>
#<alt (* t (* x (* y (- 1 (/ z x)))))>
#<alt (* t (* x (* y (- 1 (/ z x)))))>
#<alt (* t (* x (* y (+ 1 (* -1 (/ z x))))))>
#<alt (* t (* x (* y (+ 1 (* -1 (/ z x))))))>
#<alt (* t (* x (* y (+ 1 (* -1 (/ z x))))))>
#<alt (* t (* x (* y (+ 1 (* -1 (/ 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 (* x (- y (/ (* y z) x))))>
#<alt (* t (* x (- y (/ (* y z) x))))>
#<alt (* t (* x (- y (/ (* y z) x))))>
#<alt (* t (* x (- y (/ (* y z) x))))>
#<alt (* t (* x (- y (/ (* y z) x))))>
#<alt (* t (* x (- y (/ (* y z) x))))>
#<alt (* t (* x (- y (/ (* y z) x))))>
#<alt (* t (* x (- y (/ (* y z) x))))>
#<alt (* t (* x (- y (/ (* y z) x))))>
#<alt (* t (* x (- y (/ (* y z) x))))>
#<alt (* t (* x (- y (/ (* y z) x))))>
#<alt (* t (* x (- y (/ (* y z) x))))>
#<alt (* y (- 1 (/ z x)))>
#<alt (* y (- 1 (/ z x)))>
#<alt (* y (- 1 (/ z x)))>
#<alt (* y (- 1 (/ z x)))>
#<alt (* y (- 1 (/ z x)))>
#<alt (* y (- 1 (/ z x)))>
#<alt (* y (- 1 (/ z x)))>
#<alt (* y (- 1 (/ z x)))>
#<alt (* y (+ 1 (* -1 (/ z x))))>
#<alt (* y (+ 1 (* -1 (/ z x))))>
#<alt (* y (+ 1 (* -1 (/ z x))))>
#<alt (* y (+ 1 (* -1 (/ z x))))>
#<alt y>
#<alt (+ y (* -1 (/ (* y z) x)))>
#<alt (+ y (* -1 (/ (* y z) x)))>
#<alt (+ y (* -1 (/ (* y z) x)))>
#<alt (* -1 (/ (* y z) x))>
#<alt (* z (- (/ y z) (/ y x)))>
#<alt (* z (- (/ y z) (/ y x)))>
#<alt (* z (- (/ y z) (/ y x)))>
#<alt (* -1 (/ (* y z) x))>
#<alt (* -1 (* z (- (* -1 (/ y z)) (* -1 (/ y x)))))>
#<alt (* -1 (* z (- (* -1 (/ y z)) (* -1 (/ y x)))))>
#<alt (* -1 (* z (- (* -1 (/ y z)) (* -1 (/ y x)))))>
#<alt (* -1 (/ (* y z) x))>
#<alt (/ (- (* x y) (* y z)) x)>
#<alt (/ (- (* x y) (* y z)) x)>
#<alt (/ (- (* x y) (* y z)) x)>
#<alt y>
#<alt (+ y (* -1 (/ (* y z) x)))>
#<alt (+ y (* -1 (/ (* y z) x)))>
#<alt (+ y (* -1 (/ (* y z) x)))>
#<alt y>
#<alt (+ y (* -1 (/ (* y z) x)))>
#<alt (+ y (* -1 (/ (* y z) x)))>
#<alt (+ y (* -1 (/ (* y z) x)))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y 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 (* 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 (* 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 (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* t (* 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 (* t (* (+ x z) (- x z)))>
#<alt (* t (* (+ x z) (- x z)))>
#<alt (* t (* (+ x z) (- x z)))>
#<alt (* t (* (+ x z) (- x z)))>
#<alt (* t (* (+ x z) (- x z)))>
#<alt (* t (* (+ x z) (- x z)))>
#<alt (* t (* (+ x z) (- x z)))>
#<alt (* t (* (+ x z) (- x z)))>
#<alt (* t (* (+ x z) (- x z)))>
#<alt (* t (* (+ x z) (- x z)))>
#<alt (* t (* (+ x z) (- x z)))>
#<alt (* t (* (+ x z) (- x z)))>
#<alt (* -1 (* t (pow z 2)))>
#<alt (+ (* -1 (* t (pow z 2))) (* t (* x (+ z (* -1 z)))))>
#<alt (+ (* -1 (* t (pow z 2))) (* x (+ (* t x) (* t (+ z (* -1 z))))))>
#<alt (+ (* -1 (* t (pow z 2))) (* x (+ (* t x) (* t (+ z (* -1 z))))))>
#<alt (* t (pow x 2))>
#<alt (* (pow x 2) (+ t (/ (* t (+ z (* -1 z))) x)))>
#<alt (* (pow x 2) (+ t (+ (* -1 (/ (* t (pow z 2)) (pow x 2))) (/ (* t (+ z (* -1 z))) x))))>
#<alt (* (pow x 2) (+ t (+ (* -1 (/ (* t (pow z 2)) (pow x 2))) (/ (* t (+ z (* -1 z))) x))))>
#<alt (* t (pow x 2))>
#<alt (* (pow x 2) (+ t (/ (* t (+ z (* -1 z))) x)))>
#<alt (* (pow x 2) (+ t (* -1 (/ (+ (* -1 (* t (+ z (* -1 z)))) (/ (* t (pow z 2)) x)) x))))>
#<alt (* (pow x 2) (+ t (* -1 (/ (+ (* -1 (* t (+ z (* -1 z)))) (/ (* t (pow z 2)) x)) x))))>
#<alt (* t (pow x 2))>
#<alt (+ (* t (* z (+ x (* -1 x)))) (* t (pow x 2)))>
#<alt (+ (* t (pow x 2)) (* z (+ (* -1 (* t z)) (* t (+ x (* -1 x))))))>
#<alt (+ (* t (pow x 2)) (* z (+ (* -1 (* t z)) (* t (+ x (* -1 x))))))>
#<alt (* -1 (* t (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 t) (/ (* t (+ x (* -1 x))) z)))>
#<alt (* (pow z 2) (+ (* -1 t) (+ (/ (* t (+ x (* -1 x))) z) (/ (* t (pow x 2)) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -1 t) (+ (/ (* t (+ x (* -1 x))) z) (/ (* t (pow x 2)) (pow z 2)))))>
#<alt (* -1 (* t (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 t) (* -1 (/ (* t (+ x (* -1 x))) z))))>
#<alt (* (pow z 2) (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (* t (pow x 2)) z)) (* t (+ x (* -1 x)))) z))))>
#<alt (* (pow z 2) (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (* t (pow x 2)) z)) (* t (+ x (* -1 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 z)>
#<alt (+ (* t x) (* t z))>
#<alt (+ (* t x) (* t z))>
#<alt (+ (* t x) (* t z))>
#<alt (* t x)>
#<alt (* x (+ t (/ (* t z) x)))>
#<alt (* x (+ t (/ (* t z) x)))>
#<alt (* x (+ t (/ (* t z) x)))>
#<alt (* t x)>
#<alt (* -1 (* x (+ (* -1 t) (* -1 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 t) (* -1 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 t) (* -1 (/ (* t z) x)))))>
#<alt (* t x)>
#<alt (+ (* t x) (* t z))>
#<alt (+ (* t x) (* t z))>
#<alt (+ (* t x) (* t z))>
#<alt (* t z)>
#<alt (* z (+ t (/ (* t x) z)))>
#<alt (* z (+ t (/ (* t x) z)))>
#<alt (* z (+ t (/ (* t x) z)))>
#<alt (* t z)>
#<alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* t x) z)))))>
#<alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* t x) z)))))>
#<alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* t x) z)))))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* t (* y (* (+ x z) (- x z))))>
#<alt (* -1 (* t (* y (pow z 2))))>
#<alt (+ (* -1 (* t (* y (pow z 2)))) (* t (* x (* y (+ z (* -1 z))))))>
#<alt (+ (* -1 (* t (* y (pow z 2)))) (* x (+ (* t (* x y)) (* t (* y (+ z (* -1 z)))))))>
#<alt (+ (* -1 (* t (* y (pow z 2)))) (* x (+ (* t (* x y)) (* t (* y (+ z (* -1 z)))))))>
#<alt (* t (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* t y) (/ (* t (* y (+ z (* -1 z)))) x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (* t (* y (pow z 2))) (pow x 2))) (+ (* t y) (/ (* t (* y (+ z (* -1 z)))) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* t (* y (pow z 2))) (pow x 2))) (+ (* t y) (/ (* t (* y (+ z (* -1 z)))) x))))>
#<alt (* t (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* t y) (/ (* t (* y (+ z (* -1 z)))) x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* t (* y (+ z (* -1 z))))) (/ (* t (* y (pow z 2))) x)) x)) (* t y)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* t (* y (+ z (* -1 z))))) (/ (* t (* y (pow z 2))) x)) x)) (* t y)))>
#<alt (* t (* (pow x 2) y))>
#<alt (+ (* t (* y (* z (+ x (* -1 x))))) (* t (* (pow x 2) y)))>
#<alt (+ (* t (* (pow x 2) y)) (* z (+ (* -1 (* t (* y z))) (* t (* y (+ x (* -1 x)))))))>
#<alt (+ (* t (* (pow x 2) y)) (* z (+ (* -1 (* t (* y z))) (* t (* y (+ x (* -1 x)))))))>
#<alt (* -1 (* t (* y (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* t y)) (/ (* t (* y (+ x (* -1 x)))) z)))>
#<alt (* (pow z 2) (+ (* -1 (* t y)) (+ (/ (* t (* y (+ x (* -1 x)))) z) (/ (* t (* (pow x 2) y)) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -1 (* t y)) (+ (/ (* t (* y (+ x (* -1 x)))) z) (/ (* t (* (pow x 2) y)) (pow z 2)))))>
#<alt (* -1 (* t (* y (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* t y)) (* -1 (/ (* t (* y (+ x (* -1 x)))) z))))>
#<alt (* (pow z 2) (+ (* -1 (* t y)) (* -1 (/ (+ (* -1 (/ (* t (* (pow x 2) y)) z)) (* t (* y (+ x (* -1 x))))) z))))>
#<alt (* (pow z 2) (+ (* -1 (* t y)) (* -1 (/ (+ (* -1 (/ (* t (* (pow x 2) y)) z)) (* t (* y (+ x (* -1 x))))) z))))>
Calls

129 calls:

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

rewrite404.0ms (3.1%)

Memory
23.3MiB live, 645.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 550×*-lowering-*.f32
6 550×*-lowering-*.f64
4 796×accelerator-lowering-fma.f32
4 796×accelerator-lowering-fma.f64
4 384×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02199
111891
284891
0866791
Stop Event
1×iter limit
1×node limit
Counts
15 → 1 090
Calls
Call 1
Inputs
(* x (- y (* z (/ y x))))
(* (* x (- y (* z (/ y x)))) t)
(- y (* z (/ y x)))
(/ y x)
(* (* y t) x)
(* y t)
(/ t (/ 1 (* y x)))
(/ 1 (* y x))
(* y x)
(/ (* y (* (* t (+ x z)) (- x z))) (+ x z))
(* (* t (+ x z)) (- x z))
(* t (+ x z))
(+ x z)
(* z (/ y x))
(* y (* (* t (+ x z)) (- x z)))
Outputs
(+.f64 (*.f64 x y) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(+.f64 (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)) (*.f64 x y))
(fma.f64 x y (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 y x))) (*.f64 x y))
(fma.f64 y x (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 y (pow.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) x) (*.f64 x y))
(fma.f64 (/.f64 y x) (-.f64 #s(literal 0 binary64) (*.f64 x z)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (/.f64 y x)) x) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 y x) x) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 y x))) x (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 y x) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 x z) (*.f64 x y))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) y (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) y (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 z (/.f64 y x)) x)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 z (/.f64 y x)) (*.f64 x y))
(fma.f64 (*.f64 x (/.f64 y x)) (-.f64 #s(literal 0 binary64) z) (*.f64 x y))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y x))) z (*.f64 x y))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x) (*.f64 x y))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (/.f64 y x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (*.f64 z (fma.f64 y (/.f64 z x) y)) (*.f64 y y)) (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) y) (*.f64 x (-.f64 (*.f64 y y) (/.f64 (*.f64 z (*.f64 y (*.f64 y z))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (*.f64 z (fma.f64 y (/.f64 z x) y)) (*.f64 y y)) (*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) y) (*.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 z (*.f64 y (*.f64 y z))) (*.f64 x x))) x)))
(/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (fma.f64 (/.f64 y x) (*.f64 z (fma.f64 y (/.f64 z x) y)) (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (/.f64 (*.f64 z (*.f64 y (*.f64 y z))) (*.f64 x x)))) (fma.f64 y (/.f64 z x) y))
(/.f64 (*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) x) (fma.f64 (/.f64 y x) (*.f64 z (fma.f64 y (/.f64 z x) y)) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 z (*.f64 y (*.f64 y z))) (*.f64 x x))) x) (fma.f64 y (/.f64 z x) y))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (*.f64 z (fma.f64 y (/.f64 z x) y)) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 y y) (/.f64 (*.f64 z (*.f64 y (*.f64 y z))) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 z x) y)))
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simplify528.0ms (4%)

Memory
9.7MiB live, 948.5MiB allocated
Algorithm
1×egg-herbie
Rules
18 338×accelerator-lowering-fma.f32
18 338×accelerator-lowering-fma.f64
5 026×*-lowering-*.f32
5 026×*-lowering-*.f64
3 092×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02184022
17923672
225803430
083013404
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
Calls
Call 1
Inputs
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(* (pow z 2) (+ (* -1 (* t y)) (* -1 (/ (* t (* y (+ x (* -1 x)))) z))))
(fma.f64 y (fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 z t) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow z 2) (+ (* -1 (* t y)) (* -1 (/ (+ (* -1 (/ (* t (* (pow x 2) y)) z)) (* t (* y (+ x (* -1 x))))) z))))
(fma.f64 z (fma.f64 z (fma.f64 t (fma.f64 y (fma.f64 x (/.f64 x (*.f64 z z)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow z 2) (+ (* -1 (* t y)) (* -1 (/ (+ (* -1 (/ (* t (* (pow x 2) y)) z)) (* t (* y (+ x (* -1 x))))) z))))
(fma.f64 z (fma.f64 z (fma.f64 t (fma.f64 y (fma.f64 x (/.f64 x (*.f64 z z)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))

eval204.0ms (1.5%)

Memory
13.0MiB live, 444.6MiB allocated
Compiler

Compiled 36 891 to 3 728 computations (89.9% saved)

prune316.0ms (2.4%)

Memory
-21.1MiB live, 362.1MiB allocated
Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New1 73411 735
Fresh000
Picked134
Done088
Total1 735121 747
Accuracy
100.0%
Counts
1 747 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.0%
(/.f64 (*.f64 (*.f64 y (*.f64 (-.f64 x z) y)) t) y)
50.7%
(/.f64 (*.f64 x t) (/.f64 #s(literal 1 binary64) y))
✓54.2%
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y x)))
✓96.8%
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
✓91.0%
(*.f64 (-.f64 x z) (*.f64 y t))
✓97.6%
(*.f64 (*.f64 (-.f64 x z) y) t)
✓54.3%
(*.f64 (*.f64 y x) t)
✓50.9%
(*.f64 (*.f64 y t) x)
✓90.8%
(*.f64 (*.f64 x (-.f64 y (*.f64 z (/.f64 y x)))) t)
✓50.8%
(*.f64 (*.f64 x t) y)
✓88.8%
(*.f64 (*.f64 t (-.f64 x z)) y)
✓86.1%
(*.f64 x (*.f64 t (-.f64 y (/.f64 (*.f64 y z) x))))
Compiler

Compiled 386 to 165 computations (57.3% saved)

regimes58.0ms (0.4%)

Memory
-16.4MiB live, 61.3MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x t) 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)
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (*.f64 x t) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (*.f64 t (-.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) t)
(*.f64 (*.f64 x (-.f64 y (*.f64 z (/.f64 y x)))) t)
(/.f64 (*.f64 (*.f64 y (*.f64 (-.f64 x z) y)) t) y)
(/.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))))
(/.f64 (*.f64 y (*.f64 (*.f64 t (+.f64 x z)) (-.f64 x z))) (+.f64 x z))
(*.f64 (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z)))) (/.f64 t (*.f64 y (+.f64 x z))))
(/.f64 (*.f64 t (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) (*.f64 y (+.f64 x z)))
(/.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 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))) (*.f64 y (*.f64 (+.f64 x z) (*.f64 y (-.f64 x z))))) (*.f64 (*.f64 y (+.f64 x z)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))))) t)
Outputs
(*.f64 (*.f64 (-.f64 x z) y) t)
Calls

6 calls:

24.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
7.0ms
x
6.0ms
t
6.0ms
z
6.0ms
y
Results
AccuracySegmentsBranch
97.6%1x
97.6%1y
97.6%1z
97.6%1t
97.6%1(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
97.6%1(-.f64 (*.f64 x y) (*.f64 z y))
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes64.0ms (0.5%)

Memory
-1.9MiB live, 37.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x t) 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)
(*.f64 (*.f64 y x) t)
Calls

6 calls:

3.0ms
y
3.0ms
x
3.0ms
t
3.0ms
z
3.0ms
(-.f64 (*.f64 x y) (*.f64 z y))
Results
AccuracySegmentsBranch
90.7%2x
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
29.1MiB live, 29.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x t) 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:

2.0ms
x
2.0ms
(-.f64 (*.f64 x y) (*.f64 z y))
2.0ms
y
2.0ms
t
2.0ms
z
Results
AccuracySegmentsBranch
54.3%1y
54.3%1z
54.3%1t
54.3%1(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
54.3%1(-.f64 (*.f64 x y) (*.f64 z y))
54.3%1x
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes23.0ms (0.2%)

Memory
-19.3MiB live, 21.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x t) y)
(*.f64 (*.f64 y t) x)
Outputs
(*.f64 (*.f64 x t) y)
(*.f64 (*.f64 y t) x)
Calls

6 calls:

14.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
2.0ms
t
2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
50.9%1(-.f64 (*.f64 x y) (*.f64 z y))
54.7%2t
53.6%2(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
50.9%1x
50.9%1y
53.5%2z
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes8.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
t
1.0ms
y
1.0ms
z
1.0ms
(-.f64 (*.f64 x y) (*.f64 z y))
1.0ms
x
Results
AccuracySegmentsBranch
50.8%1x
50.8%1(-.f64 (*.f64 x y) (*.f64 z y))
50.8%1y
50.8%1z
50.8%1(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
50.8%1t
Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch6.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
5.0ms
2.8203507698665295e+212
4.1497946043615835e+212
Samples
3.0ms64×0valid
Compiler

Compiled 104 to 75 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (67.8% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
-32.5MiB live, 4.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
34.0ms
0.0016541751961169316
0.0030460505078828276
Samples
33.0ms32×0valid
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 (135.8% 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
14.0MiB live, 14.0MiB allocated
Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
4×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02147
13347
23847
34047
44147
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 x z) y) t)
(if (<=.f64 x #s(literal 285000000000000009741030840170454211032776122612589942821705993337219289169174759253441365239495958627889088956066580645546376073093344097716128806135549989524729812190266210661801967452721418925661936274498387968 binary64)) (*.f64 (*.f64 t (-.f64 x z)) y) (*.f64 (*.f64 y x) t))
(*.f64 (*.f64 y x) t)
(if (<=.f64 t #s(literal 3458764513820541/1152921504606846976 binary64)) (*.f64 (*.f64 x t) y) (*.f64 (*.f64 y t) x))
(*.f64 (*.f64 x t) y)
Outputs
(*.f64 (*.f64 (-.f64 x z) y) t)
(if (<=.f64 x #s(literal 285000000000000009741030840170454211032776122612589942821705993337219289169174759253441365239495958627889088956066580645546376073093344097716128806135549989524729812190266210661801967452721418925661936274498387968 binary64)) (*.f64 (*.f64 t (-.f64 x z)) y) (*.f64 (*.f64 y x) t))
(if (<=.f64 x #s(literal 285000000000000009741030840170454211032776122612589942821705993337219289169174759253441365239495958627889088956066580645546376073093344097716128806135549989524729812190266210661801967452721418925661936274498387968 binary64)) (*.f64 y (*.f64 (-.f64 x z) t)) (*.f64 t (*.f64 x y)))
(*.f64 (*.f64 y x) t)
(*.f64 t (*.f64 x y))
(if (<=.f64 t #s(literal 3458764513820541/1152921504606846976 binary64)) (*.f64 (*.f64 x t) y) (*.f64 (*.f64 y t) x))
(if (<=.f64 t #s(literal 3458764513820541/1152921504606846976 binary64)) (*.f64 y (*.f64 x t)) (*.f64 x (*.f64 y t)))
(*.f64 (*.f64 x t) y)
(*.f64 y (*.f64 x t))

soundness630.0ms (4.8%)

Memory
6.7MiB live, 394.4MiB allocated
Rules
11 204×accelerator-lowering-fma.f32
11 204×accelerator-lowering-fma.f64
6 562×accelerator-lowering-fma.f32
6 562×accelerator-lowering-fma.f64
6 314×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056924
1194666
2574666
32066666
44650666
56765666
67401666
77851666
08112666
0818
13118
223318
3232818
0826218
02397
111497
285897
0851397
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 168 to 100 computations (40.5% saved)

preprocess290.0ms (2.2%)

Memory
17.2MiB live, 416.9MiB allocated
Compiler

Compiled 392 to 218 computations (44.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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