simple fma test

Time bar (total: 4.5s)

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.4s (30.1%)

Memory
35.8MiB live, 1 411.7MiB allocated
Samples
680.0ms6 075×1valid
280.0ms2 181×0valid
Precisions
Click to see histograms. Total time spent on operations: 667.0ms
ival-mult: 280.0ms (42% of total)
ival-add: 183.0ms (27.4% of total)
adjust: 115.0ms (17.2% of total)
ival-sub: 71.0ms (10.6% of total)
exact: 8.0ms (1.2% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess978.0ms (21.7%)

Memory
21.3MiB live, 891.2MiB allocated
Algorithm
egg-herbie
Rules
23 408×accelerator-lowering-fma.f32
23 408×accelerator-lowering-fma.f64
4 272×+-lowering-+.f64
4 272×+-lowering-+.f32
2 324×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044133
1123129
2334126
31142126
43336126
54421126
65060126
75644126
85794126
95800126
105800126
115808126
125808126
136174126
0813
12113
2641
32271
45371
519221
634491
746321
852131
953431
1053751
1153751
1256431
1358161
1458921
1559081
1659081
1759241
1859241
1960521
2068211
085931
Stop Event
iter limit
node limit
saturated
Calls
Call 1
Inputs
(- (+ (* x y) z) (+ 1 (+ (* x y) z)))
Outputs
(- (+ (* x y) z) (+ 1 (+ (* x y) z)))
#s(literal -1 binary64)
Call 2
Inputs
(- (fma x y z) (+ 1 (+ (* x y) z)))
(- (fma (neg x) y z) (+ 1 (+ (* (neg x) y) z)))
(- (fma x (neg y) z) (+ 1 (+ (* x (neg y)) z)))
(- (fma x y (neg z)) (+ 1 (+ (* x y) (neg z))))
(neg (- (fma (neg x) y z) (+ 1 (+ (* (neg x) y) z))))
(neg (- (fma x (neg y) z) (+ 1 (+ (* x (neg y)) z))))
(neg (- (fma x y (neg z)) (+ 1 (+ (* x y) (neg z)))))
(- (fma y x z) (+ 1 (+ (* y x) z)))
(- (fma z y x) (+ 1 (+ (* z y) x)))
(- (fma x z y) (+ 1 (+ (* x z) y)))
Outputs
(- (fma x y z) (+ 1 (+ (* x y) z)))
(+ (fma x y z) (- -1 (+ z (* x y))))
(- (fma (neg x) y z) (+ 1 (+ (* (neg x) y) z)))
(+ (- (* x y) z) (+ (fma (neg x) y z) -1))
(- (fma x (neg y) z) (+ 1 (+ (* x (neg y)) z)))
(+ (* x y) (+ (fma x (neg y) z) (- -1 z)))
(- (fma x y (neg z)) (+ 1 (+ (* x y) (neg z))))
(+ (fma x y (neg z)) (+ z (- -1 (* x y))))
(neg (- (fma (neg x) y z) (+ 1 (+ (* (neg x) y) z))))
(+ (- z (* x y)) (- 1 (fma (neg x) y z)))
(neg (- (fma x (neg y) z) (+ 1 (+ (* x (neg y)) z))))
(- (- z (+ (* x y) -1)) (fma x (neg y) z))
(neg (- (fma x y (neg z)) (+ 1 (+ (* x y) (neg z)))))
(+ (- 1 z) (- (* x y) (fma x y (neg z))))
(- (fma y x z) (+ 1 (+ (* y x) z)))
(+ (fma y x z) (- -1 (+ z (* x y))))
(- (fma z y x) (+ 1 (+ (* z y) x)))
(+ (fma z y x) (- (- -1 x) (* y z)))
(- (fma x z y) (+ 1 (+ (* x z) y)))
(+ (fma x z y) (- (- -1 (* x z)) y))

explain145.0ms (3.2%)

Memory
1.2MiB live, 356.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1896(-1.516391913265017e+220 7.532983369471128e-214 1.836302676141207e-283)0-(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
00-0-(+.f64 (*.f64 x y) z)
00-0-(fma.f64 x y z)
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
00-0-z
00-0-(*.f64 x y)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))cancellation1680
-.f64(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))nan-rescue270
(fma.f64 x y z)overflow27
(+.f64 (*.f64 x y) z)overflow27
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))overflow27
(*.f64 x y)overflow27
Confusion
Predicted +Predicted -
+1890
-661
Precision
0.9692307692307692
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18900
-6061
Precision?
0.9692307692307692
Recall?
1.0
Freqs
test
numberfreq
061
1195
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms384×1valid
7.0ms128×0valid
Compiler

Compiled 104 to 38 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 8.0ms (29% of total)
adjust: 8.0ms (29% of total)
ival-mult: 6.0ms (21.7% of total)
ival-sub: 4.0ms (14.5% of total)
exact: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.1%
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify625.0ms (13.9%)

Memory
27.4MiB live, 886.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
cost-diff0
(fma.f64 x y z)
cost-diff128
(+.f64 (*.f64 x y) z)
cost-diff1152
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
Rules
23 408×accelerator-lowering-fma.f32
23 408×accelerator-lowering-fma.f64
4 272×+-lowering-+.f64
4 272×+-lowering-+.f32
2 324×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0837
12137
26425
322725
453725
5192225
6344925
7463225
8521325
9534325
10537525
11537525
12564325
13581625
14589225
15590825
16590825
17592425
18592425
19605225
20682125
0859322
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (+ (* x y) z) (+ 1 (+ (* x y) z)))
(+ (* x y) z)
x
y
z
(+ 1 (+ (* x y) z))
1
(+ (* x y) z)
(* x y)
Outputs
(- (+ (* x y) z) (+ 1 (+ (* x y) z)))
#s(literal -1 binary64)
(+ (* x y) z)
(fma.f64 x y z)
x
y
z
(+ 1 (+ (* x y) z))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ (* x y) z)
(fma.f64 x y z)
(* x y)
(*.f64 x y)

localize60.0ms (1.3%)

Memory
-22.5MiB live, 56.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 (*.f64 x y) z)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
accuracy28.3%
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
Samples
38.0ms192×1valid
3.0ms64×0valid
Compiler

Compiled 37 to 10 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 4.0ms (31.4% of total)
adjust: 3.0ms (23.6% of total)
ival-mult: 3.0ms (23.6% of total)
ival-sub: 2.0ms (15.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
5 → 168
Calls
Call 1
Inputs
#<alt (- (+ (* x y) z) (+ 1 (+ (* x y) z)))>
#<alt (+ (* x y) z)>
#<alt (+ (* x y) z)>
#<alt (+ 1 (+ (* x y) z))>
#<alt (* x y)>
Outputs
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (+ 1 z)>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (/ 1 x) (/ z x))))>
#<alt (* x (+ y (+ (/ 1 x) (/ z x))))>
#<alt (* x (+ y (+ (/ 1 x) (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))>
#<alt (+ 1 z)>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (/ 1 y) (/ z y))))>
#<alt (* y (+ x (+ (/ 1 y) (/ z y))))>
#<alt (* y (+ x (+ (/ 1 y) (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt z>
#<alt (* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

42 calls:

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

rewrite833.0ms (18.5%)

Memory
-0.1MiB live, 455.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 312×accelerator-lowering-fma.f32
4 312×accelerator-lowering-fma.f64
4 202×*-lowering-*.f32
4 202×*-lowering-*.f64
3 672×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0833
15633
262121
0846518
Stop Event
iter limit
node limit
Counts
5 → 148
Calls
Call 1
Inputs
(- (+ (* x y) z) (+ 1 (+ (* x y) z)))
(+ (* x y) z)
(+ (* x y) z)
(+ 1 (+ (* x y) z))
(* x y)
Outputs
#s(literal -1 binary64)
(+.f64 (*.f64 x y) z)
(+.f64 z (*.f64 x y))
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 x y))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 z (*.f64 x y))))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 y (*.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 x y) z))) (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 x y)) (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y))))))
(/.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (-.f64 z (*.f64 x y)))))
(/.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z))) (fma.f64 z z (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 x y) z))))
(/.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 x y) z))
(/.f64 (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 z z (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 x y) z)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))) (neg.f64 (-.f64 (*.f64 x y) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 z (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (*.f64 (-.f64 (*.f64 x y) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 x y) z) (-.f64 (*.f64 x y) z)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (-.f64 z (*.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x y) z))))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y))))) (neg.f64 (-.f64 z (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z)) (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #s(literal -1 binary64))
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(*.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 z (-.f64 z (*.f64 x y))))))
(*.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 x y) z)))))
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(*.f64 (neg.f64 (fma.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (fma.f64 x y z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x y z) (+.f64 z (fma.f64 x y #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))
(*.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) (-.f64 (*.f64 z z) (*.f64 (fma.f64 x y #s(literal 1 binary64)) z)))))
(*.f64 (fma.f64 (fma.f64 x y z) (fma.f64 x y z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal -1 binary64)))))
(*.f64 (-.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y #s(literal 1 binary64)) z)))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))

simplify234.0ms (5.2%)

Memory
10.9MiB live, 392.0MiB allocated
Algorithm
egg-herbie
Rules
5 866×accelerator-lowering-fma.f32
5 866×accelerator-lowering-fma.f64
2 620×*-lowering-*.f32
2 620×*-lowering-*.f64
1 204×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060630
1204630
2610630
31487630
43776630
55497630
66816630
77550630
08021548
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(+ 1 z)
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
(* x y)
(* x (+ y (+ (/ 1 x) (/ z x))))
(* x (+ y (+ (/ 1 x) (/ z x))))
(* x (+ y (+ (/ 1 x) (/ z x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(+ 1 z)
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
(* x y)
(* y (+ x (+ (/ 1 y) (/ z y))))
(* y (+ x (+ (/ 1 y) (/ z y))))
(* y (+ x (+ (/ 1 y) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(+ 1 (* x y))
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
z
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (+ (/ 1 x) (/ z x))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x (+ y (+ (/ 1 x) (/ z x))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x (+ y (+ (/ 1 x) (/ z x))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (/ 1 y) (/ z y))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* y (+ x (+ (/ 1 y) (/ z y))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* y (+ x (+ (/ 1 y) (/ z y))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (* x y))
(fma.f64 x y #s(literal 1 binary64))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
z
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
z
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval74.0ms (1.6%)

Memory
-18.7MiB live, 71.1MiB allocated
Compiler

Compiled 5 550 to 457 computations (91.8% saved)

prune25.0ms (0.6%)

Memory
17.0MiB live, 55.0MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New3151316
Fresh000
Picked101
Done000
Total3161317
Accuracy
100.0%
Counts
317 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(literal -1 binary64)
Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
-1
Outputs
-1
#s(literal -1 binary64)

localize9.0ms (0.2%)

Memory
-14.3MiB live, 23.1MiB allocated
Samples
7.0ms256×0valid
Compiler

Compiled 3 to 6 computations (-100% saved)

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

series0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

rewrite6.0ms (0.1%)

Memory
19.5MiB live, 19.6MiB allocated
Algorithm
batch-egg-rewrite
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

simplify5.0ms (0.1%)

Memory
-31.3MiB live, 6.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(literal -1 binary64)
Compiler

Compiled 20 to 14 computations (30% saved)

regimes6.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Accuracy

Total -46.0b remaining (-∞%)

Threshold costs -46b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
Outputs
#s(literal -1 binary64)
Calls

4 calls:

2.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify10.0ms (0.2%)

Memory
-28.3MiB live, 14.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)

soundness89.0ms (2%)

Memory
11.6MiB live, 80.8MiB allocated
Rules
4 312×accelerator-lowering-fma.f32
4 312×accelerator-lowering-fma.f64
4 202×*-lowering-*.f32
4 202×*-lowering-*.f64
3 672×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0833
15633
262121
0846518
Stop Event
done
iter limit
node limit
Compiler

Compiled 8 to 8 computations (0% saved)

preprocess41.0ms (0.9%)

Memory
25.7MiB live, 108.4MiB allocated
Compiler

Compiled 46 to 34 computations (26.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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