simple fma test

Time bar (total: 4.3s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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 15 to 10 computations (33.3% saved)

sample1.4s (32.2%)

Memory
50.9MiB live, 1 386.6MiB allocated
Samples
827.0ms6 035×1valid
118.0ms2 221×0valid
Precisions
Click to see histograms. Total time spent on operations: 678.0ms
ival-mult: 331.0ms (48.8% of total)
ival-add: 145.0ms (21.4% of total)
adjust: 124.0ms (18.3% of total)
ival-sub: 65.0ms (9.6% of total)
ival-true: 6.0ms (0.9% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess879.0ms (20.2%)

Memory
11.6MiB live, 803.0MiB allocated
Algorithm
egg-herbie
Rules
23 408×lower-fma.f32
23 406×lower-fma.f64
4 272×lower-+.f32
4 268×lower-+.f64
3 446×associate--l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034138
1119117
23899
314999
430709
538729
645759
753099
859599
960439
1060439
1161519
1262389
1362599
1462719
1562779
1662779
0911
01511
12811
2711
32331
45441
519181
634461
746001
851831
953131
1053451
1153451
1256131
1357831
1458591
1558751
1658751
1758911
1858911
1960191
2067651
085081
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
Outputs
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
#s(literal -1 binary64)
Symmetry

(abs z)

(abs y)

(abs x)

(sort x y z)

explain190.0ms (4.4%)

Memory
-3.0MiB live, 332.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2163(6.131938853677042e-119 10235.14791886339 1852679.7439456414)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)))cancellation2130
-.f64(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))nan-rescue60
(fma.f64 x y z)overflow6
(+.f64 (*.f64 x y) z)overflow6
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))overflow6
(*.f64 x y)overflow6
Confusion
Predicted +Predicted -
+2160
-337
Precision
0.9863013698630136
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+21600
-3037
Precision?
0.9863013698630136
Recall?
1.0
Freqs
test
numberfreq
037
1219
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
94.0ms434×1valid
15.0ms78×0valid
Compiler

Compiled 108 to 38 computations (64.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
adjust: 52.0ms (69.2% of total)
ival-add: 12.0ms (16% of total)
ival-mult: 6.0ms (8% of total)
ival-sub: 4.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.2%
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify882.0ms (20.3%)

Memory
3.4MiB live, 797.7MiB 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×lower-fma.f32
23 406×lower-fma.f64
4 272×lower-+.f32
4 268×lower-+.f64
2 278×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0932
01532
12832
27122
323322
454422
5191822
6344622
7460022
8518322
9531322
10534522
11534522
12561322
13578322
14585922
15587522
16587522
17589122
18589122
19601922
20676522
0850822
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
(fma.f64 x y z)
x
y
z
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
#s(literal 1 binary64)
(+.f64 (*.f64 x y) z)
(*.f64 x y)
Outputs
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
#s(literal -1 binary64)
(fma.f64 x y z)
x
y
z
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
(+.f64 (fma.f64 x y z) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(*.f64 x y)

localize38.0ms (0.9%)

Memory
-2.7MiB live, 75.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 x y) z)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
accuracy100.0%
(*.f64 x y)
accuracy18.2%
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
Samples
22.0ms217×1valid
2.0ms39×0valid
Compiler

Compiled 39 to 10 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 4.0ms (30.2% of total)
adjust: 4.0ms (30.2% of total)
ival-mult: 3.0ms (22.6% of total)
ival-sub: 2.0ms (15.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
4 → 132
Calls
Call 1
Inputs
#<alt (-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))>
#<alt (*.f64 x y)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))>
#<alt (+.f64 (*.f64 x y) z)>
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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (+ 1 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 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)))>
Calls

33 calls:

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

rewrite332.0ms (7.6%)

Memory
26.8MiB live, 377.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 312×lower-fma.f32
4 310×lower-fma.f64
4 202×lower-*.f32
4 200×lower-*.f64
3 672×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0924
01524
16324
262814
0846614
Stop Event
iter limit
node limit
iter limit
Counts
4 → 110
Calls
Call 1
Inputs
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
(*.f64 x y)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
(+.f64 (*.f64 x y) z)
Outputs
#s(literal -1 binary64)
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(+.f64 z (fma.f64 x y #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 (*.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 (fma.f64 x y #s(literal 1 binary64)) z)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (neg.f64 (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))
(+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 x y))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(-.f64 (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (+.f64 z (fma.f64 x y #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 (fma.f64 x y #s(literal 1 binary64)) z)) (/.f64 (*.f64 z z) (-.f64 (fma.f64 x y #s(literal 1 binary64)) z)))
(fma.f64 x y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (fma.f64 x y z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) z (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 z #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (neg.f64 (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))
(fma.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 (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y))))) #s(literal 1 binary64))
(fma.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 z (*.f64 x y))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (neg.f64 z)))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x y)))) z)
(fma.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x y))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x y z) (fma.f64 x y z) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (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) (/.f64 (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))) (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) (/.f64 (+.f64 z (fma.f64 x y #s(literal -1 binary64))) (fma.f64 (fma.f64 x y z) (fma.f64 x y z) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x y #s(literal 1 binary64)) z) (-.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (*.f64 z z))))
(/.f64 (fma.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (fma.f64 x y z)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x y z) (+.f64 z (fma.f64 x y #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (fma.f64 x y z)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x y z) (fma.f64 x y z) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(/.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))) (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 (fma.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (fma.f64 x y z)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 x y z) (fma.f64 x y z) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y z)))) (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))) (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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal 1 binary64))))))
(/.f64 (fma.f64 (fma.f64 x y z) (fma.f64 x y z) #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 (fma.f64 x y #s(literal 1 binary64)) z))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x y z)) (*.f64 (fma.f64 x y z) (fma.f64 x y z)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(/.f64 (neg.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)))) (neg.f64 (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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y z))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x y z) (fma.f64 x y z) #s(literal -1 binary64))) (neg.f64 (+.f64 z (fma.f64 x y #s(literal -1 binary64)))))
(/.f64 (neg.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)))) (neg.f64 (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 (neg.f64 (-.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (*.f64 z z))) (neg.f64 (-.f64 (fma.f64 x y #s(literal 1 binary64)) z)))
(/.f64 (fma.f64 z (*.f64 z z) (*.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))))) (fma.f64 z z (-.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (*.f64 z (fma.f64 x y #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x (*.f64 y (*.f64 x y)) (-.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (*.f64 (*.f64 x y) (+.f64 z #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (fma.f64 (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) (-.f64 z (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (-.f64 (*.f64 x y) (+.f64 z #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (+.f64 z (fma.f64 x y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.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) (fma.f64 (fma.f64 x y z) (+.f64 z (fma.f64 x y #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.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) (fma.f64 (fma.f64 x y z) (fma.f64 x y z) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(*.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 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z)))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 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 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 (*.f64 x (*.f64 y (*.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 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 z (*.f64 x y)))) (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 z (-.f64 z (*.f64 x y)) (*.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 z z (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 x y)))))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (fma.f64 x y (neg.f64 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 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.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 z (*.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))) (neg.f64 (fma.f64 x y (neg.f64 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))) (fma.f64 x y (neg.f64 z))) (*.f64 (fma.f64 x y (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 x y (neg.f64 z)) (fma.f64 x y (neg.f64 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 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))))) (neg.f64 (neg.f64 (fma.f64 x y (neg.f64 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))) (fma.f64 x y (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))) (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 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 z (-.f64 z (*.f64 x y)) (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 x y))))))
(*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (neg.f64 z)))))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x y))))

simplify216.0ms (5%)

Memory
-31.5MiB live, 297.2MiB allocated
Algorithm
egg-herbie
Rules
5 866×lower-fma.f64
5 866×lower-fma.f32
2 620×lower-*.f64
2 620×lower-*.f32
1 216×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060476
1204476
2610476
31485476
43773476
55484476
66794476
77536476
08008421
Stop Event
iter limit
node limit
Counts
132 → 126
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
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(+ 1 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)))
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)))
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)
(* 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)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 (+ z (* x y)))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(+ 1 (+ z (* x y)))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(+ 1 (+ z (* x y)))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(* x y)
(*.f64 x y)
(* x (+ y (+ (/ 1 x) (/ z x))))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(* x (+ y (+ (/ 1 x) (/ z x))))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(* x (+ y (+ (/ 1 x) (/ z x))))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 (+ z (* x y)))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(+ 1 (+ z (* x y)))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(+ 1 (+ z (* x y)))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
(* x y)
(*.f64 x y)
(* y (+ x (+ (/ 1 y) (/ z y))))
(+.f64 #s(literal 1 binary64) (fma.f64 x y z))
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(* x y)
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(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
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(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
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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)
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(* x y)
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(fma.f64 x y z)
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(fma.f64 x y z)
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(+ z (* x y))
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(* x y)
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z
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(fma.f64 x y z)
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(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)

simplify21.0ms (0.5%)

Memory
9.5MiB live, 48.3MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02612335
12632335
02632335
Stop Event
saturated
saturated
Counts
110 → 0
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
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(/.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 z (-.f64 z (*.f64 x y)) (*.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 z z (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 x y)))))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (fma.f64 x y (neg.f64 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 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.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 z (*.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))) (neg.f64 (fma.f64 x y (neg.f64 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))) (fma.f64 x y (neg.f64 z))) (*.f64 (fma.f64 x y (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 x y (neg.f64 z)) (fma.f64 x y (neg.f64 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 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))))) (neg.f64 (neg.f64 (fma.f64 x y (neg.f64 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))) (fma.f64 x y (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))) (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 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 z (-.f64 z (*.f64 x y)) (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 x y))))))
(*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (neg.f64 z)))))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x y))))
Outputs
#s(literal -1 binary64)
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(+.f64 z (fma.f64 x y #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 (*.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 (fma.f64 x y #s(literal 1 binary64)) z)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (neg.f64 (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))
(+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 x y))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(-.f64 (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (+.f64 z (fma.f64 x y #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 (fma.f64 x y #s(literal 1 binary64)) z)) (/.f64 (*.f64 z z) (-.f64 (fma.f64 x y #s(literal 1 binary64)) z)))
(fma.f64 x y (+.f64 z #s(literal 1 binary64)))
(fma.f64 y x (+.f64 z #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (fma.f64 x y z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) z (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 z #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (neg.f64 (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))
(fma.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 (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y))))) #s(literal 1 binary64))
(fma.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 z (*.f64 x y))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (neg.f64 z)))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x y)))) z)
(fma.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x y))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x y z) (fma.f64 x y z) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (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) (/.f64 (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))) (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) (/.f64 (+.f64 z (fma.f64 x y #s(literal -1 binary64))) (fma.f64 (fma.f64 x y z) (fma.f64 x y z) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x y #s(literal 1 binary64)) z) (-.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (*.f64 z z))))
(/.f64 (fma.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (fma.f64 x y z)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x y z) (+.f64 z (fma.f64 x y #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (fma.f64 x y z)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x y z) (fma.f64 x y z) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(/.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))) (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 (fma.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (fma.f64 x y z)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 x y z) (fma.f64 x y z) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y z)))) (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))) (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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal 1 binary64))))))
(/.f64 (fma.f64 (fma.f64 x y z) (fma.f64 x y z) #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 (fma.f64 x y #s(literal 1 binary64)) z))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x y z)) (*.f64 (fma.f64 x y z) (fma.f64 x y z)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(/.f64 (neg.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)))) (neg.f64 (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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y z))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x y z) (fma.f64 x y z) #s(literal -1 binary64))) (neg.f64 (+.f64 z (fma.f64 x y #s(literal -1 binary64)))))
(/.f64 (neg.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)))) (neg.f64 (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 (neg.f64 (-.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (*.f64 z z))) (neg.f64 (-.f64 (fma.f64 x y #s(literal 1 binary64)) z)))
(/.f64 (fma.f64 z (*.f64 z z) (*.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))))) (fma.f64 z z (-.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (*.f64 z (fma.f64 x y #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x (*.f64 y (*.f64 x y)) (-.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (*.f64 (*.f64 x y) (+.f64 z #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (fma.f64 (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))) (/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y z)) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))) (-.f64 z (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (-.f64 (*.f64 x y) (+.f64 z #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 x y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (+.f64 z (fma.f64 x y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.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) (fma.f64 (fma.f64 x y z) (+.f64 z (fma.f64 x y #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.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) (fma.f64 (fma.f64 x y z) (fma.f64 x y z) (-.f64 #s(literal 1 binary64) (fma.f64 x y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(*.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 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z)))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 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 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 (*.f64 x (*.f64 y (*.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 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 z (*.f64 x y)))) (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 z (-.f64 z (*.f64 x y)) (*.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 z z (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 x y)))))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (fma.f64 x y (neg.f64 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 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.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 z (*.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))) (neg.f64 (fma.f64 x y (neg.f64 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))) (fma.f64 x y (neg.f64 z))) (*.f64 (fma.f64 x y (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 x y (neg.f64 z)) (fma.f64 x y (neg.f64 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 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))))) (neg.f64 (neg.f64 (fma.f64 x y (neg.f64 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))) (fma.f64 x y (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z))) (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 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 z (-.f64 z (*.f64 x y)) (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 x y))))))
(*.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (neg.f64 z)))))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x y))))

eval50.0ms (1.1%)

Memory
-15.1MiB live, 61.9MiB allocated
Compiler

Compiled 2 053 to 19 computations (99.1% saved)

prune2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New2511252
Fresh000
Picked101
Done000
Total2521253
Accuracy
100.0%
Counts
253 → 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
4.9MiB live, 4.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize8.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB allocated
Samples
5.0ms256×0valid
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
0.0MiB live, 0.0MiB allocated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

rewrite7.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
batch-egg-rewrite
Iterations

Useful iterations: 0 (0.0ms)

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

simplify40.0ms (0.9%)

Memory
-29.6MiB live, 6.0MiB 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

simplify3.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.8MiB live, 2.8MiB 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
18.6MiB live, 18.6MiB allocated
Accuracy

Total -52.4b remaining (-∞%)

Threshold costs -52.4b (-∞%)

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
2.0ms
y
2.0ms
z
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)

simplify7.0ms (0.2%)

Memory
-19.6MiB live, 16.8MiB 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)

soundness218.0ms (5%)

Memory
6.6MiB live, 118.5MiB allocated
Rules
5 866×lower-fma.f64
5 866×lower-fma.f32
2 620×lower-*.f64
2 620×lower-*.f32
1 216×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060476
1204476
2610476
31485476
43773476
55484476
66794476
77536476
08008421
Stop Event
done
iter limit
node limit
Compiler

Compiled 8 to 8 computations (0% saved)

preprocess34.0ms (0.8%)

Memory
32.7MiB live, 105.1MiB allocated
Remove

(sort x y z)

(abs x)

(abs y)

(abs z)

Compiler

Compiled 78 to 66 computations (15.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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